𝑆=52蜂巢晶格反铁磁体FeP3SiO11的磁性和场诱导效应

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy Physical Review B Pub Date : 2024-11-07 DOI:10.1103/physrevb.110.184402
J. Khatua, M. Gomilšek, Kwang-Yong Choi, P. Khuntia
{"title":"𝑆=52蜂巢晶格反铁磁体FeP3SiO11的磁性和场诱导效应","authors":"J. Khatua, M. Gomilšek, Kwang-Yong Choi, P. Khuntia","doi":"10.1103/physrevb.110.184402","DOIUrl":null,"url":null,"abstract":"Quantum magnets based on honeycomb lattices with a low coordination number offer a viable ground to realize exotic emergent quantum excitations and phenomena arising from the interplay between competing magnetic interactions, spin correlations, and spatial anisotropy. However, unlike their low-spin analogs, high-spin honeycomb lattice antiferromagnets have remained comparatively less explored in the context of capturing the classical limits of quantum phenomena. Herein, we report the crystal structure, magnetic susceptibility, specific heat, and electron spin resonance (ESR) measurements, complemented by <i>ab initio</i> density functional theory (DFT) calculations, on polycrystalline samples of <mjx-container ctxtmenu_counter=\"81\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(7 (2 0 1) 6 (5 3 4))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"2 6 5\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper F e upper P 3 upper S i upper O 11\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">F</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">e</mjx-c><mjx-c style=\"padding-top: 0.657em;\">P</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,4\" data-semantic- data-semantic-owns=\"3 4\" data-semantic-parent=\"7\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">S</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.673em;\">i</mjx-c><mjx-c style=\"padding-top: 0.673em;\">O</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.639em;\">1</mjx-c><mjx-c style=\"padding-top: 0.639em;\">1</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> in which the <mjx-container ctxtmenu_counter=\"82\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(4 0 (3 1 2))\"><mjx-msup data-semantic-children=\"0,3\" data-semantic- data-semantic-owns=\"0 3\" data-semantic-role=\"unknown\" data-semantic-speech=\"upper F e Superscript 3 plus\" data-semantic-type=\"superscript\"><mjx-mrow><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">F</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi></mjx-mrow><mjx-script style=\"vertical-align: 0.384em;\"><mjx-mrow data-semantic-children=\"1\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"4\" data-semantic-role=\"addition\" data-semantic-type=\"postfixop\" size=\"s\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>3</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"postfixop,+\" data-semantic-parent=\"3\" data-semantic-role=\"addition\" data-semantic-type=\"operator\"><mjx-c>+</mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-math></mjx-container> ions decorate a nearly perfect <mjx-container ctxtmenu_counter=\"83\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(5 0 1 (4 2 3))\"><mjx-mrow data-semantic-children=\"0,4\" data-semantic-content=\"1\" data-semantic- data-semantic-owns=\"0 1 4\" data-semantic-role=\"equality\" data-semantic-speech=\"upper S equals five halves\" data-semantic-type=\"relseq\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"5\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>=</mjx-c></mjx-mo><mjx-mfrac data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"2,3\" data-semantic- data-semantic-owns=\"2 3\" data-semantic-parent=\"5\" data-semantic-role=\"vulgar\" data-semantic-type=\"fraction\" space=\"4\"><mjx-frac style=\"vertical-align: 0.148em;\"><mjx-num><mjx-nstrut style=\"height: 0.042em; vertical-align: -0.042em;\"></mjx-nstrut><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>5</mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line style=\"height: 0.068em; border-top: 0.085em solid; margin: 0.068em -0.1em;\"></mjx-line><mjx-row><mjx-den><mjx-dstrut style=\"height: 0.493em;\"></mjx-dstrut><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac></mjx-mrow></mjx-math></mjx-container> honeycomb lattice without any site disorder between constituent atoms. Above 150 K, an antiferromagnetic Weiss temperature <mjx-container ctxtmenu_counter=\"84\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(11 (2 0 1) 3 (10 4 (9 5 8 7)))\"><mjx-mrow data-semantic-children=\"2,10\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3 10\" data-semantic-role=\"equality\" data-semantic-speech=\"theta Subscript upper C upper W Baseline equals minus 12 normal upper K\" data-semantic-type=\"relseq\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"11\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜃</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">C</mjx-c><mjx-c style=\"padding-top: 0.669em;\">W</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"11\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"9\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"4 9\" data-semantic-parent=\"11\" data-semantic-role=\"negative\" data-semantic-type=\"prefixop\" space=\"4\"><mjx-mo data-semantic- data-semantic-operator=\"prefixop,−\" data-semantic-parent=\"10\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\"><mjx-c>−</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"5,7\" data-semantic-content=\"8\" data-semantic- data-semantic-owns=\"5 8 7\" data-semantic-parent=\"10\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">1</mjx-c><mjx-c style=\"padding-top: 0.644em;\">2</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"9\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.16em;\"></mjx-mspace><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>K</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> is observed, consistent with DFT calculations, which suggests the presence of strong intraplanar nearest-neighbor and weaker interplanar further neighbor exchange interactions. An anomaly at <mjx-container ctxtmenu_counter=\"85\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(9 (2 0 1) 3 (8 4 7 6))\"><mjx-mrow data-semantic-children=\"2,8\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3 8\" data-semantic-role=\"equality\" data-semantic-speech=\"upper T Subscript upper N Baseline equals 3.5 normal upper K\" data-semantic-type=\"relseq\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"9\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"4,6\" data-semantic-content=\"7\" data-semantic- data-semantic-owns=\"4 7 6\" data-semantic-parent=\"9\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" space=\"4\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"float\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">3</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">.</mjx-c><mjx-c style=\"padding-top: 0.644em;\">5</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"8\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.16em;\"></mjx-mspace><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>K</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container> in specific heat and magnetic susceptibility reveals the presence of a long-range ordered ground state in zero field. Above <mjx-container ctxtmenu_counter=\"86\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper T Subscript upper N\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container>, ESR evidences short-range spin correlations and unsaturated magnetic entropy, while below <mjx-container ctxtmenu_counter=\"87\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper T Subscript upper N\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> unconventional excitations are seen via power-law specific heat. A spin-flop transition is observed at an applied field of <mjx-container ctxtmenu_counter=\"88\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(13 (12 (2 0 1) 11 (8 3 (7 4 6 5))) 9 10)\"><mjx-mrow data-semantic-children=\"12,10\" data-semantic-content=\"9\" data-semantic- data-semantic-owns=\"12 9 10\" data-semantic-role=\"equality\" data-semantic-speech=\"mu 0 upper H Subscript c Baseline 1 Baseline equals 0.2\" data-semantic-type=\"relseq\"><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,8\" data-semantic-content=\"11\" data-semantic- data-semantic-owns=\"2 11 8\" data-semantic-parent=\"13\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"12\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"12\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,7\" data-semantic- data-semantic-owns=\"3 7\" data-semantic-parent=\"12\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"4,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"4 6 5\" data-semantic-parent=\"8\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑐</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>1</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"13\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>=</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"float\" data-semantic-type=\"number\" space=\"4\"><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">0</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.644em;\">.</mjx-c><mjx-c style=\"padding-top: 0.644em;\">2</mjx-c></mjx-mn></mjx-mrow></mjx-math></mjx-container> T. At higher applied fields, <mjx-container ctxtmenu_counter=\"89\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(2 0 1)\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper T Subscript upper N\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> is gradually suppressed down to zero at <mjx-container ctxtmenu_counter=\"90\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(17 (14 (2 0 1) 13 (8 3 (7 4 6 5))) 9 (16 10 15 12))\"><mjx-mrow data-semantic-children=\"14,16\" data-semantic-content=\"9\" data-semantic- data-semantic-owns=\"14 9 16\" data-semantic-role=\"equality\" data-semantic-speech=\"mu 0 upper H Subscript normal c Baseline 2 Baseline equals 5.6 normal upper T\" data-semantic-type=\"relseq\"><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,8\" data-semantic-content=\"13\" data-semantic- data-semantic-owns=\"2 13 8\" data-semantic-parent=\"17\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"14\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"14\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,7\" data-semantic- data-semantic-owns=\"3 7\" data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"4,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"4 6 5\" data-semantic-parent=\"8\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>c</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"17\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"10,12\" data-semantic-content=\"15\" data-semantic- data-semantic-owns=\"10 15 12\" data-semantic-parent=\"17\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" space=\"4\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"16\" data-semantic-role=\"float\" data-semantic-type=\"number\"><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">5</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.646em;\">.</mjx-c><mjx-c style=\"padding-top: 0.646em;\">6</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"16\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.16em;\"></mjx-mspace><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"16\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>T</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container>. Above <mjx-container ctxtmenu_counter=\"91\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(10 (2 0 1) 9 (8 3 (7 4 6 5)))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"2,8\" data-semantic-content=\"9\" data-semantic- data-semantic-owns=\"2 9 8\" data-semantic-role=\"implicit\" data-semantic-speech=\"mu 0 upper H Subscript normal c Baseline 2\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"10\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"2\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"10\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"3,7\" data-semantic- data-semantic-owns=\"3 7\" data-semantic-parent=\"10\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.048em;\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"4,5\" data-semantic-content=\"6\" data-semantic- data-semantic-owns=\"4 6 5\" data-semantic-parent=\"8\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>c</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"7\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"7\" data-semantic-role=\"integer\" data-semantic-type=\"number\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, a broad maximum in specific heat due to gapped magnon excitations indicates the emergence of an interesting nearly polarized state dressed by a disordered state in this honeycomb lattice antiferromagnet.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"244 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Magnetism and field-induced effects in the𝑆=52honeycomb lattice antiferromagnetFeP3⁢SiO11\",\"authors\":\"J. Khatua, M. Gomilšek, Kwang-Yong Choi, P. Khuntia\",\"doi\":\"10.1103/physrevb.110.184402\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Quantum magnets based on honeycomb lattices with a low coordination number offer a viable ground to realize exotic emergent quantum excitations and phenomena arising from the interplay between competing magnetic interactions, spin correlations, and spatial anisotropy. However, unlike their low-spin analogs, high-spin honeycomb lattice antiferromagnets have remained comparatively less explored in the context of capturing the classical limits of quantum phenomena. Herein, we report the crystal structure, magnetic susceptibility, specific heat, and electron spin resonance (ESR) measurements, complemented by <i>ab initio</i> density functional theory (DFT) calculations, on polycrystalline samples of <mjx-container ctxtmenu_counter=\\\"81\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(7 (2 0 1) 6 (5 3 4))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"2 6 5\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"upper F e upper P 3 upper S i upper O 11\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">F</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">e</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">P</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>3</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,4\\\" data-semantic- data-semantic-owns=\\\"3 4\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.673em;\\\">S</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.673em;\\\">i</mjx-c><mjx-c style=\\\"padding-top: 0.673em;\\\">O</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.639em;\\\">1</mjx-c><mjx-c style=\\\"padding-top: 0.639em;\\\">1</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> in which the <mjx-container ctxtmenu_counter=\\\"82\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(4 0 (3 1 2))\\\"><mjx-msup data-semantic-children=\\\"0,3\\\" data-semantic- data-semantic-owns=\\\"0 3\\\" data-semantic-role=\\\"unknown\\\" data-semantic-speech=\\\"upper F e Superscript 3 plus\\\" data-semantic-type=\\\"superscript\\\"><mjx-mrow><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">F</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi></mjx-mrow><mjx-script style=\\\"vertical-align: 0.384em;\\\"><mjx-mrow data-semantic-children=\\\"1\\\" data-semantic-content=\\\"2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"addition\\\" data-semantic-type=\\\"postfixop\\\" size=\\\"s\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>3</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\\\"postfixop,+\\\" data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"addition\\\" data-semantic-type=\\\"operator\\\"><mjx-c>+</mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx-msup></mjx-math></mjx-container> ions decorate a nearly perfect <mjx-container ctxtmenu_counter=\\\"83\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(5 0 1 (4 2 3))\\\"><mjx-mrow data-semantic-children=\\\"0,4\\\" data-semantic-content=\\\"1\\\" data-semantic- data-semantic-owns=\\\"0 1 4\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper S equals five halves\\\" data-semantic-type=\\\"relseq\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑆</mjx-c></mjx-mi><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" space=\\\"4\\\"><mjx-c>=</mjx-c></mjx-mo><mjx-mfrac data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-children=\\\"2,3\\\" data-semantic- data-semantic-owns=\\\"2 3\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"vulgar\\\" data-semantic-type=\\\"fraction\\\" space=\\\"4\\\"><mjx-frac style=\\\"vertical-align: 0.148em;\\\"><mjx-num><mjx-nstrut style=\\\"height: 0.042em; vertical-align: -0.042em;\\\"></mjx-nstrut><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>5</mjx-c></mjx-mn></mjx-num><mjx-dbox><mjx-dtable><mjx-line style=\\\"height: 0.068em; border-top: 0.085em solid; margin: 0.068em -0.1em;\\\"></mjx-line><mjx-row><mjx-den><mjx-dstrut style=\\\"height: 0.493em;\\\"></mjx-dstrut><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac></mjx-mrow></mjx-math></mjx-container> honeycomb lattice without any site disorder between constituent atoms. Above 150 K, an antiferromagnetic Weiss temperature <mjx-container ctxtmenu_counter=\\\"84\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(11 (2 0 1) 3 (10 4 (9 5 8 7)))\\\"><mjx-mrow data-semantic-children=\\\"2,10\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"2 3 10\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"theta Subscript upper C upper W Baseline equals minus 12 normal upper K\\\" data-semantic-type=\\\"relseq\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜃</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.669em;\\\">C</mjx-c><mjx-c style=\\\"padding-top: 0.669em;\\\">W</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" space=\\\"4\\\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-children=\\\"9\\\" data-semantic-content=\\\"4\\\" data-semantic- data-semantic-owns=\\\"4 9\\\" data-semantic-parent=\\\"11\\\" data-semantic-role=\\\"negative\\\" data-semantic-type=\\\"prefixop\\\" space=\\\"4\\\"><mjx-mo data-semantic- data-semantic-operator=\\\"prefixop,−\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"subtraction\\\" data-semantic-type=\\\"operator\\\"><mjx-c>−</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"5,7\\\" data-semantic-content=\\\"8\\\" data-semantic- data-semantic-owns=\\\"5 8 7\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">1</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">2</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0.16em;\\\"></mjx-mspace><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>K</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-mrow></mjx-math></mjx-container> is observed, consistent with DFT calculations, which suggests the presence of strong intraplanar nearest-neighbor and weaker interplanar further neighbor exchange interactions. An anomaly at <mjx-container ctxtmenu_counter=\\\"85\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(9 (2 0 1) 3 (8 4 7 6))\\\"><mjx-mrow data-semantic-children=\\\"2,8\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"2 3 8\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"upper T Subscript upper N Baseline equals 3.5 normal upper K\\\" data-semantic-type=\\\"relseq\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" space=\\\"4\\\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"4,6\\\" data-semantic-content=\\\"7\\\" data-semantic- data-semantic-owns=\\\"4 7 6\\\" data-semantic-parent=\\\"9\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" space=\\\"4\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"float\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">3</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">.</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">5</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0.16em;\\\"></mjx-mspace><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>K</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container> in specific heat and magnetic susceptibility reveals the presence of a long-range ordered ground state in zero field. Above <mjx-container ctxtmenu_counter=\\\"86\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper T Subscript upper N\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container>, ESR evidences short-range spin correlations and unsaturated magnetic entropy, while below <mjx-container ctxtmenu_counter=\\\"87\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper T Subscript upper N\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> unconventional excitations are seen via power-law specific heat. A spin-flop transition is observed at an applied field of <mjx-container ctxtmenu_counter=\\\"88\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(13 (12 (2 0 1) 11 (8 3 (7 4 6 5))) 9 10)\\\"><mjx-mrow data-semantic-children=\\\"12,10\\\" data-semantic-content=\\\"9\\\" data-semantic- data-semantic-owns=\\\"12 9 10\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"mu 0 upper H Subscript c Baseline 1 Baseline equals 0.2\\\" data-semantic-type=\\\"relseq\\\"><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,8\\\" data-semantic-content=\\\"11\\\" data-semantic- data-semantic-owns=\\\"2 11 8\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,7\\\" data-semantic- data-semantic-owns=\\\"3 7\\\" data-semantic-parent=\\\"12\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"4,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"4 6 5\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑐</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>1</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" space=\\\"4\\\"><mjx-c>=</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"13\\\" data-semantic-role=\\\"float\\\" data-semantic-type=\\\"number\\\" space=\\\"4\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">0</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.644em;\\\">.</mjx-c><mjx-c style=\\\"padding-top: 0.644em;\\\">2</mjx-c></mjx-mn></mjx-mrow></mjx-math></mjx-container> T. At higher applied fields, <mjx-container ctxtmenu_counter=\\\"89\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(2 0 1)\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper T Subscript upper N\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c>𝑁</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container> is gradually suppressed down to zero at <mjx-container ctxtmenu_counter=\\\"90\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(17 (14 (2 0 1) 13 (8 3 (7 4 6 5))) 9 (16 10 15 12))\\\"><mjx-mrow data-semantic-children=\\\"14,16\\\" data-semantic-content=\\\"9\\\" data-semantic- data-semantic-owns=\\\"14 9 16\\\" data-semantic-role=\\\"equality\\\" data-semantic-speech=\\\"mu 0 upper H Subscript normal c Baseline 2 Baseline equals 5.6 normal upper T\\\" data-semantic-type=\\\"relseq\\\"><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,8\\\" data-semantic-content=\\\"13\\\" data-semantic- data-semantic-owns=\\\"2 13 8\\\" data-semantic-parent=\\\"17\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"14\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"14\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,7\\\" data-semantic- data-semantic-owns=\\\"3 7\\\" data-semantic-parent=\\\"14\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"4,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"4 6 5\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>c</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow><mjx-mo data-semantic- data-semantic-operator=\\\"relseq,=\\\" data-semantic-parent=\\\"17\\\" data-semantic-role=\\\"equality\\\" data-semantic-type=\\\"relation\\\" space=\\\"4\\\"><mjx-c>=</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\\\"true\\\" data-semantic-annotation=\\\"clearspeak:simple;clearspeak:unit\\\" data-semantic-children=\\\"10,12\\\" data-semantic-content=\\\"15\\\" data-semantic- data-semantic-owns=\\\"10 15 12\\\" data-semantic-parent=\\\"17\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" space=\\\"4\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"16\\\" data-semantic-role=\\\"float\\\" data-semantic-type=\\\"number\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">5</mjx-c><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.646em;\\\">.</mjx-c><mjx-c style=\\\"padding-top: 0.646em;\\\">6</mjx-c></mjx-mn><mjx-mspace data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"16\\\" data-semantic-role=\\\"space\\\" data-semantic-type=\\\"operator\\\" style=\\\"width: 0.16em;\\\"></mjx-mspace><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"16\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>T</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container>. Above <mjx-container ctxtmenu_counter=\\\"91\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(10 (2 0 1) 9 (8 3 (7 4 6 5)))\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"2,8\\\" data-semantic-content=\\\"9\\\" data-semantic- data-semantic-owns=\\\"2 9 8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-speech=\\\"mu 0 upper H Subscript normal c Baseline 2\\\" data-semantic-type=\\\"infixop\\\"><mjx-msub data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"greekletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝜇</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em;\\\"><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"2\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>0</mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"3,7\\\" data-semantic- data-semantic-owns=\\\"3 7\\\" data-semantic-parent=\\\"10\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝐻</mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.15em; margin-left: -0.048em;\\\"><mjx-mrow data-semantic-annotation=\\\"clearspeak:unit\\\" data-semantic-children=\\\"4,5\\\" data-semantic-content=\\\"6\\\" data-semantic- data-semantic-owns=\\\"4 6 5\\\" data-semantic-parent=\\\"8\\\" data-semantic-role=\\\"implicit\\\" data-semantic-type=\\\"infixop\\\" size=\\\"s\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>c</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"infixop,⁢\\\" data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"multiplication\\\" data-semantic-type=\\\"operator\\\"><mjx-c>⁢</mjx-c></mjx-mo><mjx-mn data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"7\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-mrow></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, a broad maximum in specific heat due to gapped magnon excitations indicates the emergence of an interesting nearly polarized state dressed by a disordered state in this honeycomb lattice antiferromagnet.\",\"PeriodicalId\":20082,\"journal\":{\"name\":\"Physical Review B\",\"volume\":\"244 1\",\"pages\":\"\"},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-11-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevb.110.184402\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.110.184402","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0

摘要

基于低配位数蜂巢晶格的量子磁体为实现奇异的新兴量子激元以及竞争磁相互作用、自旋相关性和空间各向异性之间的相互作用所产生的现象提供了一个可行的基础。然而,与低自旋类似物不同,高自旋蜂巢晶格反铁磁体在捕捉量子现象的经典极限方面的探索仍然相对较少。在此,我们报告了对 FeP3SiO11 多晶样品的晶体结构、磁感应强度、比热和电子自旋共振(ESR)测量结果,并辅以原子序数密度泛函理论(DFT)计算,其中 Fe3+ 离子装饰了近乎完美的𝑆=52 蜂窝晶格,组成原子之间没有任何位点紊乱。在 150 K 以上,观察到反铁磁性韦斯温度𝜃CW=-12K,这与 DFT 计算一致,表明存在较强的平面内近邻和较弱的平面间远邻交换相互作用。在 𝑇𝑁=3.5K 时,比热和磁感应强度出现异常,这表明在零场中存在长程有序基态。在𝑇𝑁以上,ESR 证明了短程自旋相关性和不饱和磁熵,而在𝑇𝑁以下,通过幂律比热可以看到非常规激发。在更高的外加磁场中,𝑇𝑁逐渐被抑制,在𝜇0𝐻c2=5.6T时降至零。在 𝜇0𝐻c2 以上,间隙磁子激发导致的比热出现了一个宽广的最大值,这表明在这种蜂巢晶格反铁磁体中出现了一个有趣的近极化态,由无序态包裹。
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Magnetism and field-induced effects in the𝑆=52honeycomb lattice antiferromagnetFeP3⁢SiO11
Quantum magnets based on honeycomb lattices with a low coordination number offer a viable ground to realize exotic emergent quantum excitations and phenomena arising from the interplay between competing magnetic interactions, spin correlations, and spatial anisotropy. However, unlike their low-spin analogs, high-spin honeycomb lattice antiferromagnets have remained comparatively less explored in the context of capturing the classical limits of quantum phenomena. Herein, we report the crystal structure, magnetic susceptibility, specific heat, and electron spin resonance (ESR) measurements, complemented by ab initio density functional theory (DFT) calculations, on polycrystalline samples of FeP3SiO11 in which the Fe3+ ions decorate a nearly perfect 𝑆=52 honeycomb lattice without any site disorder between constituent atoms. Above 150 K, an antiferromagnetic Weiss temperature 𝜃CW=12K is observed, consistent with DFT calculations, which suggests the presence of strong intraplanar nearest-neighbor and weaker interplanar further neighbor exchange interactions. An anomaly at 𝑇𝑁=3.5K in specific heat and magnetic susceptibility reveals the presence of a long-range ordered ground state in zero field. Above 𝑇𝑁, ESR evidences short-range spin correlations and unsaturated magnetic entropy, while below 𝑇𝑁 unconventional excitations are seen via power-law specific heat. A spin-flop transition is observed at an applied field of 𝜇0𝐻𝑐1=0.2 T. At higher applied fields, 𝑇𝑁 is gradually suppressed down to zero at 𝜇0𝐻c2=5.6T. Above 𝜇0𝐻c2, a broad maximum in specific heat due to gapped magnon excitations indicates the emergence of an interesting nearly polarized state dressed by a disordered state in this honeycomb lattice antiferromagnet.
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来源期刊
Physical Review B
Physical Review B 物理-物理:凝聚态物理
CiteScore
6.70
自引率
32.40%
发文量
0
审稿时长
3.0 months
期刊介绍: Physical Review B (PRB) is the world’s largest dedicated physics journal, publishing approximately 100 new, high-quality papers each week. The most highly cited journal in condensed matter physics, PRB provides outstanding depth and breadth of coverage, combined with unrivaled context and background for ongoing research by scientists worldwide. PRB covers the full range of condensed matter, materials physics, and related subfields, including: -Structure and phase transitions -Ferroelectrics and multiferroics -Disordered systems and alloys -Magnetism -Superconductivity -Electronic structure, photonics, and metamaterials -Semiconductors and mesoscopic systems -Surfaces, nanoscience, and two-dimensional materials -Topological states of matter
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