高磁场下德哈斯-范阿尔芬量子振荡所揭示的拓扑金属β-ReO2 的费米学与泽曼分裂

IF 3.7 2区 物理与天体物理 Q1 Physics and Astronomy Physical Review B Pub Date : 2024-11-04 DOI:10.1103/physrevb.110.205109
Yong Zhang, Ming-Hui Gao, Guanzhang Liu, Lin Cao, Yang-Yang Lv, Senyang Pan, Jinglei Zhang, Li Pi, Shu-Hua Yao, Jian Zhou, Y. B. Chen, Yan-Feng Chen
{"title":"高磁场下德哈斯-范阿尔芬量子振荡所揭示的拓扑金属β-ReO2 的费米学与泽曼分裂","authors":"Yong Zhang, Ming-Hui Gao, Guanzhang Liu, Lin Cao, Yang-Yang Lv, Senyang Pan, Jinglei Zhang, Li Pi, Shu-Hua Yao, Jian Zhou, Y. B. Chen, Yan-Feng Chen","doi":"10.1103/physrevb.110.205109","DOIUrl":null,"url":null,"abstract":"Recently, <i>β-</i><mjx-container ctxtmenu_counter=\"59\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> was theoretically proposed to be a candidate for Dirac nodal chain metal with hourglasslike energy-momentum dispersion and got considerable attention. Here, we have grown high-quality <i>β-</i><mjx-container ctxtmenu_counter=\"60\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> single crystals with a residual-resistivity ratio as large as 428. The magnetoresistance (MR) can reach 7 × <mjx-container ctxtmenu_counter=\"61\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(4 (2 0 1) 3)\"><mjx-mrow data-semantic-children=\"2,3\" data-semantic-content=\"3\" data-semantic- data-semantic-owns=\"2 3\" data-semantic-role=\"endpunct\" data-semantic-speech=\"10 Superscript 4 Baseline percent sign\" data-semantic-type=\"punctuated\"><mjx-msup data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"4\" data-semantic-role=\"integer\" data-semantic-type=\"superscript\"><mjx-mrow><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\"><mjx-c noic=\"true\" style=\"padding-top: 0.642em;\">1</mjx-c><mjx-c style=\"padding-top: 0.642em;\">0</mjx-c></mjx-mn></mjx-mrow><mjx-script style=\"vertical-align: 0.369em;\"><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>4</mjx-c></mjx-mn></mjx-script></mjx-msup><mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"punctuation\"><mjx-c>%</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> measured under 9 T at 2 K. The fitting of MR and Hall data simultaneously by maximum entropy mobility spectrum reveals that there are two electron pockets and two hole pockets in <i>β-</i><mjx-container ctxtmenu_counter=\"62\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> with comparable carrier concentrations, which leads to the large unsaturated MR in <i>β-</i><mjx-container ctxtmenu_counter=\"63\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>. Furthermore, we characterize the fermiology parameters of <i>β-</i><mjx-container ctxtmenu_counter=\"64\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> through de Haas–van Alphen (dHvA) effect studies at the high field up to 45.2 T. Aided by the Fermi surface (FS) calculated by first-principles, experimental dHvA analysis also substantiates the coexistence of two electron pockets and two hole pockets at the FS, which is in line with mobility spectrum analysis. Remarkably, the Landau fan diagram analysis for one of the electron pockets verifies the nontrivial Berry phase (≈0.87<i>π</i>) in <i>β-</i><mjx-container ctxtmenu_counter=\"65\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, suggesting that <i>β-</i><mjx-container ctxtmenu_counter=\"66\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> may be a topological material. In addition, in the high field (&gt;20 T), we also probed signatures of Zeeman splitting, from which the Landé <mjx-container ctxtmenu_counter=\"67\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"g\" data-semantic-type=\"identifier\"><mjx-c>𝑔</mjx-c></mjx-mi></mjx-math></mjx-container> factors are extracted as ∼0.33–0.43. The detailed fermiology of <i>β-</i><mjx-container ctxtmenu_counter=\"68\" 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 4 (3 1 2))\"><mjx-mrow data-semantic-children=\"0,3\" data-semantic-content=\"4,0\" data-semantic- data-semantic-owns=\"0 4 3\" data-semantic-role=\"prefix function\" data-semantic-speech=\"re normal upper O 2\" data-semantic-type=\"appl\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"prefix function\" data-semantic-type=\"function\"><mjx-c noic=\"true\" style=\"padding-top: 0.657em;\">R</mjx-c><mjx-c style=\"padding-top: 0.657em;\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"appl\" data-semantic-parent=\"5\" data-semantic-role=\"application\" data-semantic-type=\"punctuation\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\"1,2\" data-semantic- data-semantic-owns=\"1 2\" data-semantic-parent=\"5\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\" space=\"2\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"3\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>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=\"3\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> provides valuable insights into the physical properties of other topological metals with similar characteristics.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fermiology and Zeeman splitting of the topological metalβ-Re⁡O2probed by de Haas–van Alphen quantum oscillations under high magnetic fields\",\"authors\":\"Yong Zhang, Ming-Hui Gao, Guanzhang Liu, Lin Cao, Yang-Yang Lv, Senyang Pan, Jinglei Zhang, Li Pi, Shu-Hua Yao, Jian Zhou, Y. B. Chen, Yan-Feng Chen\",\"doi\":\"10.1103/physrevb.110.205109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Recently, <i>β-</i><mjx-container ctxtmenu_counter=\\\"59\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> was theoretically proposed to be a candidate for Dirac nodal chain metal with hourglasslike energy-momentum dispersion and got considerable attention. Here, we have grown high-quality <i>β-</i><mjx-container ctxtmenu_counter=\\\"60\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> single crystals with a residual-resistivity ratio as large as 428. The magnetoresistance (MR) can reach 7 × <mjx-container ctxtmenu_counter=\\\"61\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"(4 (2 0 1) 3)\\\"><mjx-mrow data-semantic-children=\\\"2,3\\\" data-semantic-content=\\\"3\\\" data-semantic- data-semantic-owns=\\\"2 3\\\" data-semantic-role=\\\"endpunct\\\" data-semantic-speech=\\\"10 Superscript 4 Baseline percent sign\\\" data-semantic-type=\\\"punctuated\\\"><mjx-msup data-semantic-children=\\\"0,1\\\" data-semantic- data-semantic-owns=\\\"0 1\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"superscript\\\"><mjx-mrow><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\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.642em;\\\">1</mjx-c><mjx-c style=\\\"padding-top: 0.642em;\\\">0</mjx-c></mjx-mn></mjx-mrow><mjx-script style=\\\"vertical-align: 0.369em;\\\"><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>4</mjx-c></mjx-mn></mjx-script></mjx-msup><mjx-mo data-semantic- data-semantic-operator=\\\"punctuated\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>%</mjx-c></mjx-mo></mjx-mrow></mjx-math></mjx-container> measured under 9 T at 2 K. The fitting of MR and Hall data simultaneously by maximum entropy mobility spectrum reveals that there are two electron pockets and two hole pockets in <i>β-</i><mjx-container ctxtmenu_counter=\\\"62\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> with comparable carrier concentrations, which leads to the large unsaturated MR in <i>β-</i><mjx-container ctxtmenu_counter=\\\"63\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>. Furthermore, we characterize the fermiology parameters of <i>β-</i><mjx-container ctxtmenu_counter=\\\"64\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> through de Haas–van Alphen (dHvA) effect studies at the high field up to 45.2 T. Aided by the Fermi surface (FS) calculated by first-principles, experimental dHvA analysis also substantiates the coexistence of two electron pockets and two hole pockets at the FS, which is in line with mobility spectrum analysis. Remarkably, the Landau fan diagram analysis for one of the electron pockets verifies the nontrivial Berry phase (≈0.87<i>π</i>) in <i>β-</i><mjx-container ctxtmenu_counter=\\\"65\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>, suggesting that <i>β-</i><mjx-container ctxtmenu_counter=\\\"66\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> may be a topological material. In addition, in the high field (&gt;20 T), we also probed signatures of Zeeman splitting, from which the Landé <mjx-container ctxtmenu_counter=\\\"67\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" overflow=\\\"linebreak\\\" role=\\\"tree\\\" sre-explorer- style=\\\"font-size: 100.7%;\\\" tabindex=\\\"0\\\"><mjx-math data-semantic-structure=\\\"0\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"g\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>𝑔</mjx-c></mjx-mi></mjx-math></mjx-container> factors are extracted as ∼0.33–0.43. The detailed fermiology of <i>β-</i><mjx-container ctxtmenu_counter=\\\"68\\\" 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 4 (3 1 2))\\\"><mjx-mrow data-semantic-children=\\\"0,3\\\" data-semantic-content=\\\"4,0\\\" data-semantic- data-semantic-owns=\\\"0 4 3\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-speech=\\\"re normal upper O 2\\\" data-semantic-type=\\\"appl\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"prefix function\\\" data-semantic-type=\\\"function\\\"><mjx-c noic=\\\"true\\\" style=\\\"padding-top: 0.657em;\\\">R</mjx-c><mjx-c style=\\\"padding-top: 0.657em;\\\">e</mjx-c></mjx-mi><mjx-mo data-semantic-added=\\\"true\\\" data-semantic- data-semantic-operator=\\\"appl\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"application\\\" data-semantic-type=\\\"punctuation\\\"><mjx-c>⁡</mjx-c></mjx-mo><mjx-msub data-semantic-children=\\\"1,2\\\" data-semantic- data-semantic-owns=\\\"1 2\\\" data-semantic-parent=\\\"5\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"subscript\\\" space=\\\"2\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"3\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c>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=\\\"3\\\" data-semantic-role=\\\"integer\\\" data-semantic-type=\\\"number\\\" size=\\\"s\\\"><mjx-c>2</mjx-c></mjx-mn></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> provides valuable insights into the physical properties of other topological metals with similar characteristics.\",\"PeriodicalId\":20082,\"journal\":{\"name\":\"Physical Review B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-11-04\",\"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.110.205109\",\"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.110.205109","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

最近,β-ReO2 被理论界提出为具有沙漏状能量动量弥散的狄拉克结链金属候选材料,并引起了广泛关注。在这里,我们培育出了残余电阻率比高达 428 的高质量 β-ReO2 单晶。通过最大熵迁移率谱同时拟合磁阻和霍尔数据,我们发现在载流子浓度相当的β-ReO2 中存在两个电子袋和两个空穴,这导致了β-ReO2 中存在大量不饱和磁阻。此外,我们还通过德哈斯-范阿尔芬(dHvA)效应研究,在高达 45.2 T 的高场条件下描述了 β-ReO2 的费米学参数。在第一原理计算的费米面(FS)的帮助下,实验性 dHvA 分析也证实了在 FS 上存在两个电子袋和两个空穴袋,这与迁移率谱分析是一致的。值得注意的是,对其中一个电子袋的朗道扇形图分析验证了β-ReO2 中的非三相贝里相(≈0.87π),这表明β-ReO2 可能是一种拓扑材料。此外,在高磁场(20 T)下,我们还探测到了泽曼分裂的特征,从中提取出了∼0.33-0.43的Landé 𝑔因子。β-ReO2的详细费米学为了解具有类似特征的其他拓扑金属的物理性质提供了宝贵的见解。
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Fermiology and Zeeman splitting of the topological metalβ-Re⁡O2probed by de Haas–van Alphen quantum oscillations under high magnetic fields
Recently, β-ReO2 was theoretically proposed to be a candidate for Dirac nodal chain metal with hourglasslike energy-momentum dispersion and got considerable attention. Here, we have grown high-quality β-ReO2 single crystals with a residual-resistivity ratio as large as 428. The magnetoresistance (MR) can reach 7 × 104% measured under 9 T at 2 K. The fitting of MR and Hall data simultaneously by maximum entropy mobility spectrum reveals that there are two electron pockets and two hole pockets in β-ReO2 with comparable carrier concentrations, which leads to the large unsaturated MR in β-ReO2. Furthermore, we characterize the fermiology parameters of β-ReO2 through de Haas–van Alphen (dHvA) effect studies at the high field up to 45.2 T. Aided by the Fermi surface (FS) calculated by first-principles, experimental dHvA analysis also substantiates the coexistence of two electron pockets and two hole pockets at the FS, which is in line with mobility spectrum analysis. Remarkably, the Landau fan diagram analysis for one of the electron pockets verifies the nontrivial Berry phase (≈0.87π) in β-ReO2, suggesting that β-ReO2 may be a topological material. In addition, in the high field (>20 T), we also probed signatures of Zeeman splitting, from which the Landé 𝑔 factors are extracted as ∼0.33–0.43. The detailed fermiology of β-ReO2 provides valuable insights into the physical properties of other topological metals with similar characteristics.
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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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