Correction to “Field-Free Spin-Orbit Torque Driven Perpendicular Magnetization Switching of Ferrimagnetic Layer Based on Noncollinear Antiferromagnetic Spin Source”

IF 5.3 2区材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY Advanced Electronic Materials Pub Date : 2024-10-22 DOI:10.1002/aelm.202400758

{"title":"Correction to “Field-Free Spin-Orbit Torque Driven Perpendicular Magnetization Switching of Ferrimagnetic Layer Based on Noncollinear Antiferromagnetic Spin Source”","authors":"","doi":"10.1002/aelm.202400758","DOIUrl":null,"url":null,"abstract":"D. Meng, S. Chen, C. Ren, J. Li, G. Lan, C. Li, Y. Liu, Y. Su, G. Yu, G. Chai, R. Xiong, W. Zhao, G. Yang, S. Liang, Adv. Electron. Mater. 2024, 10, 2300665.\nhttps://doi.org/10.1002/aelm.202300665\nThe original expression for Equation (6):\n<mjx-container ctxtmenu_counter=\"2\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/aelm983-math-0001.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"2,64\" data-semantic-content=\"3\" data-semantic- data-semantic-role=\"equality\" data-semantic-speech=\"xi Subscript z Baseline equals StartFraction upper A Subscript upper D upper L Superscript z Baseline Over upper A Subscript upper F upper L Superscript y Baseline EndFraction StartFraction e mu 0 upper M Subscript normal s Baseline t Subscript s o u r c e Baseline t Subscript upper F upper M Baseline Over italic h over two pi EndFraction left bracket 1 plus left parenthesis upper M Subscript e f f Baseline divided by upper H Subscript r e s Baseline right parenthesis right bracket Superscript one half\" data-semantic-type=\"relseq\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"65\" 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></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><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></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"65\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"14,35,61\" data-semantic-content=\"62,63\" data-semantic- data-semantic-parent=\"65\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mfrac data-semantic-children=\"8,13\" data-semantic- data-semantic-parent=\"64\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-msubsup data-semantic-children=\"4,5,6\" data-semantic-collapsed=\"(8 (7 4 5) 6)\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\" size=\"s\"><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></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.308em; margin-left: 0px;\"><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\" size=\"s\"><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-num><mjx-dbox><mjx-dtable><mjx-line></mjx-line><mjx-row><mjx-den><mjx-dstrut></mjx-dstrut><mjx-msubsup data-semantic-children=\"9,10,11\" data-semantic-collapsed=\"(13 (12 9 10) 11)\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.309em; margin-left: 0px;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"64\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.33em;\"></mjx-mspace><mjx-mfrac data-semantic-children=\"33,34\" data-semantic- data-semantic-parent=\"64\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"16,19,22,25,28\" data-semantic-content=\"29,30,31,32\" data-semantic- data-semantic-parent=\"35\" 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=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"17,18\" data-semantic- data-semantic-parent=\"33\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"19\" data-semantic-role=\"greekletter\" 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data-semantic-speech=\"xi Subscript z Baseline equals StartFraction upper A Subscript upper D upper L Superscript z Baseline Over upper A Subscript upper F upper L Superscript y Baseline EndFraction StartFraction e mu 0 upper M Subscript normal s Baseline t Subscript s o u r c e Baseline t Subscript upper F upper M Baseline Over italic h over two pi EndFraction left bracket 1 plus left parenthesis upper M Subscript e f f Baseline divided by upper H Subscript r e s Baseline right parenthesis right bracket Superscript one half\" data-semantic-type=\"relseq\"><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"65\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">ξ</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">z</mi></msub><mo data-semantic-=\"\" data-semantic-operator=\"relseq,=\" data-semantic-parent=\"65\" data-semantic-role=\"equality\" data-semantic-type=\"relation\">=</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"14,35,61\" data-semantic-content=\"62,63\" data-semantic-parent=\"65\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mfrac data-semantic-=\"\" data-semantic-children=\"8,13\" data-semantic-parent=\"64\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><msubsup data-semantic-=\"\" data-semantic-children=\"4,5,6\" data-semantic-collapsed=\"(8 (7 4 5) 6)\" data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" 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data-semantic-=\"\" data-semantic-children=\"20,21\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">M</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">s</mi></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"23,24\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"25\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">t</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"25\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">source</mi></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"26,27\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"28\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">t</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"28\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">FM</mi></msub></mrow><mi data-semantic-=\"\" data-semantic-parent=\"35\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">ℏ</mi></mfrac><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"64\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msup data-semantic-=\"\" data-semantic-children=\"57,60\" data-semantic-parent=\"64\" data-semantic-role=\"leftright\" data-semantic-type=\"superscript\"><mrow data-semantic-=\"\" data-semantic-children=\"55\" data-semantic-content=\"36,56\" data-semantic-parent=\"61\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"57\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">[</mo><mrow data-semantic-=\"\" data-semantic-children=\"37,54\" data-semantic-content=\"38\" data-semantic-parent=\"57\" data-semantic-role=\"addition\" data-semantic-type=\"infixop\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"55\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mo data-semantic-=\"\" data-semantic-operator=\"infixop,+\" data-semantic-parent=\"55\" data-semantic-role=\"addition\" data-semantic-type=\"operator\">+</mo><mrow data-semantic-=\"\" data-semantic-children=\"52\" data-semantic-content=\"39,53\" data-semantic-parent=\"55\" data-semantic-role=\"leftright\" data-semantic-type=\"fenced\"><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"54\" data-semantic-role=\"open\" data-semantic-type=\"fence\" stretchy=\"false\">(</mo><mrow data-semantic-=\"\" data-semantic-children=\"42,51\" data-semantic-content=\"43\" data-semantic-parent=\"54\" data-semantic-role=\"division\" data-semantic-type=\"infixop\"><msub data-semantic-=\"\" data-semantic-children=\"40,41\" data-semantic-parent=\"52\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"42\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">M</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"42\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">eff</mi></msub><mo data-semantic-=\"\" data-semantic-operator=\"infixop,/\" data-semantic-parent=\"52\" data-semantic-role=\"division\" data-semantic-type=\"operator\">/</mo><msub data-semantic-=\"\" data-semantic-children=\"44,50\" data-semantic-parent=\"52\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"51\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">H</mi><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"45,46,47\" data-semantic-content=\"48,49\" data-semantic-parent=\"51\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"50\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">r</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"50\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"50\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">e</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"50\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"50\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">s</mi></mrow></msub></mrow><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"54\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">)</mo></mrow></mrow><mo data-semantic-=\"\" data-semantic-operator=\"fenced\" data-semantic-parent=\"57\" data-semantic-role=\"close\" data-semantic-type=\"fence\" stretchy=\"false\">]</mo></mrow><mfrac data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-children=\"58,59\" data-semantic-parent=\"61\" data-semantic-role=\"vulgar\" data-semantic-type=\"fraction\"><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"60\" data-semantic-role=\"integer\" data-semantic-type=\"number\">1</mn><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"60\" data-semantic-role=\"integer\" data-semantic-type=\"number\">2</mn></mfrac></msup></mrow></mrow>${{\\xi }_z} = \\frac{{A_{{\\mathrm{DL}}}^z}}{{A_{{\\mathrm{FL}}}^y}}\\ \\frac{{e{{\\mu }_0}{{M}_{\\mathrm{s}}}{{t}_{{\\mathrm{source}}}}{{t}_{{\\mathrm{FM}}}}}}{\\hbar }{{[ {1 + ( {{{M}_{{\\mathrm{eff}}}}/{{H}_{res}}} )} ]}^{\\frac{1}{2}}}$</annotation></semantics></math></mjx-assistive-mml></mjx-container>\nshould be corrected to:\n<mjx-container ctxtmenu_counter=\"3\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\" location=\"graphic/aelm983-math-0002.png\"><mjx-semantics><mjx-mrow data-semantic-children=\"2,37\" data-semantic-content=\"3\" data-semantic- data-semantic-role=\"equality\" data-semantic-speech=\"xi Subscript z Baseline equals StartFraction upper A Subscript upper D upper L Superscript z Baseline Over upper A Subscript upper F upper L Superscript y Baseline EndFraction StartFraction e mu 0 upper M Subscript normal s Baseline t Subscript s o u r c e Baseline t Subscript upper F upper M Baseline Over italic h over two pi EndFraction\" data-semantic-type=\"relseq\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-parent=\"38\" 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></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><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></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic- data-semantic-operator=\"relseq,=\" data-semantic-parent=\"38\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" rspace=\"5\" space=\"5\"><mjx-c></mjx-c></mjx-mo><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"14,35\" data-semantic-content=\"36\" data-semantic- data-semantic-parent=\"38\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mjx-mfrac data-semantic-children=\"8,13\" data-semantic- data-semantic-parent=\"37\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-msubsup data-semantic-children=\"4,5,6\" data-semantic-collapsed=\"(8 (7 4 5) 6)\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\" size=\"s\"><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></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.308em; margin-left: 0px;\"><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\" size=\"s\"><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-num><mjx-dbox><mjx-dtable><mjx-line></mjx-line><mjx-row><mjx-den><mjx-dstrut></mjx-dstrut><mjx-msubsup data-semantic-children=\"9,10,11\" data-semantic-collapsed=\"(13 (12 9 10) 11)\" data-semantic- data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\" size=\"s\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.309em; margin-left: 0px;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac><mjx-mspace data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"37\" data-semantic-role=\"space\" data-semantic-type=\"operator\" style=\"width: 0.33em;\"></mjx-mspace><mjx-mfrac data-semantic-children=\"33,34\" data-semantic- data-semantic-parent=\"37\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><mjx-frac><mjx-num><mjx-nstrut></mjx-nstrut><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"16,19,22,25,28\" data-semantic-content=\"29,30,31,32\" data-semantic- data-semantic-parent=\"35\" 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=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"17,18\" data-semantic- data-semantic-parent=\"33\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"19\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\"><mjx-c></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=\"19\" data-semantic-role=\"integer\" data-semantic-type=\"number\" size=\"s\"><mjx-c></mjx-c></mjx-mn></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"20,21\" data-semantic- data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.081em;\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"23,24\" data-semantic- data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"25\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"25\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-msub data-semantic-children=\"26,27\" data-semantic- data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"28\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"28\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-mrow></mjx-num><mjx-dbox><mjx-dtable><mjx-line></mjx-line><mjx-row><mjx-den><mjx-dstrut></mjx-dstrut><mjx-mi data-semantic- data-semantic-parent=\"35\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi></mjx-den></mjx-row></mjx-dtable></mjx-dbox></mjx-frac></mjx-mfrac></mjx-mrow></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml display=\"inline\" unselectable=\"on\"><math altimg=\"urn:x-wiley:2199160X:media:aelm983:aelm983-math-0002\" display=\"inline\" location=\"graphic/aelm983-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow data-semantic-=\"\" data-semantic-children=\"2,37\" data-semantic-content=\"3\" data-semantic-role=\"equality\" data-semantic-speech=\"xi Subscript z Baseline equals StartFraction upper A Subscript upper D upper L Superscript z Baseline Over upper A Subscript upper F upper L Superscript y Baseline EndFraction StartFraction e mu 0 upper M Subscript normal s Baseline t Subscript s o u r c e Baseline t Subscript upper F upper M Baseline Over italic h over two pi EndFraction\" data-semantic-type=\"relseq\"><msub data-semantic-=\"\" data-semantic-children=\"0,1\" data-semantic-parent=\"38\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">ξ</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"2\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">z</mi></msub><mo data-semantic-=\"\" data-semantic-operator=\"relseq,=\" data-semantic-parent=\"38\" data-semantic-role=\"equality\" data-semantic-type=\"relation\">=</mo><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"14,35\" data-semantic-content=\"36\" data-semantic-parent=\"38\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mfrac data-semantic-=\"\" data-semantic-children=\"8,13\" data-semantic-parent=\"37\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><msubsup data-semantic-=\"\" data-semantic-children=\"4,5,6\" data-semantic-collapsed=\"(8 (7 4 5) 6)\" data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">A</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"8\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">DL</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">z</mi></msubsup><msubsup data-semantic-=\"\" data-semantic-children=\"9,10,11\" data-semantic-collapsed=\"(13 (12 9 10) 11)\" data-semantic-parent=\"14\" data-semantic-role=\"latinletter\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">A</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"13\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">FL</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"13\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">y</mi></msubsup></mfrac><mspace data-semantic-=\"\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"37\" data-semantic-role=\"space\" data-semantic-type=\"operator\" width=\"0.33em\"></mspace><mfrac data-semantic-=\"\" data-semantic-children=\"33,34\" data-semantic-parent=\"37\" data-semantic-role=\"division\" data-semantic-type=\"fraction\"><mrow data-semantic-=\"\" data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"16,19,22,25,28\" data-semantic-content=\"29,30,31,32\" data-semantic-parent=\"35\" data-semantic-role=\"implicit\" data-semantic-type=\"infixop\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">e</mi><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"17,18\" data-semantic-parent=\"33\" data-semantic-role=\"greekletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"19\" data-semantic-role=\"greekletter\" data-semantic-type=\"identifier\">μ</mi><mn data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"19\" data-semantic-role=\"integer\" data-semantic-type=\"number\">0</mn></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"20,21\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">M</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"22\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">s</mi></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"23,24\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"25\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">t</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"25\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">source</mi></msub><mo data-semantic-=\"\" data-semantic-added=\"true\" data-semantic-operator=\"infixop,⁢\" data-semantic-parent=\"33\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\">⁢</mo><msub data-semantic-=\"\" data-semantic-children=\"26,27\" data-semantic-parent=\"33\" data-semantic-role=\"latinletter\" data-semantic-type=\"subscript\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"28\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">t</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"28\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">FM</mi></msub></mrow><mi data-semantic-=\"\" data-semantic-parent=\"35\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\">ℏ</mi></mfrac></mrow></mrow>${{\\xi }_z} = \\frac{{A_{{\\mathrm{DL}}}^z}}{{A_{{\\mathrm{FL}}}^y}}\\ \\frac{{e{{\\mu }_0}{{M}_{\\mathrm{s}}}{{t}_{{\\mathrm{source}}}}{{t}_{{\\mathrm{FM}}}}}}{\\hbar }$</annotation></semantics></math></mjx-assistive-mml></mjx-container>\nWe would like to clarify that the previous calculations were performed using the correct equation.","PeriodicalId":110,"journal":{"name":"Advanced Electronic Materials","volume":"17 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Electronic Materials","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1002/aelm.202400758","RegionNum":2,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

D. Meng, S. Chen, C. Ren, J. Li, G. Lan, C. Li, Y. Liu, Y. Su, G. Yu, G. Chai, R. Xiong, W. Zhao, G. Yang, S. Liang, Adv. Electron. Mater. 2024, 10, 2300665.

https://doi.org/10.1002/aelm.202300665

The original expression for Equation (6):

$ξ_{z} = \frac{A_{DL}^{z}}{A_{FL}^{y}} \frac{e μ_{0} M_{s} t_{source} t_{FM}}{ℏ} {[1 + (M_{eff} / H_{r e s})]}^{\frac{1}{2}} ${{\xi }_z} = \frac{{A_{{\mathrm{DL}}}^z}}{{A_{{\mathrm{FL}}}^y}}\ \frac{{e{{\mu }_0}{{M}_{\mathrm{s}}}{{t}_{{\mathrm{source}}}}{{t}_{{\mathrm{FM}}}}}}{\hbar }{{[ {1 + ( {{{M}_{{\mathrm{eff}}}}/{{H}_{res}}} )} ]}^{\frac{1}{2}}}$$

should be corrected to:

$ξ_{z} = \frac{A_{DL}^{z}}{A_{FL}^{y}} \frac{e μ_{0} M_{s} t_{source} t_{FM}}{ℏ} ${{\xi }_z} = \frac{{A_{{\mathrm{DL}}}^z}}{{A_{{\mathrm{FL}}}^y}}\ \frac{{e{{\mu }_0}{{M}_{\mathrm{s}}}{{t}_{{\mathrm{source}}}}{{t}_{{\mathrm{FM}}}}}}{\hbar }$$

We would like to clarify that the previous calculations were performed using the correct equation.

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对 "基于非共线反铁磁性自旋源的铁磁层无磁场自旋轨道转矩驱动垂直磁化切换 "的更正

D.Meng, S. Chen, C. Ren, J. Li, G. Lan, C. Li, Y. Liu, Y. Su, G. Yu, G. Chai, R. Xiong, W. Zhao, G. Yang, S. Liang, Adv. Electron.Mater.2024, 10, 2300665.https://doi.org/10.1002/aelm.202300665方程 (6) 的原始表达式为ξz=ADLzAFLye⁢μ0⁢Ms⁢tsource⁢tFMℏ⁢[1+(Meff/Hr⁢e⁢s)]12${{\xi }_z} = \frac{{A_{{\mathrm{DL}}}^z}}{{A_{{\mathrm{FL}}}^y}}\ \frac{{e{{\mu}_0}{{M}_{{m\mathrm{s}}}{{t}_{{{m\mathrm{source}}}}{{t}_{{{m\mathrm{FM}}}}}}{hbar }{{[ {1 + ( {{{M}_{{{m\mathrm{eff}}}}/{{H}_{res}}} )}}}}^{{frac{1}{2}}}$ 应该修正为：ξz=ADLzAFLyeμ0MstsourcetFMℏ${{xi }_z} = \frac{{A_{{Mathrm{DL}}}^z}}{{A_{{Mathrm{FL}}}^y}}\ \frac{{e{{\mu}_0}{{M}_{m\mathrm{s}}}{{t}_{{m\mathrm{source}}}}{{t}_{{m\mathrm{FM}}}}}}{hbar }$我们想澄清的是，之前的计算使用的是正确的方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advanced Electronic Materials NANOSCIENCE & NANOTECHNOLOGYMATERIALS SCIE-MATERIALS SCIENCE, MULTIDISCIPLINARY

CiteScore

11.00

自引率

3.20%

发文量

433

期刊介绍： Advanced Electronic Materials is an interdisciplinary forum for peer-reviewed, high-quality, high-impact research in the fields of materials science, physics, and engineering of electronic and magnetic materials. It includes research on physics and physical properties of electronic and magnetic materials, spintronics, electronics, device physics and engineering, micro- and nano-electromechanical systems, and organic electronics, in addition to fundamental research.