Mingwei Ma, Philippe Bourges, Yvan Sidis, Jinzhao Sun, Guoqing Wang, Kazuki Iida, Kazuya Kamazawa, Jitae T. Park, Frederic Bourdarot, Zhian Ren, Yuan Li
{"title":"Ferromagnetic interlayer coupling inFeSe1−𝑥S𝑥superconductors revealed by inelastic neutron scattering","authors":"Mingwei Ma, Philippe Bourges, Yvan Sidis, Jinzhao Sun, Guoqing Wang, Kazuki Iida, Kazuya Kamazawa, Jitae T. Park, Frederic Bourdarot, Zhian Ren, Yuan Li","doi":"10.1103/physrevb.110.174503","DOIUrl":null,"url":null,"abstract":"<mjx-container ctxtmenu_counter=\"69\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(10 (5 0 (4 1 2 3)) 9 (8 6 7))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"5,8\" data-semantic-content=\"9\" data-semantic- data-semantic-owns=\"5 9 8\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper F e upper S e Subscript 1 minus x Baseline normal upper S Subscript x\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,4\" data-semantic- data-semantic-owns=\"0 4\" data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><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: 0.669em;\">F</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">e</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">S</mjx-c><mjx-c style=\"padding-top: 0.669em;\">e</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mrow data-semantic-children=\"1,3\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"infixop\" size=\"s\"><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\"><mjx-c>1</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"4\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑥</mjx-c></mjx-mi></mjx-mrow></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=\"6,7\" data-semantic- data-semantic-owns=\"6 7\" data-semantic-parent=\"10\" 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=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>S</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=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑥</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container> superconductors are commonly considered layered van der Waals materials with negligible interlayer coupling. Here, using inelastic neutron scattering to study spin excitations in single-crystal samples, we reveal that the magnetic coupling between adjacent Fe layers is ferromagnetic in nature, making the system different from most unconventional superconductors including iron pnictides. The weak interlayer coupling is estimated to be <mjx-container ctxtmenu_counter=\"70\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(6 (2 0 1) 4 5)\"><mjx-mrow data-semantic-children=\"2,5\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"2 4 5\" data-semantic-role=\"equality\" data-semantic-speech=\"upper J Subscript c Baseline tilde\" data-semantic-type=\"relseq\"><mjx-msub data-semantic-children=\"0,1\" data-semantic- data-semantic-owns=\"0 1\" data-semantic-parent=\"6\" 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>𝐽</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em; margin-left: -0.063em;\"><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>𝑐</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mspace style=\"width: 0.4em;\"></mjx-mspace><mjx-mo data-semantic- data-semantic-operator=\"relseq,∼\" data-semantic-parent=\"6\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>∼</mjx-c></mjx-mo><mjx-mrow data-semantic-added=\"true\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"empty\"></mjx-mrow></mjx-mrow></mjx-math></mjx-container> 0.2 meV, in agreement with the short spin-spin correlation length <mjx-container ctxtmenu_counter=\"71\" 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) 4 (9 6 8 7))\"><mjx-mrow data-semantic-children=\"2,9\" data-semantic-content=\"4\" data-semantic- data-semantic-owns=\"2 4 9\" data-semantic-role=\"equality\" data-semantic-speech=\"xi Subscript c Baseline tilde 0.2 c\" data-semantic-type=\"relseq\"><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>𝜉</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>𝑐</mjx-c></mjx-mi></mjx-script></mjx-msub><mjx-mspace style=\"width: 0.4em;\"></mjx-mspace><mjx-mo data-semantic- data-semantic-operator=\"relseq,∼\" data-semantic-parent=\"10\" data-semantic-role=\"equality\" data-semantic-type=\"relation\" space=\"4\"><mjx-c>∼</mjx-c></mjx-mo><mjx-mspace style=\"width: 0.4em;\"></mjx-mspace><mjx-mrow data-semantic-added=\"true\" data-semantic-annotation=\"clearspeak:simple;clearspeak:unit\" data-semantic-children=\"6,7\" data-semantic-content=\"8\" data-semantic- data-semantic-owns=\"6 8 7\" data-semantic-parent=\"10\" 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=\"9\" data-semantic-role=\"float\" data-semantic-type=\"number\"><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-mo data-semantic-added=\"true\" data-semantic- data-semantic-operator=\"infixop,\" data-semantic-parent=\"9\" data-semantic-role=\"multiplication\" data-semantic-type=\"operator\"><mjx-c></mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"9\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑐</mjx-c></mjx-mi></mjx-mrow></mjx-mrow></mjx-math></mjx-container> along the <mjx-container ctxtmenu_counter=\"72\" 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=\"c\" data-semantic-type=\"identifier\"><mjx-c>𝑐</mjx-c></mjx-mi></mjx-math></mjx-container> axis. The results provide an experimental basis for establishing a microscopic theoretical model to describe the absence of magnetic order in <mjx-container ctxtmenu_counter=\"73\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"(10 (5 0 (4 1 2 3)) 9 (8 6 7))\"><mjx-mrow data-semantic-annotation=\"clearspeak:unit\" data-semantic-children=\"5,8\" data-semantic-content=\"9\" data-semantic- data-semantic-owns=\"5 9 8\" data-semantic-role=\"implicit\" data-semantic-speech=\"upper F e upper S e Subscript 1 minus x Baseline normal upper S Subscript x\" data-semantic-type=\"infixop\"><mjx-msub data-semantic-children=\"0,4\" data-semantic- data-semantic-owns=\"0 4\" data-semantic-parent=\"10\" data-semantic-role=\"unknown\" data-semantic-type=\"subscript\"><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: 0.669em;\">F</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">e</mjx-c><mjx-c noic=\"true\" style=\"padding-top: 0.669em;\">S</mjx-c><mjx-c style=\"padding-top: 0.669em;\">e</mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.15em;\"><mjx-mrow data-semantic-children=\"1,3\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"1 2 3\" data-semantic-parent=\"5\" data-semantic-role=\"subtraction\" data-semantic-type=\"infixop\" size=\"s\"><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\"><mjx-c>1</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator=\"infixop,−\" data-semantic-parent=\"4\" data-semantic-role=\"subtraction\" data-semantic-type=\"operator\"><mjx-c>−</mjx-c></mjx-mo><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>𝑥</mjx-c></mjx-mi></mjx-mrow></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=\"6,7\" data-semantic- data-semantic-owns=\"6 7\" data-semantic-parent=\"10\" 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=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c>S</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=\"8\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c>𝑥</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-mrow></mjx-math></mjx-container>.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":"155 1","pages":""},"PeriodicalIF":3.7000,"publicationDate":"2024-11-05","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.110.174503","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
Abstract
FeSe1−𝑥S𝑥 superconductors are commonly considered layered van der Waals materials with negligible interlayer coupling. Here, using inelastic neutron scattering to study spin excitations in single-crystal samples, we reveal that the magnetic coupling between adjacent Fe layers is ferromagnetic in nature, making the system different from most unconventional superconductors including iron pnictides. The weak interlayer coupling is estimated to be 𝐽𝑐∼ 0.2 meV, in agreement with the short spin-spin correlation length 𝜉𝑐∼0.2𝑐 along the 𝑐 axis. The results provide an experimental basis for establishing a microscopic theoretical model to describe the absence of magnetic order in FeSe1−𝑥S𝑥.
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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