偶极子-八极子量子自旋冰候选材料Ce2Zr2O7的单晶漫射中子散射研究:T=0.05 K以上无明显的八极相关

IF 11.6 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
E. M. Smith, R. Schäfer, J. Dudemaine, B. Placke, B. Yuan, Z. Morgan, F. Ye, R. Moessner, O. Benton, A. D. Bianchi, B. D. Gaulin
{"title":"偶极子-八极子量子自旋冰候选材料Ce2Zr2O7的单晶漫射中子散射研究:T=0.05 K以上无明显的八极相关","authors":"E. M. Smith, R. Schäfer, J. Dudemaine, B. Placke, B. Yuan, Z. Morgan, F. Ye, R. Moessner, O. Benton, A. D. Bianchi, B. D. Gaulin","doi":"10.1103/physrevx.15.021033","DOIUrl":null,"url":null,"abstract":"The insulating magnetic pyrochlore Ce</a:mi></a:mrow>2</a:mn></a:mrow></a:msub></a:mrow>Zr</a:mi></a:mrow>2</a:mn></a:mrow></a:msub>O</a:mi></a:mrow>7</a:mn></a:mrow></a:msub></a:mrow></a:math> has gained attention as a quantum spin-ice candidate with dipole-octupole character that arises from the crystal-electric-field ground-state doublet for the <d:math xmlns:d=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><d:mrow><d:msup><d:mrow><d:mi>Ce</d:mi></d:mrow><d:mrow><d:mn>3</d:mn><d:mo>+</d:mo></d:mrow></d:msup></d:mrow></d:math> Kramers ion. This dipole-octupole character permits both spin-ice phases based on magnetic dipoles and those based on more-exotic octupoles. This work reports low-temperature neutron diffraction measurements on single-crystal <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mrow><f:mrow><f:msub><f:mrow><f:mi>Ce</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub></f:mrow><f:msub><f:mrow><f:mi>Zr</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub><f:msub><f:mrow><f:mi mathvariant=\"normal\">O</f:mi></f:mrow><f:mrow><f:mn>7</f:mn></f:mrow></f:msub></f:mrow></f:math> with <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:mi>Q</i:mi></i:math> coverage both at low <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>Q</k:mi></k:math>, where the magnetic form factor for dipoles is near maximal, and at high <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mi>Q</m:mi></m:math>, covering the region where the magnetic form factor for <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mrow><o:msup><o:mrow><o:mi>Ce</o:mi></o:mrow><o:mrow><o:mn>3</o:mn><o:mo>+</o:mo></o:mrow></o:msup></o:mrow></o:math> octupoles is near maximal. This study was motivated by recent powder neutron diffraction studies of other Ce-based dipole-octupole pyrochlores, <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mrow><q:mrow><q:msub><q:mrow><q:mi>Ce</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub></q:mrow><q:msub><q:mrow><q:mi>Sn</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub><q:msub><q:mrow><q:mi mathvariant=\"normal\">O</q:mi></q:mrow><q:mrow><q:mn>7</q:mn></q:mrow></q:msub></q:mrow></q:math> and <t:math xmlns:t=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><t:mrow><t:mrow><t:msub><t:mrow><t:mi>Ce</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub></t:mrow><t:msub><t:mrow><t:mi>Hf</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub><t:msub><t:mrow><t:mi mathvariant=\"normal\">O</t:mi></t:mrow><t:mrow><t:mn>7</t:mn></t:mrow></t:msub></t:mrow></t:math>, which each showed temperature-dependent diffuse diffraction at high <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mi>Q</w:mi></w:math>, interpreted as arising from octupolar correlations. Our measurements use an optimized single-crystal diffuse scattering instrument that allows us to screen against strong Bragg scattering from <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mrow><y:mrow><y:msub><y:mrow><y:mi>Ce</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub></y:mrow><y:msub><y:mrow><y:mi>Zr</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi mathvariant=\"normal\">O</y:mi></y:mrow><y:mrow><y:mn>7</y:mn></y:mrow></y:msub></y:mrow></y:math>. The temperature-difference neutron diffraction reveals a low-<bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:mi>Q</bb:mi></bb:math> peak consistent with dipolar spin-ice correlations reported in previous work, and an alternation between positive and negative net intensity at higher <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mi>Q</db:mi></db:math>. These features are consistent with our numerical-linked-cluster calculations using pseudospin interaction parameters previously reported for <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:mrow><fb:mrow><fb:msub><fb:mrow><fb:mi>Ce</fb:mi></fb:mrow><fb:mrow><fb:mn>2</fb:mn></fb:mrow></fb:msub></fb:mrow><fb:msub><fb:mrow><fb:mi>Zr</fb:mi></fb:mrow><fb:mrow><fb:mn>2</fb:mn></fb:mrow></fb:msub><fb:msub><fb:mrow><fb:mi mathvariant=\"normal\">O</fb:mi></fb:mrow><fb:mrow><fb:mn>7</fb:mn></fb:mrow></fb:msub></fb:mrow></fb:math>, <ib:math xmlns:ib=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ib:mrow><ib:msub><ib:mrow><ib:mi>Ce</ib:mi></ib:mrow><ib:mrow><ib:mn>2</ib:mn></ib:mrow></ib:msub></ib:mrow><ib:msub><ib:mi>Sn</ib:mi><ib:mn>2</ib:mn></ib:msub><ib:msub><ib:mi mathvariant=\"normal\">O</ib:mi><ib:mn>7</ib:mn></ib:msub></ib:math>, and <lb:math xmlns:lb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><lb:mrow><lb:msub><lb:mrow><lb:mi>Ce</lb:mi></lb:mrow><lb:mrow><lb:mn>2</lb:mn></lb:mrow></lb:msub></lb:mrow><lb:msub><lb:mi>Hf</lb:mi><lb:mn>2</lb:mn></lb:msub><lb:msub><lb:mi mathvariant=\"normal\">O</lb:mi><lb:mn>7</lb:mn></lb:msub></lb:math>. Importantly, neither the measured data nor any of the NLC calculations show evidence for increased scattering at high <ob:math xmlns:ob=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ob:mi>Q</ob:mi></ob:math> resulting from octupolar correlations. We conclude that at the lowest attainable temperature for our measurements (<qb:math xmlns:qb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><qb:mi>T</qb:mi><qb:mo>=</qb:mo><qb:mn>0.05</qb:mn><qb:mtext> </qb:mtext><qb:mtext> </qb:mtext><qb:mi mathvariant=\"normal\">K</qb:mi></qb:math>), scattering from octupolar correlations in <tb:math xmlns:tb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><tb:mrow><tb:msub><tb:mrow><tb:mi>Ce</tb:mi></tb:mrow><tb:mrow><tb:mn>2</tb:mn></tb:mrow></tb:msub></tb:mrow><tb:msub><tb:mi>Zr</tb:mi><tb:mn>2</tb:mn></tb:msub><tb:msub><tb:mi mathvariant=\"normal\">O</tb:mi><tb:mn>7</tb:mn></tb:msub></tb:math> is not present in the neutron diffraction signal on the level of our observation threshold of around 0.1% of the low-<wb:math xmlns:wb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><wb:mi>Q</wb:mi></wb:math> dipole scattering. We compare these results to those obtained earlier on powder <yb:math xmlns:yb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><yb:mrow><yb:msub><yb:mrow><yb:mi>Ce</yb:mi></yb:mrow><yb:mrow><yb:mn>2</yb:mn></yb:mrow></yb:msub></yb:mrow><yb:msub><yb:mi>Sn</yb:mi><yb:mn>2</yb:mn></yb:msub><yb:msub><yb:mi mathvariant=\"normal\">O</yb:mi><yb:mn>7</yb:mn></yb:msub></yb:math> and <bc:math xmlns:bc=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bc:mrow><bc:msub><bc:mrow><bc:mi>Ce</bc:mi></bc:mrow><bc:mrow><bc:mn>2</bc:mn></bc:mrow></bc:msub></bc:mrow><bc:msub><bc:mi>Hf</bc:mi><bc:mn>2</bc:mn></bc:msub><bc:msub><bc:mi mathvariant=\"normal\">O</bc:mi><bc:mn>7</bc:mn></bc:msub></bc:math>, and to low-energy inelastic neutron scattering from single-crystal <ec:math xmlns:ec=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><ec:mrow><ec:mrow><ec:msub><ec:mrow><ec:mi>Ce</ec:mi></ec:mrow><ec:mrow><ec:mn>2</ec:mn></ec:mrow></ec:msub></ec:mrow><ec:msub><ec:mrow><ec:mi>Zr</ec:mi></ec:mrow><ec:mrow><ec:mn>2</ec:mn></ec:mrow></ec:msub><ec:msub><ec:mrow><ec:mi mathvariant=\"normal\">O</ec:mi></ec:mrow><ec:mrow><ec:mn>7</ec:mn></ec:mrow></ec:msub></ec:mrow></ec:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20161,"journal":{"name":"Physical Review X","volume":"42 1","pages":""},"PeriodicalIF":11.6000,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Single-Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin-Ice Candidate Ce2Zr2O7 : No Apparent Octupolar Correlations Above T=0.05 K\",\"authors\":\"E. M. Smith, R. Schäfer, J. Dudemaine, B. Placke, B. Yuan, Z. Morgan, F. Ye, R. Moessner, O. Benton, A. D. Bianchi, B. D. Gaulin\",\"doi\":\"10.1103/physrevx.15.021033\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The insulating magnetic pyrochlore Ce</a:mi></a:mrow>2</a:mn></a:mrow></a:msub></a:mrow>Zr</a:mi></a:mrow>2</a:mn></a:mrow></a:msub>O</a:mi></a:mrow>7</a:mn></a:mrow></a:msub></a:mrow></a:math> has gained attention as a quantum spin-ice candidate with dipole-octupole character that arises from the crystal-electric-field ground-state doublet for the <d:math xmlns:d=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><d:mrow><d:msup><d:mrow><d:mi>Ce</d:mi></d:mrow><d:mrow><d:mn>3</d:mn><d:mo>+</d:mo></d:mrow></d:msup></d:mrow></d:math> Kramers ion. This dipole-octupole character permits both spin-ice phases based on magnetic dipoles and those based on more-exotic octupoles. This work reports low-temperature neutron diffraction measurements on single-crystal <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:mrow><f:mrow><f:msub><f:mrow><f:mi>Ce</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub></f:mrow><f:msub><f:mrow><f:mi>Zr</f:mi></f:mrow><f:mrow><f:mn>2</f:mn></f:mrow></f:msub><f:msub><f:mrow><f:mi mathvariant=\\\"normal\\\">O</f:mi></f:mrow><f:mrow><f:mn>7</f:mn></f:mrow></f:msub></f:mrow></f:math> with <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:mi>Q</i:mi></i:math> coverage both at low <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>Q</k:mi></k:math>, where the magnetic form factor for dipoles is near maximal, and at high <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:mi>Q</m:mi></m:math>, covering the region where the magnetic form factor for <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mrow><o:msup><o:mrow><o:mi>Ce</o:mi></o:mrow><o:mrow><o:mn>3</o:mn><o:mo>+</o:mo></o:mrow></o:msup></o:mrow></o:math> octupoles is near maximal. This study was motivated by recent powder neutron diffraction studies of other Ce-based dipole-octupole pyrochlores, <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:mrow><q:mrow><q:msub><q:mrow><q:mi>Ce</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub></q:mrow><q:msub><q:mrow><q:mi>Sn</q:mi></q:mrow><q:mrow><q:mn>2</q:mn></q:mrow></q:msub><q:msub><q:mrow><q:mi mathvariant=\\\"normal\\\">O</q:mi></q:mrow><q:mrow><q:mn>7</q:mn></q:mrow></q:msub></q:mrow></q:math> and <t:math xmlns:t=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><t:mrow><t:mrow><t:msub><t:mrow><t:mi>Ce</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub></t:mrow><t:msub><t:mrow><t:mi>Hf</t:mi></t:mrow><t:mrow><t:mn>2</t:mn></t:mrow></t:msub><t:msub><t:mrow><t:mi mathvariant=\\\"normal\\\">O</t:mi></t:mrow><t:mrow><t:mn>7</t:mn></t:mrow></t:msub></t:mrow></t:math>, which each showed temperature-dependent diffuse diffraction at high <w:math xmlns:w=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><w:mi>Q</w:mi></w:math>, interpreted as arising from octupolar correlations. Our measurements use an optimized single-crystal diffuse scattering instrument that allows us to screen against strong Bragg scattering from <y:math xmlns:y=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><y:mrow><y:mrow><y:msub><y:mrow><y:mi>Ce</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub></y:mrow><y:msub><y:mrow><y:mi>Zr</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi mathvariant=\\\"normal\\\">O</y:mi></y:mrow><y:mrow><y:mn>7</y:mn></y:mrow></y:msub></y:mrow></y:math>. The temperature-difference neutron diffraction reveals a low-<bb:math xmlns:bb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><bb:mi>Q</bb:mi></bb:math> peak consistent with dipolar spin-ice correlations reported in previous work, and an alternation between positive and negative net intensity at higher <db:math xmlns:db=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><db:mi>Q</db:mi></db:math>. These features are consistent with our numerical-linked-cluster calculations using pseudospin interaction parameters previously reported for <fb:math xmlns:fb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><fb:mrow><fb:mrow><fb:msub><fb:mrow><fb:mi>Ce</fb:mi></fb:mrow><fb:mrow><fb:mn>2</fb:mn></fb:mrow></fb:msub></fb:mrow><fb:msub><fb:mrow><fb:mi>Zr</fb:mi></fb:mrow><fb:mrow><fb:mn>2</fb:mn></fb:mrow></fb:msub><fb:msub><fb:mrow><fb:mi mathvariant=\\\"normal\\\">O</fb:mi></fb:mrow><fb:mrow><fb:mn>7</fb:mn></fb:mrow></fb:msub></fb:mrow></fb:math>, <ib:math xmlns:ib=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ib:mrow><ib:msub><ib:mrow><ib:mi>Ce</ib:mi></ib:mrow><ib:mrow><ib:mn>2</ib:mn></ib:mrow></ib:msub></ib:mrow><ib:msub><ib:mi>Sn</ib:mi><ib:mn>2</ib:mn></ib:msub><ib:msub><ib:mi mathvariant=\\\"normal\\\">O</ib:mi><ib:mn>7</ib:mn></ib:msub></ib:math>, and <lb:math xmlns:lb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><lb:mrow><lb:msub><lb:mrow><lb:mi>Ce</lb:mi></lb:mrow><lb:mrow><lb:mn>2</lb:mn></lb:mrow></lb:msub></lb:mrow><lb:msub><lb:mi>Hf</lb:mi><lb:mn>2</lb:mn></lb:msub><lb:msub><lb:mi mathvariant=\\\"normal\\\">O</lb:mi><lb:mn>7</lb:mn></lb:msub></lb:math>. Importantly, neither the measured data nor any of the NLC calculations show evidence for increased scattering at high <ob:math xmlns:ob=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ob:mi>Q</ob:mi></ob:math> resulting from octupolar correlations. We conclude that at the lowest attainable temperature for our measurements (<qb:math xmlns:qb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><qb:mi>T</qb:mi><qb:mo>=</qb:mo><qb:mn>0.05</qb:mn><qb:mtext> </qb:mtext><qb:mtext> </qb:mtext><qb:mi mathvariant=\\\"normal\\\">K</qb:mi></qb:math>), scattering from octupolar correlations in <tb:math xmlns:tb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><tb:mrow><tb:msub><tb:mrow><tb:mi>Ce</tb:mi></tb:mrow><tb:mrow><tb:mn>2</tb:mn></tb:mrow></tb:msub></tb:mrow><tb:msub><tb:mi>Zr</tb:mi><tb:mn>2</tb:mn></tb:msub><tb:msub><tb:mi mathvariant=\\\"normal\\\">O</tb:mi><tb:mn>7</tb:mn></tb:msub></tb:math> is not present in the neutron diffraction signal on the level of our observation threshold of around 0.1% of the low-<wb:math xmlns:wb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><wb:mi>Q</wb:mi></wb:math> dipole scattering. We compare these results to those obtained earlier on powder <yb:math xmlns:yb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><yb:mrow><yb:msub><yb:mrow><yb:mi>Ce</yb:mi></yb:mrow><yb:mrow><yb:mn>2</yb:mn></yb:mrow></yb:msub></yb:mrow><yb:msub><yb:mi>Sn</yb:mi><yb:mn>2</yb:mn></yb:msub><yb:msub><yb:mi mathvariant=\\\"normal\\\">O</yb:mi><yb:mn>7</yb:mn></yb:msub></yb:math> and <bc:math xmlns:bc=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><bc:mrow><bc:msub><bc:mrow><bc:mi>Ce</bc:mi></bc:mrow><bc:mrow><bc:mn>2</bc:mn></bc:mrow></bc:msub></bc:mrow><bc:msub><bc:mi>Hf</bc:mi><bc:mn>2</bc:mn></bc:msub><bc:msub><bc:mi mathvariant=\\\"normal\\\">O</bc:mi><bc:mn>7</bc:mn></bc:msub></bc:math>, and to low-energy inelastic neutron scattering from single-crystal <ec:math xmlns:ec=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><ec:mrow><ec:mrow><ec:msub><ec:mrow><ec:mi>Ce</ec:mi></ec:mrow><ec:mrow><ec:mn>2</ec:mn></ec:mrow></ec:msub></ec:mrow><ec:msub><ec:mrow><ec:mi>Zr</ec:mi></ec:mrow><ec:mrow><ec:mn>2</ec:mn></ec:mrow></ec:msub><ec:msub><ec:mrow><ec:mi mathvariant=\\\"normal\\\">O</ec:mi></ec:mrow><ec:mrow><ec:mn>7</ec:mn></ec:mrow></ec:msub></ec:mrow></ec:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20161,\"journal\":{\"name\":\"Physical Review X\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":11.6000,\"publicationDate\":\"2025-04-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review X\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevx.15.021033\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review X","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevx.15.021033","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

绝缘磁性焦绿石Ce2Zr2O7作为一种具有偶极子-八极子特征的量子自旋冰候选物受到了人们的关注,该特性是由Ce3+克莱默斯离子的晶体-电场基态偶极子产生的。这种偶极-八极子特性允许基于磁偶极子的自旋冰相和基于更奇特的八极子的自旋冰相。本文报道了低温中子衍射测量单晶Ce2Zr2O7的Q覆盖,在低Q处,偶极子的磁性形状因子接近最大值,在高Q处,覆盖Ce3+八极子的磁性形状因子接近最大值的区域。本研究的动机是最近对其他基于ce的偶极-八极焦绿石Ce2Sn2O7和Ce2Hf2O7的粉末中子衍射研究,它们在高Q处都表现出温度依赖的漫射衍射,被解释为由八极相关引起。我们的测量使用了一个优化的单晶漫射散射仪器,使我们能够屏蔽来自Ce2Zr2O7的强布拉格散射。温差中子衍射显示低q峰与先前报道的偶极自旋-冰相关一致,高q处净强度正负交替,这些特征与我们使用先前报道的Ce2Zr2O7、Ce2Sn2O7和Ce2Hf2O7的赝自旋相互作用参数进行的数值连接簇计算一致。重要的是,无论是测量数据还是任何NLC计算都没有显示出八极相关导致高Q散射增加的证据。我们的结论是,在我们测量的最低温度下(T=0.05 K), Ce2Zr2O7中八极相关的散射在我们的观测阈值约为低q偶极散射的0.1%的水平上不存在于中子衍射信号中。我们将这些结果与之前在Ce2Sn2O7和Ce2Hf2O7粉末上得到的结果以及单晶Ce2Zr2O7低能非弹性中子散射的结果进行了比较。2025年由美国物理学会出版
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Single-Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin-Ice Candidate Ce2Zr2O7 : No Apparent Octupolar Correlations Above T=0.05 K
The insulating magnetic pyrochlore Ce2Zr2O7 has gained attention as a quantum spin-ice candidate with dipole-octupole character that arises from the crystal-electric-field ground-state doublet for the Ce3+ Kramers ion. This dipole-octupole character permits both spin-ice phases based on magnetic dipoles and those based on more-exotic octupoles. This work reports low-temperature neutron diffraction measurements on single-crystal Ce2Zr2O7 with Q coverage both at low Q, where the magnetic form factor for dipoles is near maximal, and at high Q, covering the region where the magnetic form factor for Ce3+ octupoles is near maximal. This study was motivated by recent powder neutron diffraction studies of other Ce-based dipole-octupole pyrochlores, Ce2Sn2O7 and Ce2Hf2O7, which each showed temperature-dependent diffuse diffraction at high Q, interpreted as arising from octupolar correlations. Our measurements use an optimized single-crystal diffuse scattering instrument that allows us to screen against strong Bragg scattering from Ce2Zr2O7. The temperature-difference neutron diffraction reveals a low-Q peak consistent with dipolar spin-ice correlations reported in previous work, and an alternation between positive and negative net intensity at higher Q. These features are consistent with our numerical-linked-cluster calculations using pseudospin interaction parameters previously reported for Ce2Zr2O7, Ce2Sn2O7, and Ce2Hf2O7. Importantly, neither the measured data nor any of the NLC calculations show evidence for increased scattering at high Q resulting from octupolar correlations. We conclude that at the lowest attainable temperature for our measurements (T=0.05 K), scattering from octupolar correlations in Ce2Zr2O7 is not present in the neutron diffraction signal on the level of our observation threshold of around 0.1% of the low-Q dipole scattering. We compare these results to those obtained earlier on powder Ce2Sn2O7 and Ce2Hf2O7, and to low-energy inelastic neutron scattering from single-crystal Ce2Zr2O7. Published by the American Physical Society 2025
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来源期刊
Physical Review X
Physical Review X PHYSICS, MULTIDISCIPLINARY-
CiteScore
24.60
自引率
1.60%
发文量
197
审稿时长
3 months
期刊介绍: Physical Review X (PRX) stands as an exclusively online, fully open-access journal, emphasizing innovation, quality, and enduring impact in the scientific content it disseminates. Devoted to showcasing a curated selection of papers from pure, applied, and interdisciplinary physics, PRX aims to feature work with the potential to shape current and future research while leaving a lasting and profound impact in their respective fields. Encompassing the entire spectrum of physics subject areas, PRX places a special focus on groundbreaking interdisciplinary research with broad-reaching influence.
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