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}
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=0.05K), 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 Society2025
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.