铜超导体中的非常规相干峰

IF 11.6 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical Review X Pub Date : 2024-12-31 DOI:10.1103/physrevx.14.041072
Zheng Li, Chao Mu, Pengfei Li, Wei Wu, Jiangping Hu, Tao Xiang, Kun Jiang, Jianlin Luo
{"title":"铜超导体中的非常规相干峰","authors":"Zheng Li, Chao Mu, Pengfei Li, Wei Wu, Jiangping Hu, Tao Xiang, Kun Jiang, Jianlin Luo","doi":"10.1103/physrevx.14.041072","DOIUrl":null,"url":null,"abstract":"The Hebel-Slichter coherence peak, observed in the spin-lattice relaxation rate 1</a:mn>/</a:mo>T</a:mi>1</a:mn></a:msub></a:math> just below the critical temperature <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:msub><c:mi>T</c:mi><c:mi mathvariant=\"normal\">c</c:mi></c:msub></c:math>, serves as a crucial experimental validation of the Bardeen-Cooper-Schrieffer pairing symmetry in conventional superconductors. However, no coherence peak in <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mn>1</f:mn><f:mo>/</f:mo><f:msub><f:mi>T</f:mi><f:mn>1</f:mn></f:msub></f:math> has been observed in unconventional superconductors like cuprates. In this study, an unconventional coherence peak is identified for the first time using nuclear quadrupole resonance on <h:math xmlns:h=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><h:mrow><h:msub><h:mrow><h:mi>YBa</h:mi></h:mrow><h:mrow><h:mn>2</h:mn></h:mrow></h:msub><h:msub><h:mrow><h:mi>Cu</h:mi></h:mrow><h:mrow><h:mn>4</h:mn></h:mrow></h:msub><h:msub><h:mrow><h:mi mathvariant=\"normal\">O</h:mi></h:mrow><h:mrow><h:mn>8</h:mn></h:mrow></h:msub></h:mrow></h:math>, pointing to a distinctive pairing symmetry. The spin-lattice relaxation rate in nuclear quadrupole resonance and nuclear magnetic resonance with nuclear spin <k:math xmlns:k=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><k:mi>I</k:mi><k:mo>&gt;</k:mo><k:mn>1</k:mn><k:mo>/</k:mo><k:mn>2</k:mn></k:math> comprises the magnetic relaxation rate <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><m:mn>1</m:mn><m:mo>/</m:mo><m:msubsup><m:mi>T</m:mi><m:mn>1</m:mn><m:mi>mag</m:mi></m:msubsup></m:math>, which probes magnetic fluctuations, and the quadrupole relaxation rate <o:math xmlns:o=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><o:mn>1</o:mn><o:mo>/</o:mo><o:msubsup><o:mi>T</o:mi><o:mn>1</o:mn><o:mrow><o:mi>quad</o:mi></o:mrow></o:msubsup></o:math>, which probes charge fluctuations. By utilizing <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:mrow><q:mmultiscripts><q:mrow><q:mi>Cu</q:mi></q:mrow><q:mprescripts/><q:none/><q:mrow><q:mn>63</q:mn></q:mrow></q:mmultiscripts></q:mrow></q:math> and <s:math xmlns:s=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><s:mrow><s:mmultiscripts><s:mrow><s:mi>Cu</s:mi></s:mrow><s:mprescripts/><s:none/><s:mrow><s:mn>65</s:mn></s:mrow></s:mmultiscripts></s:mrow></s:math> isotopes, we successfully distinguish <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mn>1</u:mn><u:mo>/</u:mo><u:msubsup><u:mi>T</u:mi><u:mn>1</u:mn><u:mi>mag</u:mi></u:msubsup></u:math> and <w:math xmlns:w=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><w:mn>1</w:mn><w:mo>/</w:mo><w:msubsup><w:mi>T</w:mi><w:mn>1</w:mn><w:mrow><w:mi>quad</w:mi></w:mrow></w:msubsup></w:math> of <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:mrow><y:msub><y:mrow><y:mi>YBa</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi>Cu</y:mi></y:mrow><y:mrow><y:mn>4</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi mathvariant=\"normal\">O</y:mi></y:mrow><y:mrow><y:mn>8</y:mn></y:mrow></y:msub></y:mrow></y:math> and reveal the presence of the coherence peak in <bb:math xmlns:bb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><bb:mn>1</bb:mn><bb:mo>/</bb:mo><bb:msubsup><bb:mi>T</bb:mi><bb:mn>1</bb:mn><bb:mrow><bb:mi>quad</bb:mi></bb:mrow></bb:msubsup></bb:math> but not in <db:math xmlns:db=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><db:mn>1</db:mn><db:mo>/</db:mo><db:msubsup><db:mi>T</db:mi><db:mn>1</db:mn><db:mi>mag</db:mi></db:msubsup></db:math>, in contrast to conventional superconductors. Our finding demonstrates that unconventional superconductors do not exhibit a coherence peak in <fb:math xmlns:fb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><fb:mn>1</fb:mn><fb:mo>/</fb:mo><fb:msub><fb:mi>T</fb:mi><fb:mn>1</fb:mn></fb:msub></fb:math> when the relaxation is due to fluctuations of the hyperfine field. Conversely, a coherence peak is expected when the relaxation is caused by electric field gradient fluctuations, due to the different coherence factors between charge and magnetic fluctuations. Our successful measurements of <hb:math xmlns:hb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><hb:mrow><hb:mn>1</hb:mn><hb:mo>/</hb:mo><hb:msub><hb:mrow><hb:mi>T</hb:mi></hb:mrow><hb:mrow><hb:mn>1</hb:mn></hb:mrow></hb:msub></hb:mrow></hb:math> for the chains of <jb:math xmlns:jb=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><jb:mrow><jb:msub><jb:mrow><jb:mi>YBa</jb:mi></jb:mrow><jb:mrow><jb:mn>2</jb:mn></jb:mrow></jb:msub><jb:msub><jb:mrow><jb:mi>Cu</jb:mi></jb:mrow><jb:mrow><jb:mn>4</jb:mn></jb:mrow></jb:msub><jb:msub><jb:mrow><jb:mi mathvariant=\"normal\">O</jb:mi></jb:mrow><jb:mrow><jb:mn>8</jb:mn></jb:mrow></jb:msub></jb:mrow></jb:math> suggest that, should the conditions for predominant quadrupole relaxation be satisfied, this phenomenon could provide a novel approach to exploring the unconventional nature of the pairing mechanism in other superconductors. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2024</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20161,"journal":{"name":"Physical Review X","volume":"26 1","pages":""},"PeriodicalIF":11.6000,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Unconventional Coherence Peak in Cuprate Superconductors\",\"authors\":\"Zheng Li, Chao Mu, Pengfei Li, Wei Wu, Jiangping Hu, Tao Xiang, Kun Jiang, Jianlin Luo\",\"doi\":\"10.1103/physrevx.14.041072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Hebel-Slichter coherence peak, observed in the spin-lattice relaxation rate 1</a:mn>/</a:mo>T</a:mi>1</a:mn></a:msub></a:math> just below the critical temperature <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:msub><c:mi>T</c:mi><c:mi mathvariant=\\\"normal\\\">c</c:mi></c:msub></c:math>, serves as a crucial experimental validation of the Bardeen-Cooper-Schrieffer pairing symmetry in conventional superconductors. However, no coherence peak in <f:math xmlns:f=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><f:mn>1</f:mn><f:mo>/</f:mo><f:msub><f:mi>T</f:mi><f:mn>1</f:mn></f:msub></f:math> has been observed in unconventional superconductors like cuprates. In this study, an unconventional coherence peak is identified for the first time using nuclear quadrupole resonance on <h:math xmlns:h=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><h:mrow><h:msub><h:mrow><h:mi>YBa</h:mi></h:mrow><h:mrow><h:mn>2</h:mn></h:mrow></h:msub><h:msub><h:mrow><h:mi>Cu</h:mi></h:mrow><h:mrow><h:mn>4</h:mn></h:mrow></h:msub><h:msub><h:mrow><h:mi mathvariant=\\\"normal\\\">O</h:mi></h:mrow><h:mrow><h:mn>8</h:mn></h:mrow></h:msub></h:mrow></h:math>, pointing to a distinctive pairing symmetry. The spin-lattice relaxation rate in nuclear quadrupole resonance and nuclear magnetic resonance with nuclear spin <k:math xmlns:k=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><k:mi>I</k:mi><k:mo>&gt;</k:mo><k:mn>1</k:mn><k:mo>/</k:mo><k:mn>2</k:mn></k:math> comprises the magnetic relaxation rate <m:math xmlns:m=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><m:mn>1</m:mn><m:mo>/</m:mo><m:msubsup><m:mi>T</m:mi><m:mn>1</m:mn><m:mi>mag</m:mi></m:msubsup></m:math>, which probes magnetic fluctuations, and the quadrupole relaxation rate <o:math xmlns:o=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><o:mn>1</o:mn><o:mo>/</o:mo><o:msubsup><o:mi>T</o:mi><o:mn>1</o:mn><o:mrow><o:mi>quad</o:mi></o:mrow></o:msubsup></o:math>, which probes charge fluctuations. By utilizing <q:math xmlns:q=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><q:mrow><q:mmultiscripts><q:mrow><q:mi>Cu</q:mi></q:mrow><q:mprescripts/><q:none/><q:mrow><q:mn>63</q:mn></q:mrow></q:mmultiscripts></q:mrow></q:math> and <s:math xmlns:s=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><s:mrow><s:mmultiscripts><s:mrow><s:mi>Cu</s:mi></s:mrow><s:mprescripts/><s:none/><s:mrow><s:mn>65</s:mn></s:mrow></s:mmultiscripts></s:mrow></s:math> isotopes, we successfully distinguish <u:math xmlns:u=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><u:mn>1</u:mn><u:mo>/</u:mo><u:msubsup><u:mi>T</u:mi><u:mn>1</u:mn><u:mi>mag</u:mi></u:msubsup></u:math> and <w:math xmlns:w=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><w:mn>1</w:mn><w:mo>/</w:mo><w:msubsup><w:mi>T</w:mi><w:mn>1</w:mn><w:mrow><w:mi>quad</w:mi></w:mrow></w:msubsup></w:math> of <y:math xmlns:y=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><y:mrow><y:msub><y:mrow><y:mi>YBa</y:mi></y:mrow><y:mrow><y:mn>2</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi>Cu</y:mi></y:mrow><y:mrow><y:mn>4</y:mn></y:mrow></y:msub><y:msub><y:mrow><y:mi mathvariant=\\\"normal\\\">O</y:mi></y:mrow><y:mrow><y:mn>8</y:mn></y:mrow></y:msub></y:mrow></y:math> and reveal the presence of the coherence peak in <bb:math xmlns:bb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><bb:mn>1</bb:mn><bb:mo>/</bb:mo><bb:msubsup><bb:mi>T</bb:mi><bb:mn>1</bb:mn><bb:mrow><bb:mi>quad</bb:mi></bb:mrow></bb:msubsup></bb:math> but not in <db:math xmlns:db=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><db:mn>1</db:mn><db:mo>/</db:mo><db:msubsup><db:mi>T</db:mi><db:mn>1</db:mn><db:mi>mag</db:mi></db:msubsup></db:math>, in contrast to conventional superconductors. Our finding demonstrates that unconventional superconductors do not exhibit a coherence peak in <fb:math xmlns:fb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><fb:mn>1</fb:mn><fb:mo>/</fb:mo><fb:msub><fb:mi>T</fb:mi><fb:mn>1</fb:mn></fb:msub></fb:math> when the relaxation is due to fluctuations of the hyperfine field. Conversely, a coherence peak is expected when the relaxation is caused by electric field gradient fluctuations, due to the different coherence factors between charge and magnetic fluctuations. Our successful measurements of <hb:math xmlns:hb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><hb:mrow><hb:mn>1</hb:mn><hb:mo>/</hb:mo><hb:msub><hb:mrow><hb:mi>T</hb:mi></hb:mrow><hb:mrow><hb:mn>1</hb:mn></hb:mrow></hb:msub></hb:mrow></hb:math> for the chains of <jb:math xmlns:jb=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><jb:mrow><jb:msub><jb:mrow><jb:mi>YBa</jb:mi></jb:mrow><jb:mrow><jb:mn>2</jb:mn></jb:mrow></jb:msub><jb:msub><jb:mrow><jb:mi>Cu</jb:mi></jb:mrow><jb:mrow><jb:mn>4</jb:mn></jb:mrow></jb:msub><jb:msub><jb:mrow><jb:mi mathvariant=\\\"normal\\\">O</jb:mi></jb:mrow><jb:mrow><jb:mn>8</jb:mn></jb:mrow></jb:msub></jb:mrow></jb:math> suggest that, should the conditions for predominant quadrupole relaxation be satisfied, this phenomenon could provide a novel approach to exploring the unconventional nature of the pairing mechanism in other superconductors. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2024</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20161,\"journal\":{\"name\":\"Physical Review X\",\"volume\":\"26 1\",\"pages\":\"\"},\"PeriodicalIF\":11.6000,\"publicationDate\":\"2024-12-31\",\"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.14.041072\",\"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.14.041072","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

在低于临界温度Tc的自旋-晶格弛豫速率1/T1处观察到Hebel-Slichter相干峰,这是常规超导体中Bardeen-Cooper-Schrieffer配对对称性的重要实验验证。然而,在铜等非常规超导体中,没有观察到1/T1的相干峰。在这项研究中,利用核四极共振首次在YBa2Cu4O8上发现了一个非常规的相干峰,指出了一个独特的配对对称性。核四极共振和核自旋为1 >;1/2的核磁共振中的自旋-晶格弛豫率包括探测磁波动的磁弛豫率1/T1mag和探测电荷波动的四极弛豫率1/T1quad。利用Cu63和Cu65同位素,我们成功地区分了YBa2Cu4O8的1/T1mag和1/T1quad,并发现与传统超导体不同,在1/T1quad中存在相干峰,而在1/T1mag中不存在相干峰。我们的发现表明,当弛豫是由超细场的波动引起时,非常规超导体在1/T1下不会出现相干峰。相反,当电场梯度波动引起弛豫时,由于电荷和磁波动之间的相干因子不同,预计会出现相干峰。我们对YBa2Cu4O8链的1/T1的成功测量表明,如果满足主导四极弛豫的条件,这一现象可以为探索其他超导体中配对机制的非常规性质提供一种新的方法。2024年由美国物理学会出版
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Unconventional Coherence Peak in Cuprate Superconductors
The Hebel-Slichter coherence peak, observed in the spin-lattice relaxation rate 1/T1 just below the critical temperature Tc, serves as a crucial experimental validation of the Bardeen-Cooper-Schrieffer pairing symmetry in conventional superconductors. However, no coherence peak in 1/T1 has been observed in unconventional superconductors like cuprates. In this study, an unconventional coherence peak is identified for the first time using nuclear quadrupole resonance on YBa2Cu4O8, pointing to a distinctive pairing symmetry. The spin-lattice relaxation rate in nuclear quadrupole resonance and nuclear magnetic resonance with nuclear spin I>1/2 comprises the magnetic relaxation rate 1/T1mag, which probes magnetic fluctuations, and the quadrupole relaxation rate 1/T1quad, which probes charge fluctuations. By utilizing Cu63 and Cu65 isotopes, we successfully distinguish 1/T1mag and 1/T1quad of YBa2Cu4O8 and reveal the presence of the coherence peak in 1/T1quad but not in 1/T1mag, in contrast to conventional superconductors. Our finding demonstrates that unconventional superconductors do not exhibit a coherence peak in 1/T1 when the relaxation is due to fluctuations of the hyperfine field. Conversely, a coherence peak is expected when the relaxation is caused by electric field gradient fluctuations, due to the different coherence factors between charge and magnetic fluctuations. Our successful measurements of 1/T1 for the chains of YBa2Cu4O8 suggest that, should the conditions for predominant quadrupole relaxation be satisfied, this phenomenon could provide a novel approach to exploring the unconventional nature of the pairing mechanism in other superconductors. Published by the American Physical Society 2024
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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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