Jonas Sonnenschein, Atanu Maity, Chunxiao Liu, Ronny Thomale, Francesco Ferrari, Yasir Iqbal
{"title":"枫叶晶格上的候选量子自旋液体","authors":"Jonas Sonnenschein, Atanu Maity, Chunxiao Liu, Ronny Thomale, Francesco Ferrari, Yasir Iqbal","doi":"10.1103/physrevb.110.014414","DOIUrl":null,"url":null,"abstract":"Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field <i>Ansätze</i> of fully symmetric U(1) and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"double-struck\">Z</mi><mn>2</mn></msub></math> quantum spin liquids within the framework of projective symmetry groups. We obtain a total of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>17</mn><mspace width=\"4pt\"></mspace><mtext>U</mtext><mo>(</mo><mn>1</mn><mo>)</mo></mrow></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>12</mn><mspace width=\"4pt\"></mspace><msub><mi mathvariant=\"double-struck\">Z</mi><mn>2</mn></msub></mrow></math> algebraic PSGs, and, upon restricting their realization via mean-field <i>Ansätze</i> with nearest-neighbor amplitudes (relevant to the studied models), only 12 U(1) and 8 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"double-struck\">Z</mi><mn>2</mn></msub></math> distinct phases are obtained. We present both singlet and triplet fields for all <i>Ansätze</i> up to third nearest-neighbor bonds and discuss their spinon dispersions as well as their dynamical spin structure factors. We further assess the effects of Gutzwiller projection on the equal-time spin structure factors.","PeriodicalId":20082,"journal":{"name":"Physical Review B","volume":null,"pages":null},"PeriodicalIF":3.7000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Candidate quantum spin liquids on the maple-leaf lattice\",\"authors\":\"Jonas Sonnenschein, Atanu Maity, Chunxiao Liu, Ronny Thomale, Francesco Ferrari, Yasir Iqbal\",\"doi\":\"10.1103/physrevb.110.014414\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin-<math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math> Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field <i>Ansätze</i> of fully symmetric U(1) and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi mathvariant=\\\"double-struck\\\">Z</mi><mn>2</mn></msub></math> quantum spin liquids within the framework of projective symmetry groups. We obtain a total of <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>17</mn><mspace width=\\\"4pt\\\"></mspace><mtext>U</mtext><mo>(</mo><mn>1</mn><mo>)</mo></mrow></math> and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>12</mn><mspace width=\\\"4pt\\\"></mspace><msub><mi mathvariant=\\\"double-struck\\\">Z</mi><mn>2</mn></msub></mrow></math> algebraic PSGs, and, upon restricting their realization via mean-field <i>Ansätze</i> with nearest-neighbor amplitudes (relevant to the studied models), only 12 U(1) and 8 <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><msub><mi mathvariant=\\\"double-struck\\\">Z</mi><mn>2</mn></msub></math> distinct phases are obtained. We present both singlet and triplet fields for all <i>Ansätze</i> up to third nearest-neighbor bonds and discuss their spinon dispersions as well as their dynamical spin structure factors. We further assess the effects of Gutzwiller projection on the equal-time spin structure factors.\",\"PeriodicalId\":20082,\"journal\":{\"name\":\"Physical Review B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.7000,\"publicationDate\":\"2024-07-10\",\"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.110.014414\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevb.110.014414","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}
Candidate quantum spin liquids on the maple-leaf lattice
Motivated by recent numerical studies reporting putative quantum paramagnetic behavior in spin- Heisenberg models on the maple-leaf lattice, we classify Abrikosov fermion mean-field Ansätze of fully symmetric U(1) and quantum spin liquids within the framework of projective symmetry groups. We obtain a total of and algebraic PSGs, and, upon restricting their realization via mean-field Ansätze with nearest-neighbor amplitudes (relevant to the studied models), only 12 U(1) and 8 distinct phases are obtained. We present both singlet and triplet fields for all Ansätze up to third nearest-neighbor bonds and discuss their spinon dispersions as well as their dynamical spin structure factors. We further assess the effects of Gutzwiller projection on the equal-time spin structure factors.
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.
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