{"title":"具有对称密度跳变的哈伯德链相图","authors":"Xin Sun , Weiting Chen , Hanqin Ding","doi":"10.1016/j.rinp.2024.107983","DOIUrl":null,"url":null,"abstract":"<div><div>By the bosonization and renormalization-group schemes, a half-filled Hubbard chain with density-dependent hopping is investigated at weak coupling. The model involved has an electron–hole symmetry and an SO(4) symmetry. The phase diagram consists of three different phases divided by a charge transition at on-site repulsion <span><math><mrow><mi>U</mi><mo>=</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> and a spin transition at <span><math><mrow><mi>U</mi><mo>=</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow></math></span>, with <span><math><mrow><msub><mrow><mi>U</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>=</mo><mo>−</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mfrac><mrow><mn>16</mn></mrow><mrow><mi>π</mi></mrow></mfrac><mrow><mo>(</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>, including a Mott insulator with the SDW correlation, a dimerized insulator with the BCDW correlation, and a Luttinger metal with the coexisting TS and BSDW correlations. The effective three-body repulsion (<span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo>></mo><mn>0</mn></mrow></math></span>) and attraction (<span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo><</mo><mn>0</mn></mrow></math></span>) induce the dimerized and metallic phases, respectively.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":"65 ","pages":"Article 107983"},"PeriodicalIF":4.4000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phase diagram of the Hubbard chain with symmetric density-dependent hopping\",\"authors\":\"Xin Sun , Weiting Chen , Hanqin Ding\",\"doi\":\"10.1016/j.rinp.2024.107983\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>By the bosonization and renormalization-group schemes, a half-filled Hubbard chain with density-dependent hopping is investigated at weak coupling. The model involved has an electron–hole symmetry and an SO(4) symmetry. The phase diagram consists of three different phases divided by a charge transition at on-site repulsion <span><math><mrow><mi>U</mi><mo>=</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> and a spin transition at <span><math><mrow><mi>U</mi><mo>=</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>s</mi></mrow></msub></mrow></math></span>, with <span><math><mrow><msub><mrow><mi>U</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>=</mo><mo>−</mo><msub><mrow><mi>U</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>=</mo><mfrac><mrow><mn>16</mn></mrow><mrow><mi>π</mi></mrow></mfrac><mrow><mo>(</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>, including a Mott insulator with the SDW correlation, a dimerized insulator with the BCDW correlation, and a Luttinger metal with the coexisting TS and BSDW correlations. The effective three-body repulsion (<span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo>></mo><mn>0</mn></mrow></math></span>) and attraction (<span><math><mrow><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>−</mo><mn>1</mn><mo><</mo><mn>0</mn></mrow></math></span>) induce the dimerized and metallic phases, respectively.</div></div>\",\"PeriodicalId\":21042,\"journal\":{\"name\":\"Results in Physics\",\"volume\":\"65 \",\"pages\":\"Article 107983\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2024-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Results in Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2211379724006685\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Results in Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211379724006685","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Phase diagram of the Hubbard chain with symmetric density-dependent hopping
By the bosonization and renormalization-group schemes, a half-filled Hubbard chain with density-dependent hopping is investigated at weak coupling. The model involved has an electron–hole symmetry and an SO(4) symmetry. The phase diagram consists of three different phases divided by a charge transition at on-site repulsion and a spin transition at , with , including a Mott insulator with the SDW correlation, a dimerized insulator with the BCDW correlation, and a Luttinger metal with the coexisting TS and BSDW correlations. The effective three-body repulsion () and attraction () induce the dimerized and metallic phases, respectively.
Results in PhysicsMATERIALS SCIENCE, MULTIDISCIPLINARYPHYSIC-PHYSICS, MULTIDISCIPLINARY
CiteScore
8.70
自引率
9.40%
发文量
754
审稿时长
50 days
期刊介绍:
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