具有对称密度跳变的哈伯德链相图

IF 4.4 2区 物理与天体物理 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
{"title":"具有对称密度跳变的哈伯德链相图","authors":"","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>&gt;</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>&lt;</mo><mn>0</mn></mrow></math></span>) induce the dimerized and metallic phases, respectively.</div></div>","PeriodicalId":21042,"journal":{"name":"Results in Physics","volume":null,"pages":null},"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\":\"\",\"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>&gt;</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>&lt;</mo><mn>0</mn></mrow></math></span>) induce the dimerized and metallic phases, respectively.</div></div>\",\"PeriodicalId\":21042,\"journal\":{\"name\":\"Results in Physics\",\"volume\":null,\"pages\":null},\"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}
引用次数: 0

摘要

通过玻色子化和重正化群方案,研究了在弱耦合下具有密度依赖性跳变的半填充哈伯德链。该模型具有电子-空穴对称性和 SO(4) 对称性。相图由三个不同的相组成,分别是现场斥力 U=Uc 时的电荷转换和 U=Us 时的自旋转换(Us=-Uc=16π(tc-1)),包括具有 SDW 相关性的莫特绝缘体、具有 BCDW 相关性的二聚绝缘体和具有共存 TS 和 BSDW 相关性的卢廷格金属。有效的三体斥力(tc-1>0)和吸引力(tc-1<0)分别诱导出二聚体和金属相。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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 U=Uc and a spin transition at U=Us, with Us=Uc=16π(tc1), 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 (tc1>0) and attraction (tc1<0) induce the dimerized and metallic phases, respectively.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Results in Physics
Results in Physics MATERIALS 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: Results in Physics is an open access journal offering authors the opportunity to publish in all fundamental and interdisciplinary areas of physics, materials science, and applied physics. Papers of a theoretical, computational, and experimental nature are all welcome. Results in Physics accepts papers that are scientifically sound, technically correct and provide valuable new knowledge to the physics community. Topics such as three-dimensional flow and magnetohydrodynamics are not within the scope of Results in Physics. Results in Physics welcomes three types of papers: 1. Full research papers 2. Microarticles: very short papers, no longer than two pages. They may consist of a single, but well-described piece of information, such as: - Data and/or a plot plus a description - Description of a new method or instrumentation - Negative results - Concept or design study 3. Letters to the Editor: Letters discussing a recent article published in Results in Physics are welcome. These are objective, constructive, or educational critiques of papers published in Results in Physics. Accepted letters will be sent to the author of the original paper for a response. Each letter and response is published together. Letters should be received within 8 weeks of the article''s publication. They should not exceed 750 words of text and 10 references.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信