具有二次带交叉点的二维半金属中自旋电子-电子相互作用诱发的有利相变

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
{"title":"具有二次带交叉点的二维半金属中自旋电子-电子相互作用诱发的有利相变","authors":"","doi":"10.1016/j.aop.2024.169811","DOIUrl":null,"url":null,"abstract":"<div><div>We study the effects of marginally spinful electron–electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-<span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> semimetal that owns a quadratic band crossing point (QBCP) parabolically touched by the upper and lower bands. In the framework of a renormalization group procedure, all sorts of interactions are treated on the equal footing to derive the coupled energy-dependent evolutions of all interaction couplings that govern the low-energy properties. Deciphering the essential physical information of such flows, we at first find that the tendencies of interaction parameters fall into three categories including Limit case, Special case, and General case based on the initial conditions. In addition, the 2D QBCP system is attracted to several distinct kinds of fixed points (FPs) in the interaction-parameter space, namely <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>−</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/ <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><mrow><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></mrow></math></span> with the subscripts characterizing the features of FPs for the Limit, Special, and General cases, respectively. Furthermore, as approaching these FPs, we demonstrate that the spinful fermion–fermion interactions can induce a number of favorable instabilities accompanied by certain phase transitions. Specifically, the quantum anomalous Hall (QAH), quantum spin Hall (QSH), and nematic (Nem.) site(bond) states are dominant for <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, respectively. Rather, QSH becomes anisotropic nearby <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span> with one component leading and the others subleading. Besides, Nem.site(bond), chiral superconductivity, and nematic-spin-nematic (NSN.) site(bond) are subleading candidates around these FPs. Our findings provide valuable insights for further research into the 2D QBCP and similar systems.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":null,"pages":null},"PeriodicalIF":3.0000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Favorable phase transitions induced by spinful electron–electron interactions in two-dimensional semimetal with a quadratic band crossing point\",\"authors\":\"\",\"doi\":\"10.1016/j.aop.2024.169811\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We study the effects of marginally spinful electron–electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-<span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn></mrow></math></span> semimetal that owns a quadratic band crossing point (QBCP) parabolically touched by the upper and lower bands. In the framework of a renormalization group procedure, all sorts of interactions are treated on the equal footing to derive the coupled energy-dependent evolutions of all interaction couplings that govern the low-energy properties. Deciphering the essential physical information of such flows, we at first find that the tendencies of interaction parameters fall into three categories including Limit case, Special case, and General case based on the initial conditions. In addition, the 2D QBCP system is attracted to several distinct kinds of fixed points (FPs) in the interaction-parameter space, namely <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>−</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/ <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>/<span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><mrow><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup><mo>/</mo><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></mrow></math></span> with the subscripts characterizing the features of FPs for the Limit, Special, and General cases, respectively. Furthermore, as approaching these FPs, we demonstrate that the spinful fermion–fermion interactions can induce a number of favorable instabilities accompanied by certain phase transitions. Specifically, the quantum anomalous Hall (QAH), quantum spin Hall (QSH), and nematic (Nem.) site(bond) states are dominant for <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>1</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>2</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, and <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span>, respectively. Rather, QSH becomes anisotropic nearby <span><math><msubsup><mrow><mi>FP</mi></mrow><mrow><mn>41</mn><mo>,</mo><mn>42</mn><mo>,</mo><mn>43</mn></mrow><mrow><mo>±</mo></mrow></msubsup></math></span> with one component leading and the others subleading. Besides, Nem.site(bond), chiral superconductivity, and nematic-spin-nematic (NSN.) site(bond) are subleading candidates around these FPs. Our findings provide valuable insights for further research into the 2D QBCP and similar systems.</div></div>\",\"PeriodicalId\":8249,\"journal\":{\"name\":\"Annals of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.0000,\"publicationDate\":\"2024-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0003491624002185\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0003491624002185","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

我们研究了边缘自旋电子-电子相互作用对二维(2D)自旋-1/2 半金属的低能不稳定性和有利相变的影响,这种半金属拥有一个二次带交叉点(QBCP),上下带呈抛物线接触。在重正化群程序的框架内,各种相互作用被同等对待,从而推导出支配低能特性的所有相互作用耦合的耦合能量依赖性演化。在解读这种流动的基本物理信息时,我们首先发现相互作用参数的趋向分为三类,包括基于初始条件的极限情况、特殊情况和一般情况。此外,二维 QBCP 系统在相互作用参数空间中会被吸引到几种不同的固定点(FPs),即 FP1+/FP2-、FP1±/ FP2±/FP3± 和 FP1±/FP3±/FP41,42,43±,下标分别表示极限情况、特殊情况和一般情况下的固定点特征。此外,在接近这些 FPs 时,我们证明了自旋费米子-费米子相互作用会诱发一系列有利的不稳定性,并伴随着某些相变。具体来说,量子反常霍尔(QAH)、量子自旋霍尔(QSH)和向列(Nemmatic)位(键)态分别在 FP1±、FP2± 和 FP3± 中占主导地位。相反,QSH 在 FP41,42,43± 附近变得各向异性,其中一个分量领先,其他分量次之。此外,Nem.site(bond)、手性超导和向列-自旋-向列(NSN.)site(bond)是这些 FP 附近的次主导候选成分。我们的发现为进一步研究二维 QBCP 及类似系统提供了宝贵的见解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Favorable phase transitions induced by spinful electron–electron interactions in two-dimensional semimetal with a quadratic band crossing point
We study the effects of marginally spinful electron–electron interactions on the low-energy instabilities and favorable phase transitions in a two-dimensional (2D) spin-1/2 semimetal that owns a quadratic band crossing point (QBCP) parabolically touched by the upper and lower bands. In the framework of a renormalization group procedure, all sorts of interactions are treated on the equal footing to derive the coupled energy-dependent evolutions of all interaction couplings that govern the low-energy properties. Deciphering the essential physical information of such flows, we at first find that the tendencies of interaction parameters fall into three categories including Limit case, Special case, and General case based on the initial conditions. In addition, the 2D QBCP system is attracted to several distinct kinds of fixed points (FPs) in the interaction-parameter space, namely FP1+/FP2, FP1±/ FP2±/FP3±, and FP1±/FP3±/FP41,42,43± with the subscripts characterizing the features of FPs for the Limit, Special, and General cases, respectively. Furthermore, as approaching these FPs, we demonstrate that the spinful fermion–fermion interactions can induce a number of favorable instabilities accompanied by certain phase transitions. Specifically, the quantum anomalous Hall (QAH), quantum spin Hall (QSH), and nematic (Nem.) site(bond) states are dominant for FP1±, FP2±, and FP3±, respectively. Rather, QSH becomes anisotropic nearby FP41,42,43± with one component leading and the others subleading. Besides, Nem.site(bond), chiral superconductivity, and nematic-spin-nematic (NSN.) site(bond) are subleading candidates around these FPs. Our findings provide valuable insights for further research into the 2D QBCP and similar systems.
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
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
×
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