Topological superfluid phases of attractive Fermi-Hubbard model in narrow-band cold-atom optical lattices

T. D. Stanescu, Sumanta Tewari, V. W. Scarola
{"title":"Topological superfluid phases of attractive Fermi-Hubbard model in narrow-band cold-atom optical lattices","authors":"T. D. Stanescu, Sumanta Tewari, V. W. Scarola","doi":"arxiv-2408.16210","DOIUrl":null,"url":null,"abstract":"We investigate the effects of attractive Hubbard interaction on two-component\nfermionic atoms in narrow two-dimensional (2D) energy bands that exhibit Rashba\nspin-orbit coupling (SOC) in the presence of an applied Zeeman field. This\nnarrow-band 2D spin-orbit coupled attractive Fermi-Hubbard model can\npotentially be realized in cold atom systems in optical lattices with\nartificially engineered Rashba SOC and Zeeman field. Employing a\nself-consistent mean field approximation for the pairing potential, we uncover\na complex phase diagram featuring various topological superfluid (TS) phases,\ndependent on the chemical potential and the Zeeman field. We focus on the\npairing potential and the corresponding quasiparticle gap characterizing the TS\nphases, which are notably small for a wide-band model with quadratic dispersion\nnear the $\\Gamma$-point, as found in earlier work, and we identify the\nparameter regimes that maximize the gap. We find that, while generally the\nvalue of the pairing potential increases with the reduction of the fermionic\nbandwidth, as expected for narrow- or flat-band systems, the magnitude of the\ntopological gap characterizing the TS phases reaches a maximum of about\n$10-12.5\\%$ of the interaction strength at finite values of the hopping\namplitude, Rashba coupling, and Zeeman field.","PeriodicalId":501521,"journal":{"name":"arXiv - PHYS - Quantum Gases","volume":"3 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Quantum Gases","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.16210","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

Abstract

We investigate the effects of attractive Hubbard interaction on two-component fermionic atoms in narrow two-dimensional (2D) energy bands that exhibit Rashba spin-orbit coupling (SOC) in the presence of an applied Zeeman field. This narrow-band 2D spin-orbit coupled attractive Fermi-Hubbard model can potentially be realized in cold atom systems in optical lattices with artificially engineered Rashba SOC and Zeeman field. Employing a self-consistent mean field approximation for the pairing potential, we uncover a complex phase diagram featuring various topological superfluid (TS) phases, dependent on the chemical potential and the Zeeman field. We focus on the pairing potential and the corresponding quasiparticle gap characterizing the TS phases, which are notably small for a wide-band model with quadratic dispersion near the $\Gamma$-point, as found in earlier work, and we identify the parameter regimes that maximize the gap. We find that, while generally the value of the pairing potential increases with the reduction of the fermionic bandwidth, as expected for narrow- or flat-band systems, the magnitude of the topological gap characterizing the TS phases reaches a maximum of about $10-12.5\%$ of the interaction strength at finite values of the hopping amplitude, Rashba coupling, and Zeeman field.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
窄带冷原子光晶格中具有吸引力的费米-哈伯德模型的拓扑超流体相
我们研究了有吸引力的哈伯德相互作用对在窄二维(2D)能带中的双组分费米子原子的影响,这些能带在外加泽曼场的作用下表现出拉什巴自旋轨道耦合(SOC)。这种窄带二维自旋轨道耦合吸引力费米-哈伯德模型有可能在具有人工设计的拉什巴 SOC 和泽曼场的光晶格冷原子系统中实现。利用配对势的自洽平均场近似,我们发现了一个复杂的相图,它具有各种拓扑超流体(TS)相,这些相取决于化学势和泽曼场。我们重点研究了配对势和相应的准粒子间隙,它们是 TS 相的特征,对于早期工作中发现的在$\Gamma$点附近具有二次色散的宽带模型来说,这些间隙明显很小。我们发现,正如窄带或平带系统所预期的那样,配对势的值一般会随着费米子带宽的减小而增大,而表征TS相的拓扑间隙的大小在跳频振幅、拉什巴耦合和泽曼场的有限值时达到了相互作用强度的约10-12.5%$的最大值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Boundary-localized many-body bound states in the continuum Correlations of the Current Density in Many-Body Landau Level States Measurement resolution enhanced coherence for lattice fermions Finite temperature stability of quantized vortex structures in rotating Bose-Einstein condensates via complex Langevin simulation Josephson effect and self-trapping in helicoidal spin-orbit coupled Bose-Einstein condensates with optical lattices
×
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
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 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 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1