Landau problem in dynamical noncommutative space

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-08-30 DOI:10.1016/j.aop.2024.169776
Ilyas Haouam , S. Ali Alavi
{"title":"Landau problem in dynamical noncommutative space","authors":"Ilyas Haouam ,&nbsp;S. Ali Alavi","doi":"10.1016/j.aop.2024.169776","DOIUrl":null,"url":null,"abstract":"<div><p>This paper aims to investigate the Landau problem in the framework of a two-dimensional dynamical noncommutative (DNC) space. We study the deformed Landau problem using time-independent perturbation theory, wherein the energy shift notably depends on the DNC parameter <span><math><mi>τ</mi></math></span>. Using the accuracy of energy measurement, we put an upper bound on the parameter <span><math><mi>τ</mi></math></span>. Moreover, we study magnetoconductivity by employing the Kubo formula. This approach has allowed us to test the effects of noncommutative and DNC spaces on the behavior of magnetoconductivity. We show that dynamical noncommutativity of space has no effects on the x-component of the magnetoconductivity, but has a direct effect on its y-component.</p></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"469 ","pages":"Article 169776"},"PeriodicalIF":3.0000,"publicationDate":"2024-08-30","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/S0003491624001830","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

Abstract

This paper aims to investigate the Landau problem in the framework of a two-dimensional dynamical noncommutative (DNC) space. We study the deformed Landau problem using time-independent perturbation theory, wherein the energy shift notably depends on the DNC parameter τ. Using the accuracy of energy measurement, we put an upper bound on the parameter τ. Moreover, we study magnetoconductivity by employing the Kubo formula. This approach has allowed us to test the effects of noncommutative and DNC spaces on the behavior of magnetoconductivity. We show that dynamical noncommutativity of space has no effects on the x-component of the magnetoconductivity, but has a direct effect on its y-component.

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
动态非交换空间中的朗道问题
本文旨在研究二维动态非交换(DNC)空间框架下的朗道问题。我们利用与时间相关的微扰理论研究了变形朗道问题,其中能量移动明显取决于 DNC 参数 τ。此外,我们还利用 Kubo 公式研究了磁导率。这种方法使我们能够检验非交换空间和 DNC 空间对磁导行为的影响。我们证明,空间的动态非交换性对磁导率的 x 分量没有影响,但对其 y 分量有直接影响。
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
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.
期刊最新文献
Fermionic dynamical Casimir effect: Magnus expansion Josephson effect of massive pseudospin-1 fermions in the ferromagnetic dice lattice Topological flat band with higher winding number in a superradiance lattice Semiclassical transport in two-dimensional Dirac materials with spatially variable tilt The fate for the interior content of a Black Hole from one-quarter entropy area-law
×
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