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

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.

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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。

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来源期刊

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.