Sagnac effect and quantum Hall effect in rotating GaAs/Ga1−xAlxAs systems

IF 3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Annals of Physics Pub Date : 2024-11-16 DOI:10.1016/j.aop.2024.169858

Cleverson Filgueiras , Moises Rojas , Denise Assafrão , A.G. de Lima

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引用次数: 0

Abstract

This study investigates the intricate interplay between inertial effects and the quantum Hall effect (QHE) in two-dimensional electron systems (2DEGs), specifically in a

G a A s / G a_{1 - x} A l_{x} A s

system. We analyze how hydrostatic pressure, temperature, and aluminum concentration influence the effective electronic mass and consequently modify the energy levels of the system. A key aspect of our work is the distinction between effective mass and gravitational mass, which plays a crucial role in the behavior of electrons under inertial forces. The Hamiltonian incorporates the Sagnac effect, revealing distinct behaviors in the energy structure of a rotating 2DEG under a perpendicular magnetic field. Our results demonstrate that rotational motion breaks the degeneracy of Landau levels, resulting in a complex energy spectrum that significantly impacts Hall conductivity. We show that the Hall conductivity is enhanced by the rotational motion and is sensitive to variations in the effective mass due to changes in aluminum concentration and pressure. These findings provide crucial insights into the dynamics of 2DEGs in rotating frames and highlight the need to account for inertial effects in future theoretical and experimental studies of quantum systems.

查看原文本刊更多论文

旋转砷化镓/砷化镓-xAlxAs 系统中的萨格纳克效应和量子霍尔效应

本研究探讨了二维电子系统（2DEG）中惯性效应与量子霍尔效应（QHE）之间错综复杂的相互作用，特别是在 GaAs/Ga1-xAlxAs 系统中。我们分析了静水压力、温度和铝浓度如何影响有效电子质量，进而改变系统的能级。我们工作的一个关键方面是区分有效质量和引力质量，这在惯性力作用下的电子行为中起着至关重要的作用。哈密顿方程包含了萨格纳克效应，揭示了垂直磁场下旋转二维电子元件能量结构的独特行为。我们的研究结果表明，旋转运动打破了朗道水平的变性，从而产生了复杂的能谱，对霍尔电导率产生了重大影响。我们的研究表明，霍尔电导率因旋转运动而增强，并且对铝浓度和压力变化引起的有效质量变化非常敏感。这些发现提供了对旋转框架中二维电子元件动力学的重要见解，并强调了在未来量子系统的理论和实验研究中考虑惯性效应的必要性。

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.