Gapless edge-modes and topology in the Qi-Wu-Zhang model: a real-space analysis

IF 2.6 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physica Scripta Pub Date : 2024-08-08 DOI:10.1088/1402-4896/ad69e1

Arjo Dasgupta and Indra Dasgupta

引用次数: 0

Abstract

The topological phase transition in the Qi-Wu-Zhang model is studied using a real-space approach. An effective Hamiltonian for the topologically protected edge-modes in a finite-size system is developed. The topological phase transition is understood in terms of a global perturbation to the system which lifts the degeneracy of the edge-modes. The effective Hamiltonian method is also applied to a one-dimensional system with spatially varying hopping strengths to understand the impact of disorder on the edge-modes.

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齐-吴-张模型中的无间隙边缘模式和拓扑结构：实空间分析

采用实空间方法研究了齐-吴-张模型中的拓扑相变。建立了有限尺寸系统中拓扑保护边缘模的有效哈密顿。拓扑相变是通过对系统的全局扰动来理解的，这种扰动解除了边缘模的退化性。有效哈密顿方法还被应用于具有空间变化跳跃强度的一维系统，以了解无序对边缘模的影响。

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

Physica Scripta 物理-物理：综合

CiteScore

3.70

自引率

3.40%

发文量

782

审稿时长

4.5 months

期刊介绍： Physica Scripta is an international journal for original research in any branch of experimental and theoretical physics. Articles will be considered in any of the following topics, and interdisciplinary topics involving physics are also welcomed: -Atomic, molecular and optical physics- Plasma physics- Condensed matter physics- Mathematical physics- Astrophysics- High energy physics- Nuclear physics- Nonlinear physics. The journal aims to increase the visibility and accessibility of research to the wider physical sciences community. Articles on topics of broad interest are encouraged and submissions in more specialist fields should endeavour to include reference to the wider context of their research in the introduction.