Magnetic slowdown of topological edge states

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2023-09-12 DOI:10.1002/cpa.22154

Guillaume Bal, Simon Becker, Alexis Drouot

引用次数: 5

Abstract

We study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We construct semiclassical wavepackets propagating along the curved interface as adiabatic modulations of straight edge states under constant magnetic fields. While in the magnetic-free case, the wavepackets propagate coherently at speed one, here they experience slowdown, dispersion, and Aharonov–Bohm effects. Several numerical simulations illustrate our results.

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拓扑边缘态的磁减速

我们研究了波包沿着拓扑磁性材料之间的弯曲界面的传播。我们的哈密顿算符是一个带磁势的大规模狄拉克算符。我们构造了沿弯曲界面传播的半经典波包，作为恒定磁场下直边状态的绝热调制。而在无磁的情况下，波包以1的速度相干传播，在这里它们经历了减速、色散和阿哈罗诺夫-玻姆效应。几个数值模拟验证了我们的结果。

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

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.