磁性狄拉克系统：之字形极限中违反体边对应关系的现象

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-07-05 DOI:10.1007/s11005-024-01839-3

J.-M. Barbaroux, H. D. Cornean, L. Le Treust, N. Raymond, E. Stockmeyer

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引用次数: 0

摘要

我们考虑了一个定义在半平面上的具有恒定磁场的狄拉克算子，其边界条件介于无限质量和之字形之间。通过对能量弥散曲线的详细研究，我们发现无限质量情况一般都能捕捉到这些曲线的轮廓，它们经历了连续的点状变形，变成拓扑上不同的之字形轮廓。此外，我们还将这些结果应用于体边对应关系。特别是，通过一个反例，我们证明了这种对应关系在之字形情况下并不总是成立的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit

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Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit

We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy dispersion curves, we show that the infinite mass case generically captures the profile of these curves, which undergoes a continuous pointwise deformation into the topologically different zigzag profile. Moreover, these results are applied to the bulk-edge correspondence. In particular, by means of a counterexample, we show that this correspondence does not always hold true in the zigzag case.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.