磁性四分之一平面系统中的界面电流和角态

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Advances in Theoretical and Mathematical Physics Pub Date : 2024-07-16 DOI:10.4310/atmp.2023.v27.n6.a4

Danilo Polo Ojito

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引用次数: 0

摘要

我们研究了电流沿两个 $2$-$d$ 磁系界面的传播，其中一个磁系占据平面的第一象限。通过考虑紧约束近似模型和 K 理论，我们证明，对于由每个系统的两个体拓扑不变量之差给出的整数，这种界面电流是量子化的。我们进一步阐述了产生这类底层系统角态的必要条件，并证明它们具有拓扑保护渐近不变性。

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Interface currents and corner states in magnetic quarter-plane systems

We study the propagation of currents along the interface of two $2$-$d$ magnetic systems, where one of them occupies the first quadrant of the plane. By considering the tight-binding approximation model and K-theory, we prove that, for an integer number that is given by the difference of two bulk topological invariants of each system, such interface currents are quantized. We further state the necessary conditions to produce corner states for these kinds of underlying systems, and we show that they have topologically protected asymptotic invariants.

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来源期刊

Advances in Theoretical and Mathematical Physics 物理-物理：粒子与场物理

CiteScore

2.20

自引率

6.70%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.