磁界面边缘电流的量子化：K理论方法
Quantization of edge currents along magnetic interfaces: A K-theory approach
摘要：
本文的目的是研究拓扑电流沿磁界面（也称为磁壁）的二维材料的传播。我们认为紧束缚磁模型与通用的磁性多接口，并描述了K-理论设置中，可以导出一个散装接口的对偶性。然后，（平凡）的情况下，局部磁场和岩冢磁场（非平凡）的情况下被认为是在充分的细节。这是一个教学准备工作，旨在预测更复杂的多界面磁系统的研究。
英文摘要：
The purpose of this paper is to investigate the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material. We consider tight-binding magnetic models associated to generic magnetic multi-interfaces and describe the K-theoretical setting in which a bulk-interface duality can be derived. Then, the (trivial) case of a localized magnetic field and the (non trivial) case of the Iwatsuka magnetic field are considered in full detail. This is a pedagogical preparatory work that aims to anticipate the study of more complicated multi-interface magnetic systems.
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