The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interface. Our approach relies on semiclassical methods. It suggests novel perspectives for the analysis of topologically protected transport.

中文翻译：

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体边缘对应的微局部分析

体边缘对应预测拓扑绝缘体之间的界面支持强大的电流。我们为周期性远离界面的 PDE 证明了这一原则。我们的方法依赖于半经典方法。它为分析受拓扑保护的运输提出了新的观点。