沿着缓变边缘的大质量狄拉克方程中的旅行边缘态
Traveling edge states in massive Dirac equations along slowly varying edges
摘要：
拓扑保护波动由于其新颖的性质和在许多领域的潜在应用而引起了人们的广泛兴趣。在这项工作中，我们研究了边缘模式和旅行边缘状态通过线性狄拉克方程与所谓的域壁质量。单向边缘状态提供了一个启发式的方法，更一般的旅行边缘状态，通过本地化的行为沿缓慢变化的边缘。通过分析和定量的讨论，我们给出了两种典型的边缘态的渐近解，它们分别是圆边和小曲率的曲边。
英文摘要：
Topologically protected wave motion has attracted considerable interest due to its novel properties and potential applications in many different fields. In this work, we study edge modes and traveling edge states via the linear Dirac equations with so-called domain wall masses. The unidirectional edge state provides a heuristic approach to more general traveling edge states through the localized behavior along slowly varying edges. We show the leading asymptotic solutions of two typical edge states that follow the circular and curved edges with small curvature by analytic and quantitative arguments.
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