We study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We construct semiclassical wavepackets propagating along the curved interface as adiabatic modulations of straight edge states under constant magnetic fields. While in the magnetic-free case, the wavepackets propagate coherently at speed one, here they experience slowdown, dispersion, and Aharonov–Bohm effects. Several numerical simulations illustrate our results.

中文翻译：

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拓扑边缘态的磁减速

我们研究波包沿着拓扑磁性材料之间的弯曲界面传播。我们的哈密顿量是一个具有磁势的巨大狄拉克算子。我们构建了沿着弯曲界面传播的半经典波包作为恒定磁场下直边状态的绝热调制。在无磁情况下，波包以速度一相干传播，但在这里它们会经历减速、色散和阿哈罗诺夫-玻姆效应。几个数值模拟说明了我们的结果。