论文标题

在光谱流和费米电弧上

On spectral flow and Fermi arcs

论文作者

Thiang, Guo Chuan

论文摘要

我们介绍光谱流技术,以解释为什么Weyl半学的费米弧在拓扑上受到保护,以防止边界条件的变化和扰动。我们首先分析了自我伴侣半线大规模迪拉克汉密尔顿人的某个通用空间的拓扑,然后通过将其拉回通用的Weyl半学模型来利用其非平凡和同型不变光流量结构。因此,使用Dirac Strings/Euler链作为Weyl Semimetals/Fermi Arcs的全球拓扑不变的同源观点是有道理的。

We introduce spectral flow techniques to explain why the Fermi arcs of Weyl semimetals are topologically protected against boundary condition changes and perturbations. We first analyse the topology of a certain universal space of self-adjoint half-line massive Dirac Hamiltonians, and then exploit its non-trivial and homotopy invariant spectral flow structure by pulling it back to generic Weyl semimetal models. The homological perspective of using Dirac strings/Euler chains as global topological invariants of Weyl semimetals/Fermi arcs, is thereby analytically justified.

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