论文标题
诊断为对称性保护拓扑系统的紧密结合结构中的显式对称性破坏
A diagnosis of explicit symmetry breaking in the tight-binding constructions for symmetry-protected topological systems
论文作者
论文摘要
已经有充分的确定是，对于对称性保护的拓扑系统，非平凡的拓扑结构可以在所有方向上使用指数局部的Wannier波形（WFS）来防止实际空间表示，除非将保护对称性置于现场转换。这使得确定使用此类WF代表的各种物理观察物的对称性变得具有挑战性。在这项工作中，我们提出了一种使用Kane-Mele模型作为具体示例来克服此类挑战的实用方法。我们提出了一个系统的过程，用于诊断任何可观察到的对称性，以及一种构造对称操作员以达到任意截断精度的方法。
It has been well established that for symmetry protected topological systems, the non-trivial topology prevents a real space representation using exponentially localized Wannier wavefunctions (WFs) in all directions, unless the protecting symmetry is sacrificed as an on-site transformation. This makes it challenging to determine the symmetry of various physical observables represented using such WFs. In this work, we propose a practical method for overcoming such challenges using the Kane-Mele model as a concrete example. We present a systematic procedure for diagnosing the symmetry of any observables, as well as a method for constructing symmetric operators up to arbitrary truncation accuracy.
