Can I read A Diagnosis of Explicit Symmetry Breaking in the Tight-binding Constructions for Symmetry-protected Topological Systems on EtoBox?

A Diagnosis of Explicit Symmetry Breaking in the Tight-binding Constructions for Symmetry-protected Topological Systems by Wang, Xiaoyu; Vafek, Oskar is a scholarly article available to read on EtoBox.

What is A Diagnosis of Explicit Symmetry Breaking in the Tight-binding Constructions for Symmetry-protected Topological Systems about?

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.

Author

Wang, Xiaoyu; Vafek, Oskar

Published

2020

Language

EN