We have a comparative study of the quantum spin Hall (QSH) effects induced by non-magnetic and magnetic staggered potentials respectively and show that they have the same effect in driving the topological phase transition. The result implies that both time-reversal (T) preserving and breaking systems can host QSH effect. We also investigate the stability of the resulting QSH effect to disorder and find that for T invariant system the edge states are always robust while those of T breaking system are also robust if there is additional symmetry in the system.
@article{arxiv.1101.4064,
title = {Quantum spin Hall effect induced by non-magnetic and magnetic staggered potentials},
author = {Huaiming Guo and Shiping Feng and Shun-Qing Shen},
journal= {arXiv preprint arXiv:1101.4064},
year = {2015}
}