Quantum spin Hall effect induced by non-magnetic and magnetic staggered   potentials
  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 (${\cal T}$) preserving and breaking systems can host QSH effect. We also investigate the stability of the resulting QSH effect to disorder and find that for ${\cal T}$ invariant system the edge states are always robust while those of ${\cal T}$ breaking system are also robust if there is additional symmetry in the system. 
Huaiming Guo, Shiping Feng and Shun-Qing Shen
cond-mat.mes-hall