Topological Phases in the Single-Layer FeSe

A distinct electronic structure was observed in the single-layer FeSe which shows surprising high temperature superconductivity over 65k. Here we demonstrate that the electronic structure can be explained by the strain effect due to substrates. More importantly, we find that this electronic structure can be tuned into robust topological phases from a topologically trivial metallic phase by the spin-orbital interaction and couplings to substrates. The topological phase is robust against any perturbations that preserve the time-reversal symmetry. Our studies suggest that topological phases and topologically related properties such as Majorana Fermions can be realized in iron-based high T$_{c}$ superconductors.