LAUSR

We study the topological properties of the one-dimensional p-wave Aubry-André-Harper(AAH) model with periodic incommensurate potential and transition coupling. The calculation results show that due to co-influence of the incommensurate potential and modulation phase, three topological phases arise in different parameter regions: topologically-trivial phase, Su-Schrieffer-Heeger(SSH)-like topological phase, and Kitaev-like topological superconducting phase with Majorana zero modes. By evaluating the Andreev reflection conductance, we see that in the Kitaev-like phase, the quantized conductance plateau comes into being at the zero-bias limit, due to the occurrence of resonant Andreev reflection. In addition, when the disorder effect is incorporated, the SSH-like topology is modified sensitively and the degenerate topological states split, whereas the Kitaev-like topological phase is robust to weak disorder. Finally, we find that disorder can induce topological phase transition, i.e., from topologically-trivial phase to topological phase. Based on these results, we believe that our findings have significance for studying the topological phase transition in one-dimensional topological superconducting system. Also, it provides a feasible scheme for clarifying different topological phases.