Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
Abstract
We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incommensurate potential, the system undergoes a transition from a topological superconducting phase to a topologically trivial localized phase. The phase boundary is determined both numerically and analytically from various aspects and the topological superconducting phase is characterized by the presence of Majorana edge fermions in the system with open boundary conditions. We also calculate the topological invariant of the bulk system and find it can be used to distinguish the different topological phases even for a disordered system.
Keywords
Cite
@article{arxiv.1208.2532,
title = {Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices},
author = {Xiaoming Cai and Li-Jun Lang and Shu Chen and Yupeng Wang},
journal= {arXiv preprint arXiv:1208.2532},
year = {2015}
}
Comments
5 + 4 pages, 5 +2 figures, version appeared in PRL, supplementary material included