We develop a Gaussian variational approach in replica space to investigate the phase diagram of a one-dimensional interacting disordered topological superconducting wire in the strong coupling regime. This method allows for a non-perturbative treatment in the disorder strength, electron- electron interactions and the superconducting pairing amplitude. We find only two stable phases: a topological superconducting phase, and a glassy, non-topological localized phase, characterized by replica symmetry breaking.
@article{arxiv.1405.4283,
title = {Nonperturbative phase diagram of interacting disordered Majorana nanowires},
author = {Francois Crépin and Gergely Zaránd and Pascal Simon},
journal= {arXiv preprint arXiv:1405.4283},
year = {2016}
}