Nonperturbative phase diagram of interacting disordered Majorana nanowires

Francois Crépin, Gergely Zaránd, Pascal Simon

Published 2014-05-16, updated 2014-09-25Version 2

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 ?nd only two stable phases: a topological superconducting phase, and a glassy, non-topological localized phase, characterized by replica symmetry breaking.