Nonperturbative phase diagram of interacting disordered Majorana   nanowires
  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. 
Francois Cr\'epin, Gergely Zar\'and, Pascal Simon
cond-mat.mes-hall cond-mat.str-el