Nonperturbative phase diagram of interacting disordered Majorana nanowires

Crepin, F. and Zaránd, Gergely Attila and Simon, P. (2014) Nonperturbative phase diagram of interacting disordered Majorana nanowires. PHYSICAL REVIEW B, 90 (12). ISSN 2469-9950

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Abstract

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 nonperturbative 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, nontopological localized phase, characterized by replica symmetry breaking.

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