Nonperturbative phase diagram of interacting disordered Majorana nanowires

Francois Crépin; Gergely Zaránd; Pascal Simon

doi:10.1103/physrevb.90.121407

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arXiv · 1405.4283

Nonperturbative phase diagram of interacting disordered Majorana nanowires

Francois Crépin·Gergely Zaránd·Pascal Simon

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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 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.

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Francois Crépin, Gergely Zaránd, Pascal Simon. 2014-05-16. Nonperturbative phase diagram of interacting disordered Majorana nanowires. https://doi.org/10.1103/physrevb.90.121407

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