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Nonperturbative phase diagram of interacting disordered Majorana nanowires

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arxiv 1405.4283 v2 pith:4TIRCSOA submitted 2014-05-16 cond-mat.mes-hall cond-mat.str-el

Nonperturbative phase diagram of interacting disordered Majorana nanowires

classification cond-mat.mes-hall cond-mat.str-el
keywords phasesuperconductingdiagramdisorderedinteractingreplicatopologicalallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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