Nonperturbative phase diagram of interacting disordered Majorana nanowires

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.

9 pages, 2 figures

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• Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
• Multiple signatures of topological transitions for interacting fermions in chain lattices
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• Localization-enhanced and degraded topological-order in interacting p-wave wires
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Topological order in random interacting Ising-Majorana chains stabilized by many-body localization
• Majorana zero modes and long range edge correlation in interacting Kitaev chains: analytic solutions and density-matrix-renormalization-group study
• Density of states at disorder-induced phase transitions in a multichannel Majorana wire
• Topological and quantum critical properties of the interacting Majorana chain model
• Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain
• Constrained thermalisation and topological superconductivity
• Universal Characterization of Quantum Many-Body States through Local Information
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder