Interplay of disorder and interaction in Majorana quantum wires

Details Interplay of disorder and interaction in Majorana quantum wires Interplay of disorder and interaction in Majorana quantum wires

2012-02-13

arxiv.org/abs/1202.2837v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 2 figures

Scientific paper

We study the interplay between disorder and interaction in one-dimensional topological superconductors which carry localized Majorana zero-energy states. Using Abelian bosonization and the perturbative renormalization group (RG) approach, we obtain the RG-flow and the associated scaling dimensions of the parameters and identify the critical points of the low-energy theory. We predict a quantum phase transition from a topological superconducting phase to a non-topological localized phase, and obtain the phase boundary between these two phases as a function of the electron-electron interaction and the disorder strength in the nanowire. We also identify a large regime of stability of the topological phase in the parameter space of the model.

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