Alejandro M. Lobos, Roman M. Lutchyn, S. Das Sarma
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.
View original:
http://arxiv.org/abs/1202.2837
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