Statistical translation invariance protects a topological insulator from interactions.

@article{Milsted2015StatisticalTI,
  title={Statistical translation invariance protects a topological insulator from interactions.},
  author={Ashley Milsted and Luis Filipe Oleiro Seabra and Ion Cosma Fulga and C. W. J. Beenakker and Emilio Cobanera},
  journal={Physical Review B},
  year={2015},
  volume={92},
  pages={085139}
}
We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes present at the ends of the wires overlap, forming a dispersive edge mode with thermal conductance determined by the central charge $c$ of the low-energy effective field theory of the edge. We show numerically that, in the presence of disorder, the $c=1/2… 

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    See the Supplemental Material