Topological superconducting phases in disordered quantum wires with   strong spin-orbit coupling
  Zeeman fields can drive semiconductor quantum wires with strong spin-orbit coupling and in proximity to s-wave superconductors into a topological phase which supports end Majorana fermions and offers an attractive platform for realizing topological quantum information processing. Here, we investigate how potential disorder affects the topological phase by a combination of analytical and numerical approaches. Most prominently, we find that the robustness of the topological phase against disorder depends sensitively and non-monotonously on the Zeeman field applied to the wire. 
Piet W. Brouwer, Mathias Duckheim, Alessandro Romito, and Felix von   Oppen
cond-mat.mes-hall cond-mat.supr-con