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Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires

Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires

Under appropriate external conditions a semiconductor nanowire in proximity to an $s$-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire. However, the non-Abelian exchange statistics of Majorana fermions is difficult to verify because of the one-dimensional …