Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires

  title={Controlling non-Abelian statistics of Majorana fermions in semiconductor nanowires},
  author={Jay Deep Sau and David J. Clarke and Sumanta Tewari},
  journal={Physical Review B},
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 verify because of the one-dimensional topology of such wires. In this paper we propose a scheme to transport Majorana fermions between the ends of different wires using tunneling… 

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) argued that a similar result holds based on consevation of iγ 1 γ 2 γ 3 which follows from conservation of fermion parity . 33 J . Bardeen
  • Phys . Rev . Lett .
  • 2010