Majorana fermion exchange in strictly one-dimensional structures

  title={Majorana fermion exchange in strictly one-dimensional structures},
  author={Ching-Kai Chiu and Mojtaba Mashhadi Mohammadzadeh Vazifeh and Marcel Franz},
It is generally thought that the adiabatic exchange of two identical particles is impossible in one spatial dimension. Here we describe a simple protocol that permits the adiabatic exchange of two Majorana fermions in a one-dimensional topological superconductor wire. The exchange relies on the concept of "Majorana shuttle" whereby a π domain wall in the superconducting order parameter which hosts a pair of ancillary majoranas delivers one zero mode across the wire while the other one tunnels… 

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