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Topological Superconductors and Majorana Fermions
  KTH/Nordita/SU seminar in Theoretical Physics [before December 2013]

Wednesday 17 August 2011
from 11:00 to 12:00
at FA31
Speaker : Masatoshi Sato (University of Tokyo)
Abstract : When a topological order is realized in a certain class of superconductors, it supports Majorana fermions on the edge or in the vortex core. Vortices with Majorana fermion modes are neither fermions nor bosons but non-Abelian anyons, obeying the non-Abelian statistics for which the exchange operations of particles are not commutative. Because of this remarkable feature, Majorana fermions play an important role for the realization of fault-tolerant topological quantum computation.

In this talk, I would like to report our recent work on Majorana fermions and non-Abelian anyons in topological superconductors. Until recently, only a few of spin-triplet superconducting states, such as \nu=2/5 fractional quantum Hall states or Sr2RuO4, had been known to exhibit Majorana fermions. In this talk, I show that spin-singlet superconductors also support Majorana fermions if we take into account the spin-orbit interaction. I also discuss that a peculiar flat dispersion Majorana fermion is possible in a certain non-centrosymmetric superconductor. Topological characterization of these Majorana fermions is also argued.

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