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Full counting statistics of Majorana interferometers

Authors
  • Struebi, Gregory
  • Belzig, Wolfgang
  • Schmidt, Thomas L.
  • Bruder, Christoph
Type
Published Article
Publication Date
Sep 21, 2015
Submission Date
Jun 29, 2015
Identifiers
DOI: 10.1016/j.physe.2015.08.005
Source
arXiv
License
Yellow
External links

Abstract

We study the full counting statistics of interferometers for chiral Majorana fermions with two incoming and two outgoing Dirac fermion channels. In the absence of interactions, the FCS can be obtained from the $4\times4$ scattering matrix $S$ that relates the outgoing Dirac fermions to the incoming Dirac fermions. After presenting explicit expressions for the higher-order current correlations for a modified Hanbury Brown-Twiss interferometer, we note that the cumulant-generating function can be interpreted such that unit-charge transfer processes correspond to two independent half-charge transfer processes, or alternatively, to two independent electron-hole conversion processes. By a combination of analytical and numerical approaches, we verify that this factorization property holds for a general $SO(4)$ scattering matrix, i.e. for a general interferometer geometry.

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