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Full counting statistics of Majorana interferometers
Journal
Physica E: Low-dimensional Systems and Nanostructures
Volume
74
Pages / Article-Number
489-495
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 x 4 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 5014) scattering matrix, i.e. for a general interferometer geometry. (C) 2015 Elsevier B.V. All rights reserved.
