Reference : Full counting statistics of Majorana interferometers
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Full counting statistics of Majorana interferometers
Strubi, Gregory [University of Basel]
Belzig, Wolfgang [University of Konstanz]
Schmidt, Thomas mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
Bruder, Christoph [University of Basel]
Physica E: Low-Dimensional Systems and Nanostructures
Elsevier Science
Yes (verified by ORBilu)
[en] 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 4×4 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 SO(4) scattering matrix, i.e. for a general interferometer geometry.

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