Full counting statistics of Majorana interferometers

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 $4\times 4$ 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.

22 pages, 3 figures, contributed to the special issue of Physica E "Frontiers in Quantum Electronic Transport - In Memory of Markus Buttiker"

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Cited by in corpus (6)

• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation
• Excess equilibrium noise in topological SNS junction between chiral Majorana liquids
• Microwave response of a chiral Majorana interferometer
• Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
• Shot noise from which-path detection in a chiral Majorana interferometer