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Full counting statistics of Majorana interferometers

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Struebi_0-306408.pdf
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2015

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Strübi, Grégory
Schmidt, Thomas L.
Bruder, Christoph

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Physica E : Low-dimensional Systems and Nanostructures. 2015, 74, pp. 489-495. ISSN 1386-9477. eISSN 1873-1759. Available under: doi: 10.1016/j.physe.2015.08.005

Zusammenfassung

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 4x4 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.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
530 Physik

Schlagwörter

Quantum transport, Full countingstatistics, Majoranaquasiparticles

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ISO 690STRÜBI, Grégory, Wolfgang BELZIG, Thomas L. SCHMIDT, Christoph BRUDER, 2015. Full counting statistics of Majorana interferometers. In: Physica E : Low-dimensional Systems and Nanostructures. 2015, 74, pp. 489-495. ISSN 1386-9477. eISSN 1873-1759. Available under: doi: 10.1016/j.physe.2015.08.005
BibTex
@article{Strubi2015count-32222,
  year={2015},
  doi={10.1016/j.physe.2015.08.005},
  title={Full counting statistics of Majorana interferometers},
  volume={74},
  issn={1386-9477},
  journal={Physica E : Low-dimensional Systems and Nanostructures},
  pages={489--495},
  author={Strübi, Grégory and Belzig, Wolfgang and Schmidt, Thomas L. and Bruder, Christoph},
  note={Contributed to the special issue of Physica E "Frontiers in Quantum Electronic Transport - In Memory of Markus Buttiker"}
}
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Contributed to the special issue of Physica E "Frontiers in Quantum Electronic Transport - In Memory of Markus Buttiker"
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