Full Counting Statistics of a Luttinger Liquid Conductor

D. B. Gutman, Yuval Gefen, and A. D. Mirlin
Phys. Rev. Lett. 105, 256802 – Published 13 December 2010
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Abstract

Nonequilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the time resolved full counting statistics of the transmitted charge is derived. It is given by the Fredholm determinant of the counting operator with a time-dependent scattering phase. The result has a form of counting statistics of noninteracting particles with fractional charges, induced by scattering off the boundaries between the LL wire and the noninteracting leads.

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  • Received 29 March 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.256802

© 2010 The American Physical Society

Authors & Affiliations

D. B. Gutman1, Yuval Gefen2, and A. D. Mirlin3,4,5

  • 1Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel
  • 2Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel
  • 3Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany
  • 4Institut für Theorie der kondensierten Materie, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany
  • 5Petersburg Nuclear Physics Institute, 188300 St. Petersburg, Russia

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Issue

Vol. 105, Iss. 25 — 17 December 2010

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