Full counting statistics of a luttinger liquid conductor

D. B. Gutman, Yuval Gefen, A. D. Mirlin

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


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.

Original languageEnglish
Article number256802
JournalPhysical Review Letters
Issue number25
StatePublished - 13 Dec 2010


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