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Updated: Jun 5, 2026

Ultrasound Velocity Measurement in a Liquid Metal Electrode
Published on: August 5, 2015
Full counting statistics of a Luttinger liquid conductor
D B Gutman1, Yuval Gefen, A D Mirlin
1Department of Physics, Bar Ilan University, Ramat Gan 52900, Israel.
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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