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arXiv · 1003.5433

Full counting statistics of Luttinger liquid conductor

D. B. Gutman·Yuval Gefen·A. D. Mirlin
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Abstract

Non-equilibrium 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 full counting statistics of the transmitted charge is derived. It is given by Fredholm determinant of the counting operator with a time dependent scattering phase. The result has a form of counting statistics of non-interacting particles with fractional charges, induced by scattering off the boundaries between the LL wire and the non-interacting leads.

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D. B. Gutman, Yuval Gefen, A. D. Mirlin. 2010-03-29. Full counting statistics of Luttinger liquid conductor. https://doi.org/10.1103/physrevlett.105.256802

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