Full counting statistics of Luttinger liquid conductor

Details Full counting statistics of Luttinger liquid conductor Full counting statistics of Luttinger liquid conductor

2010-03-29

arxiv.org/abs/1003.5433v1

Phys. Rev. Lett. 105, 256802 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.105.256802

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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