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Full counting statistics of Luttinger liquid conductor · Around

2010

Full counting statistics of Luttinger liquid conductor

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

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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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see Supplementary Material

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D.B. Gutman, Y. Gefen and A.D. Mirlin, arXiv:0906.4076; Phys. Rev. B 81

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