A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics

Details A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics A one-channel conductor in an ohmic environment: mapping to a TLL and full counting statistics

2003-12-18

arxiv.org/abs/cond-mat/0312477v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 2 figures, shortened version for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.93.126602

It is shown that a one-channel mesoscopic conductor in an ohmic environment can be mapped to the problem of a backscattering impurity in a Tomonaga-Luttinger liquid (TLL). This allows to determine non perturbatively the effect of the environment on $I-V$ curves, and to find an exact relationship between dynamic Coulomb blockade and shot noise. We investigate critically how this relationship compares to recent proposals in the literature. The full counting statistics is determined at zero temperature.

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