Current statistics of correlated charge tunnelling through an impurity in a 1D wire

Details Current statistics of correlated charge tunnelling through an impurity in a 1D wire Current statistics of correlated charge tunnelling through an impurity in a 1D wire

Apr 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008njph...10d5008h&link_type=abstract

New Journal of Physics, Volume 10, Issue 4, pp. 045008 (2008).

Physics

4

Scientific paper

We review recent advances in the full counting statistics of a generic transport model of a quantum Brownian particle. The model applies to charge transfer through an impurity embedded in a Luttinger liquid environment, to a coherent one-channel conductor in a resistive environment, and to a resistively shunted Josephson junction device. We derive analytic expressions for the cumulant generating function (CGF) at two particular values of the Luttinger parameter which are related by self-duality. We determine the self-duality relations between the CGFs and between the cumulants.

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