Exact non-equilibrium current from the partition function for impurity transport problems

Details Exact non-equilibrium current from the partition function for impurity transport problems Exact non-equilibrium current from the partition function for impurity transport problems

1997-07-29

arxiv.org/abs/cond-mat/9707307v4

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, RevTex. Final extended version

Scientific paper

10.1103/PhysRevB.57.12772

We study the partition functions of quantum impurity problems in the domain of complex applied bias for its relation to the non-equilibrium current suggested by Fendley, Lesage and Saleur (cond-mat/9510055). The problem is reformulated as a certain generalization of the linear response theory that accomodates an additional complex variable. It is shown that the mentioned relation holds in a rather generic case in the linear response limit, or under certain condition out of equilibrium. This condition is trivially satisfied by the quadratic Hamiltonians and is rather restrictive for the interacting models. An example is given when the condition is violated.

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