Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport

Details Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport

2012-01-05

arxiv.org/abs/1201.1230v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 5 figures

Scientific paper

We use super-fermion representation of quantum kinetic equation to develop nonequilibrium perturbation theory for inelastic electron current through quantum dot. We derive Lindblad type kinetic equation for an embedded quantum dot (i.e. a quantum dot connected to Lindblad dissipators through a buffer zone). The kinetic equation is converted to non-Hermitian field theory in Liouville-Fock space. The general nonequilibrium many-body perturbation theory is developed and applied to the quantum dot with electron-vibron and electron-electron interactions. Our perturbation theory becomes equivalent to Keldysh nonequilibrium Green's functions perturbative treatment provided that the buffer zone is large enough to alleviate the problems associated with approximations of the Lindblad kinetic equation.

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