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

Dzhioev, Alan A.;Kosov, D.S.

Abstract

We use a superoperator representation of the quantum kinetic equation to develop nonequilibrium perturbation theory for an inelastic electron current through a quantum dot. We derive a 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–vibronic and electron–electron interactions. Our perturbation theory becomes equivalent to a Keldysh nonequilibrium Green's function perturbative treatment provided that the buffer zone is large enough to alleviate the problems associated with approximations of the Lindblad kinetic equation.

Journal

Journal of Physics Condensed Matter

Publication Name

Journal of Physics: Condensed Matter

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ISBN/ISSN

1361-648X

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Institute of Physics Publishing

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DOI

10.1088/0953-8984/24/22/225304