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arXiv · 1201.1230

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

Alan A. Dzhioev·D. S. Kosov
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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.

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Alan A. Dzhioev, D. S. Kosov. 2012-05-16. Nonequilibrium perturbation theory in Liouville-Fock space for inelastic electron transport. https://doi.org/10.1088/0953-8984%2F24%2F22%2F225304

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