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

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 th...

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Bibliographic Details
Published in:Journal of physics. Condensed matter 2012-06, Vol.24 (22), p.225304-225304
Main Authors: Dzhioev, Alan A, Kosov, D S
Format: Article
Language:English
Subjects:
Approximation
Buffer zones
Condensed matter
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Dissipation
Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures
Electronic transport in multilayers, nanoscale materials and structures
Equivalence
Exact sciences and technology
Kinetic equations
Perturbation theory
Physics
Quantum dots
Representations
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Summary: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.
ISSN:0953-8984
1361-648X
DOI:10.1088/0953-8984/24/22/225304