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

作者:Dzhioev Alan A*; Kosov D S
来源:Journal of Physics: Condensed Matter , 2012, 24(22): 225304.
DOI:10.1088/0953-8984/24/22/225304

摘要

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.

  • 出版日期2012-6-6