Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2011-08-12
The Journal of Chemical Physics 135, 17411 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
Scientific paper
10.1063/1.3658736
We present a method to perform stability analysis of nonequilibrium fixed points appearing in self-consistent electron transport calculations. The nonequilibrium fixed points are given by the self-consistent solution of stationary, nonlinear kinetic equation for single-particle density matrix. We obtain the stability matrix by linearizing the kinetic equation around the fixed points and analyze the real part of its spectrum to assess the asymptotic time behavior of the fixed points. We derive expressions for the stability matrices within Hartree-Fock and linear response adiabatic time-dependent density functional theory. The stability analysis of multiple fixed points is performed within the nonequilibrium Hartree-Fock approximation for the electron transport through a molecule with a spin-degenerate single level with local Coulomb interaction.
Dzhioev Alan A.
Kosov Daniel S.
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