Stability analysis of multiple nonequilibrium fixed points in self-consistent electron transport calculations

Dzhioev, Alan, and Kosov, Daniel (2011) Stability analysis of multiple nonequilibrium fixed points in self-consistent electron transport calculations. Journal of Chemical Physics, 135 (17). 174111. pp. 1-7.

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Abstract

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.

Item ID: 26161
Item Type: Article (Research - C1)
ISSN: 1089-7690
Date Deposited: 29 Apr 2013 01:55
FoR Codes: 02 PHYSICAL SCIENCES > 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics > 020201 Atomic and Molecular Physics @ 50%
03 CHEMICAL SCIENCES > 0307 Theoretical and Computational Chemistry > 030704 Statistical Mechanics in Chemistry @ 50%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 100%
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