Super-fermion representation of quantum kinetic equations for the electron transport problem

被引:79
作者
Dzhioev, Alan A. [1 ,2 ,3 ]
Kosov, D. S. [1 ,2 ]
机构
[1] Univ Libre Bruxelles, Dept Phys, B-1050 Brussels, Belgium
[2] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium
[3] Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys, RU-141980 Dubna, Russia
关键词
NEGATIVE DIFFERENTIAL RESISTANCE; CONDUCTANCE; SYSTEMS;
D O I
10.1063/1.3548065
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We discuss the use of super-fermion formalism to represent and solve quantum kinetic equations for the electron transport problem. Starting with the Lindblad master equation for the molecule connected to two metal electrodes, we convert the problem of finding the nonequilibrium steady state to the many-body problem with non-Hermitian Liouvillian in super-Fock space. We transform the Liouvillian to the normal ordered form, introduce nonequilibrium quasiparticles by a set of canonical nonunitary transformations and develop general many-body theory for the electron transport through the interacting region. The approach is applied to the electron transport through a single level. We consider a minimal basis hydrogen atom attached to two metal leads in Coulomb blockade regime (out of equilibrium Anderson model) within the nonequilibrium Hartree-Fock approximation as an example of the system with electron interaction. Our approach agrees with exact results given by the Landauer theory for the considered models. (C) 2011 American Institute of Physics. [doi:10.1063/1.3548065]
引用
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页数:13
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