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We discuss the use of super-fermion formalism to represent and solve quantumkinetic equations for the electron transport problem. Starting with theLindblad master equation for the molecule connected to two metal electrodes, weconvert the problem of finding the nonequilibrium steady state to the many-bodyproblem with non-Hermitian Liouvillian in super-Fock space. We transform theLiouvillian to the normal ordered form, introduce nonequilibrium quasiparticlesby a set of canonical nonunitary transformations and develop general many-bodytheory for the electron transport through the interacting region. The approachis applied to the electron transport through a single level. We consider aminimal basis hydrogen atom attached to two metal leads in Coulomb blockaderegime (out of equilibrium Anderson model) within the nonequilibriumHartree-Fock approximation as an example of the system with electroninteraction. Our approach agrees with exact results given by the Landauertheory for the considered models.

Super-fermion representation of the Lindblad master equation for the electron transport problem