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arXiv · 1104.5399

Non-equilibrium steady-states for interacting open systems: exact results

Valeriu Moldoveanu·Horia D. Cornean·Claude-Alain Pillet
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Abstract

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our time-dependent scattering approach is {\it exact} and proves, among other things the independence of the steady-state quantities from the initial state of the sample. Closed formulas for the steady-state current amenable for perturbative calculations w.r.t. the interaction strength are also derived. In the partitioning case we calculate the first order correction and recover the mean-field (Hartree-Fock) results.

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Valeriu Moldoveanu, Horia D. Cornean, Claude-Alain Pillet. 2011-04-28. Non-equilibrium steady-states for interacting open systems: exact results. https://doi.org/10.1103/physrevb.84.075464

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