Non-equilibrium steady-states for interacting open systems: exact   results
  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. 
Valeriu Moldoveanu, Horia D. Cornean, Claude-Alain Pillet
cond-mat.mes-hall cond-mat.str-el math-ph math.MP