2011/04/30 by Valeriu Moldoveanu, Horia D. Cornean, Claude‐Alain Pillet +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Independence (probability theory) #Mathematics #Mesoscopic physics #Non-equilibrium thermodynamics #Partition (number theory) #Physics #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Statistics #Steady state (chemistry) #cond-mat.mes-hall #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.84.075464
To appear in Phys. Rev. B
arxiv created 2011/07/09 · openalex publication_date 2011/08/11 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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 with regard to the interaction strength are also derived. In the partitioning case, we calculate the first-order correction and recover the mean-field (Hartree-Fock) results.