On the self-consistent Landauer-Büttiker formalism
arXiv:2309.01564 · doi:10.1007/s00220-024-05059-7
Abstract
We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial condition from the "small sample". We also show that the steady charge current intensities are given by Landauer-Büttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems.
arXiv commentversion published in Communications in Mathematical Physics
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