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.
Cornean, H.D., Marcelli, G. (2024). On the Self-Consistent Landauer–Büttiker Formalism. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 405(10) [10.1007/s00220-024-05059-7].
On the Self-Consistent Landauer–Büttiker Formalism
Marcelli, Giovanna
2024-01-01
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.File in questo prodotto:
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