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.
Originalsprog | Engelsk |
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Artikelnummer | 224 |
Tidsskrift | Communications in Mathematical Physics |
Vol/bind | 405 |
Udgave nummer | 10 |
ISSN | 0010-3616 |
DOI | |
Status | Udgivet - okt. 2024 |
Bibliografisk note
Publisher Copyright:© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.