On the Self-Consistent Landauer–Büttiker Formalism

Horia D. Cornean, Giovanna Marcelli*

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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.

OriginalsprogEngelsk
Artikelnummer224
TidsskriftCommunications in Mathematical Physics
Vol/bind405
Udgave nummer10
ISSN0010-3616
DOI
StatusUdgivet - okt. 2024

Bibliografisk note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

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