On the Self-Consistent Landauer–Büttiker Formalism

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 st...

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Bibliographic Details
Published in:Communications in mathematical physics 2024-10, Vol.405 (10), Article 224
Main Authors: Cornean, Horia D., Marcelli, Giovanna
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Open systems
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-024-05059-7