On the Self-Consistent Landauer–Büttiker Formalism

Horia D. Cornean; Giovanna Marcelli

doi:10.1007/s00220-024-05059-7

On the Self-Consistent Landauer–Büttiker Formalism

Horia D. Cornean, Giovanna Marcelli^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

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.

Original language	English
Article number	224
Journal	Communications in Mathematical Physics
Volume	405
Issue number	10
ISSN	0010-3616
DOIs	https://doi.org/10.1007/s00220-024-05059-7
Publication status	Published - Oct 2024

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

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10.1007/s00220-024-05059-7

https://arxiv.org/pdf/2309.01564

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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–B{\"u}ttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems.",

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AU - Marcelli, Giovanna

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N2 - 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.

AB - 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.

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On the Self-Consistent Landauer–Büttiker Formalism

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