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arXiv · 2309.01564

On the self-consistent Landauer-B\"uttiker 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-B\"uttiker-like formulas, and make the connection with the case of weakly self-interacting many-body systems.

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Horia D. Cornean, Giovanna Marcelli. 2023-09-04. On the self-consistent Landauer-B\"uttiker formalism. https://doi.org/10.1007/s00220-024-05059-7

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