27–30 mai 2024
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

On the self-consistent Landauer-Büttiker formalism

27 mai 2024, 15:00
55m
Amphithéatre Schwartz (Institut de Mathématiques de Toulouse)

Amphithéatre Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier 118, route de Narbonne - Bat. 1R3 31062 Toulouse Cedex 9

Orateur

Giovanna Marcelli (Università di Roma Tre)

Description

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. This is a joint work with Horia D. Cornean https://arxiv.org/abs/2309.01564.

Documents de présentation

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