On the steady state correlation functions of open interacting systems
Abstract
We address the existence of steady state Green-Keldysh correlation functions of interacting fermions in mesoscopic systems for both the partitioning and partition-free scenarios. Under some spectral assumptions on the non-interacting model and for sufficiently small interaction strength, we show that the system evolves to a NESS which does not depend on the profile of the time-dependent coupling strength/bias. For the partitioned setting we also show that the steady state is independent of the initial state of the inner sample. Closed formulae for the NESS two-point correlation functions (Green-Keldysh functions), in the form of a convergent expansion, are derived. In the partitioning approach, we show that the 0th order term in the interaction strength of the charge current leads to the Landauer-Buettiker formula, while the 1st order correction contains the mean-field (Hartree-Fock) results.
Keywords
Cite
@article{arxiv.1305.4410,
title = {On the steady state correlation functions of open interacting systems},
author = {Horia D. Cornean and Claude-Alain Pillet and Valeriu Moldoveanu},
journal= {arXiv preprint arXiv:1305.4410},
year = {2015}
}