Nonequilibrium Mesoscopic Conductors Driven by Reservoirs
Abstract
In order to specify a nonequilibrium steady state of a quantum wire (QWR), one must connect reservoirs to it. Since reservoirs should be large 2d or 3d systems, the total system is a large and inhomogeneous 2d or 3d system, in which e-e interactions have the same strength in all regions. However, most theories of interacting electrons in QWR considered simplified 1d models, in which reservoirs are absent or replaced with noninteracting 1d leads. We first discuss fundamental problems of such theories in view of nonequilibrium statistical mechanics. We then present formulations which are free from such difficulties, and discuss what is going on in mesoscopic systems in nonequilibrium steady state. In particular, we point out important roles of energy corrections and non-mechanical forces, which are induced by a finite current.
Cite
@article{arxiv.cond-mat/9911333,
title = {Nonequilibrium Mesoscopic Conductors Driven by Reservoirs},
author = {Akira Shimizu and Hiroaki Kato},
journal= {arXiv preprint arXiv:cond-mat/9911333},
year = {2016}
}
Comments
14 pages, 4 figures Proc. 219th Int. WEH Workshop in Hamburg, Germany, 1999