Current-constraining variational approaches to quantum transport

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Presently, the main methods for describing a non-equilibrium charge-transporting steady state are based on time-evolving it from the initial zero-current situation. An alternative class of theories would give the statistical non-equilibrium density operator from principles of statistical mechanics, in a spirit close to Gibbs ensembles for equilibrium systems, leading to a variational principle for the non-equilibrium steady state. We discuss the existing attempts to achieve this using the maximum entropy principle based on constraining the average current. We show that the current-constrained theories result in a zero induced drop in electrostatic potential, so that such ensembles cannot correspond to the time-evolved density matrix, unless left- and right-going scattering states are mutually incoherent.
23 pages

Keywords

Materials Science, Mesoscale and Nanoscale Physics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/95783

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0507448
 http://arxiv.org/abs/cond-mat/0507448
 Phys. Rev. B 72, 165425 (2005).
 doi:10.1103/PhysRevB.72.165425

Collections

arXiv