Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buettiker formula - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2008

Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buettiker formula

Résumé

Consider a three dimensional system which looks like a cross-connected pipe system, i.e. a small sample coupled to a finite number of leads. We investigate the current running through this system, in the linear response regime, when we adiabatically turn on an electrical bias between leads. The main technical tool is the use of a finite volume regularization, which allows us to define the current coming out of a lead as the time derivative of its charge. We finally prove that in virtually all physically interesting situations, the conductivity tensor is given by a Landauer-B{ü}ttiker type formula.

Dates et versions

hal-00176020 , version 1 (02-10-2007)

Identifiants

Citer

Horia D. Cornean, Pierre Duclos, Gheorghe Nenciu, Radu Purice. Adiabatically switched-on electrical bias in continuous systems, and the Landauer-Buettiker formula. Journal of Mathematical Physics, 2008, 49 (10). ⟨hal-00176020⟩
31 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More