Title
Quantized conductance without reservoirs : method of the nonequilibrium statistical operator
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
,
Subject
Physics
Source (journal)
Journal of computational electronics. - Place of publication unknown
Volume/pages
6(2007) :1/3 , p. 255-258
ISSN
1569-8025
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
We introduce a generalized non-equilibrium statistical operator (NSO) to study a current-carrying system. The NSO is used to derive a set of quantum kinetic equations based on quantum mechanical balance equations. The quantum kinetic equations are solved self-consistently together with Poissons equation to solve a general transport problem. We show that these kinetic equations can be used to rederive the Landauer formula for the conductance of a quantum point contact, without any reference to reservoirs at different chemical potentials. Instead, energy dissipation is taken into account explicitly through the electron-phonon interaction. We find that both elastic and inelastic scattering are necessary to obtain the Landauer conductance.
Handle