Quantized conductance without reservoirs : method of the nonequilibrium statistical operatorQuantized conductance without reservoirs : method of the nonequilibrium statistical operator
Faculty of Sciences. Physics

Condensed Matter Theory

article

2007, 2007

Physics

Journal of computational electronics. -

6(2007):1/3, p. 255-258

1569-8025

E

English (eng)

University of Antwerp

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.