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Generalized Wigner Function Formulation for Quantum Systems with Open Boundaries

Authors
  • Zaccaria, Remo Proietti
  • Rossi, Fausto
Type
Preprint
Publication Date
Apr 30, 2002
Submission Date
Apr 30, 2002
Identifiers
arXiv ID: cond-mat/0204637
Source
arXiv
License
Unknown
External links

Abstract

A rigorous microscopic theory for the description of quantum-transport phenomena in systems with open boundaries is proposed. We shall show that the application of the conventional Wigner-function formalism to this problem leads to unphysical results, like injection of coherent electronic states from the contacts. To overcome such basic limitation, we propose a generalization of the standard Wigner-function formulation, able to properly describe the incoherent nature of carrier injection at the device spatial boundaries as well as the interplay between phase coherence and energy relaxation/dephasing within the device active region. The proposed theoretical scheme constitutes the first rigorous derivation of the phenomenological injection model commonly employed in the simulation of open quantum devices.

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