Volume 74, Number 6, June 2006
|Page(s)||1060 - 1066|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||12 May 2006|
Quantum-transport simulations with the Wigner-function formalism: Failure of conventional boundary-condition schemes
Dipartimento di Fisica, Politecnico di Torino - 10129 Torino, Italy
2 Dipartimento di Matematica, Università di Torino - 10123 Torino, Italy
3 Dipartimento di Fisica e Sez. INFN, Università di Roma “Tor Vergata” 00133 Roma, Italy
Corresponding author: Fausto.Rossi@PoliTo.It
Accepted: 13 April 2006
We shall revisit the conventional treatment of open quantum devices based on the Wigner-Function formalism. Our analysis will show that the artificial spatial separation between device active region and external reservoirs —properly defined within a semiclassical simulation scheme— is intrinsically incompatible with the non-local character of quantum mechanics. More specifically, by means of an exactly-solvable semiconductor model, we shall show that the application of the conventional boundary-condition scheme to the Wigner transport equation may produce highly non-physical results, like thermal injection of coherent state superpositions and boundary-driven negative probability distributions.
PACS: 72.10.Bg – General formulation of transport theory / 85.30.-z – Semiconductor devices / 73.40.-c – Electronic transport in interface structure
© EDP Sciences, 2006
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