Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

We derive a modification of the semiclassical Fermi Golden Rule collision operator based on quantum thermodynamic principles. The resulting operator is nonlocal in space and acknowledges the presence of steep potential gradients and potential barriers. The resulting quantum mechanical transport equa...

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Bibliographic Details
Published in:Journal of computational electronics 2007-09, Vol.6 (1-3), p.117-120
Main Authors: Bourgade, J. P., Degond, P., Mauser, N., Ringhofer, C.
Format: Article
Language:English
Subjects:
Boltzmann transport equation
Entropy
Nanotechnology devices
Potential gradient
Principles
Quantum mechanics
Transport equations
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Summary:We derive a modification of the semiclassical Fermi Golden Rule collision operator based on quantum thermodynamic principles. The resulting operator is nonlocal in space and acknowledges the presence of steep potential gradients and potential barriers. The resulting quantum mechanical transport equation—the Wigner quantum Boltzmann equation—increases the corresponding quantum mechanical entropy and is therefore well posed.
ISSN:1569-8025
1572-8137
DOI:10.1007/s10825-006-0062-1