Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

J. P. Bourgade, P. Degond, N. Mauser, Christian Ringhofer

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)117-120
Number of pages4
JournalJournal of Computational Electronics
Volume6
Issue number1-3
DOIs
StatePublished - Sep 2007

Fingerprint

Boltzmann equation
Entropy
Thermodynamics
entropy
operators
potential gradients
Fermi's Golden Rule
thermodynamics
collisions
Operator
Boltzmann Equation
Transport Equation
Collision
Gradient

Keywords

  • Quantum entropy principles
  • Wigner-Boltzmann equations

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering

Cite this

Quantum corrections to semiclassical transport in nanoscale devices using entropy principles. / Bourgade, J. P.; Degond, P.; Mauser, N.; Ringhofer, Christian.

In: Journal of Computational Electronics, Vol. 6, No. 1-3, 09.2007, p. 117-120.

Research output: Contribution to journalArticle

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