Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

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

doi:10.1007/s10825-006-0062-1

Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

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

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	117-120
Number of pages	4
Journal	Journal of Computational Electronics
Volume	6
Issue number	1-3
DOIs	https://doi.org/10.1007/s10825-006-0062-1
State	Published - Sep 2007

Keywords

Quantum entropy principles
Wigner-Boltzmann equations

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Modeling and Simulation
Electrical and Electronic Engineering

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10.1007/s10825-006-0062-1

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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.",

keywords = "Quantum entropy principles, Wigner-Boltzmann equations",

author = "Bourgade, {J. P.} and P. Degond and N. Mauser and Christian Ringhofer",

note = "Funding Information: Acknowledgment This work was supported by NSF-ECS grant Nr. 021-8008, FWF START project Y-137-TEC and the Wolfgang Pauli Institute, Vienna, Austria.",

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doi = "10.1007/s10825-006-0062-1",

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AU - Bourgade, J. P.

AU - Degond, P.

AU - Mauser, N.

AU - Ringhofer, Christian

N1 - Funding Information: Acknowledgment This work was supported by NSF-ECS grant Nr. 021-8008, FWF START project Y-137-TEC and the Wolfgang Pauli Institute, Vienna, Austria.

PY - 2007/9

Y1 - 2007/9

N2 - 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.

AB - 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.

KW - Quantum entropy principles

KW - Wigner-Boltzmann equations

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JF - Journal of Computational Electronics

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ER -

Quantum corrections to semiclassical transport in nanoscale devices using entropy principles

Abstract

Keywords

ASJC Scopus subject areas

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