Electron transport with dissipation: A quantum kinetic approach

Ralph Gebauer; Roberto Car

doi:10.1002/qua.20312

Electron transport with dissipation: A quantum kinetic approach

Ralph Gebauer, Roberto Car

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

7 Scopus citations

Abstract

We present a method for calculating electronic transport properties at the nanoscale. In this approach we describe the electron kinetics in the presence of an external field and of a heat bath. While the electric field accelerates the electrons, energy is dissipated as a result of interaction with the heat bath, allowing the system to reach steady state. The method is based on a Liouville master equation that constitutes a fully quantum generalization of the Boltzmann kinetic equation. As an example we report an application to transport through a double-barrier resonant tunneling structure.

Original language	English (US)
Pages (from-to)	564-571
Number of pages	8
Journal	International Journal of Quantum Chemistry
Volume	101
Issue number	5
DOIs	https://doi.org/10.1002/qua.20312
State	Published - Feb 15 2005

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Physical and Theoretical Chemistry

Keywords

Dissipation
Electron transport
Open quantum system
Quantum kinetics
Resonant tunneling

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10.1002/qua.20312

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abstract = "We present a method for calculating electronic transport properties at the nanoscale. In this approach we describe the electron kinetics in the presence of an external field and of a heat bath. While the electric field accelerates the electrons, energy is dissipated as a result of interaction with the heat bath, allowing the system to reach steady state. The method is based on a Liouville master equation that constitutes a fully quantum generalization of the Boltzmann kinetic equation. As an example we report an application to transport through a double-barrier resonant tunneling structure.",

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AU - Car, Roberto

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N2 - We present a method for calculating electronic transport properties at the nanoscale. In this approach we describe the electron kinetics in the presence of an external field and of a heat bath. While the electric field accelerates the electrons, energy is dissipated as a result of interaction with the heat bath, allowing the system to reach steady state. The method is based on a Liouville master equation that constitutes a fully quantum generalization of the Boltzmann kinetic equation. As an example we report an application to transport through a double-barrier resonant tunneling structure.

AB - We present a method for calculating electronic transport properties at the nanoscale. In this approach we describe the electron kinetics in the presence of an external field and of a heat bath. While the electric field accelerates the electrons, energy is dissipated as a result of interaction with the heat bath, allowing the system to reach steady state. The method is based on a Liouville master equation that constitutes a fully quantum generalization of the Boltzmann kinetic equation. As an example we report an application to transport through a double-barrier resonant tunneling structure.

KW - Dissipation

KW - Electron transport

KW - Open quantum system

KW - Quantum kinetics

KW - Resonant tunneling

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JO - International Journal of Quantum Chemistry

JF - International Journal of Quantum Chemistry

IS - 5

ER -

Electron transport with dissipation: A quantum kinetic approach

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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