Electron transport with dissipation: A quantum kinetic approach

Ralph Gebauer, Roberto Car

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)564-571
Number of pages8
JournalInternational Journal of Quantum Chemistry
Issue number5
StatePublished - Feb 15 2005

All Science Journal Classification (ASJC) codes

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


  • Dissipation
  • Electron transport
  • Open quantum system
  • Quantum kinetics
  • Resonant tunneling


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