Power dissipation in nanoscale conductors: classical, semi-classical and quantum dynamics

A.P. Horsfield, D.R. Bowler, A.J. Fisher, Tchavdar Todorov, Malachy Montgomery

Research output: Contribution to journalArticlepeer-review

69 Citations (Scopus)

Abstract

Modelling Joule heating is a difficult problem because of the need to introduce correct correlations between the motions of the ions and the electrons. In this paper we analyse three different models of current induced heating (a purely classical model, a fully quantum model and a hybrid model in which the electrons are treated quantum mechanically and the atoms are treated classically). We find that all three models allow for both heating and cooling processes in the presence of a current, and furthermore the purely classical and purely quantum models show remarkable agreement in the limit of high biases. However, the hybrid model in the Ehrenfest approximation tends to suppress heating. Analysis of the equations of motion reveals that this is a consequence of two things: the electrons are being treated as a continuous fluid and the atoms cannot undergo quantum fluctuations. A means for correcting this is suggested.
Original languageEnglish
Pages (from-to)3609-3622
Number of pages14
JournalJournal of Physics: Condensed Matter
Volume16
Issue number21
DOIs
Publication statusPublished - 02 May 2004

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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