Hopping-to-band transitions in disordered electronic systems

Qing Zhang, Philip W Phillips

Research output: Contribution to journalArticlepeer-review


We investigate the effect polaron formation has on the transport of an electron among a band of tight binding sites interacting with a thermal bath of phonons. At T = 0 we show that interactions with phonons stabilize Anderson localized states by the formation of self-trapped species. A localization criterion is then derived which defines the strength of the transfer matrix element needed for given values of the site energy disorder and the phonon coupling to destroy the stability of the self-trapped states. The Anderson upper limit criterion is recovered in the limit that the phonon coupling vanishes. The conductivity is then calculated as a function of the site energy disorder if using small polaron theory. A hopping-to-band transition is shown to exist for small values of W at a temperature ∼ 1/9 θD (the Debye temperature). Thermally activated Arrenhius behavior and variable range hopping obtain in the hopping regime. The conductivity in the metallic or low temperature regime vanishes as W-1. The relation to Mooij correlations is discussed.

Original languageEnglish (US)
Pages (from-to)2370-2376
Number of pages7
JournalThe Journal of Chemical Physics
Issue number4
StatePublished - 1987
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry


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