Localization in disordered materials: Existence of mobility edges

E. N. Economou, Morrel H. Cohen

Research output: Contribution to journalArticle

73 Scopus citations

Abstract

Anderson's theory of localization in disordered systems is extended. It is shown that mobility edges exist, in agreement with the Mott-Cohen-Fritzsche- Ovshinsky model. As the randomness increases, the mobility edges move inwards into the band, and their coincidence is termed Anderson's transition. A criterion is developed restricting the energy regions where mobility edges can be found; explicit results are obtained for a Lorentzian distribution of single-site energies.

Original languageEnglish (US)
Pages (from-to)1445-1448
Number of pages4
JournalPhysical review letters
Volume25
Issue number20
DOIs
StatePublished - Jan 1 1970
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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