Simple model for density of states and mobility of an electron in a gas of hard-core scatterers

Thomas P. Eggarter, Morrel H. Cohen

Research output: Contribution to journalArticle

124 Scopus citations

Abstract

We give a semiquantitative model for the density of states and transport properties of an electron in a system of randomly located hard-core scatterers. Our main results are these: (a) The density of states has the usual square-root behavior for high energies and a tail of localized states at the low-energy end; the energy at which the transition occurs is computed from percolation theory. (b) For a fixed temperature the fraction of electrons in localized states increases drastically with the density of scatterers above a critical density. Thus, our model provides a physical explanation for the mobility transition found by Neustadter and Coopersmith.

Original languageEnglish (US)
Pages (from-to)807-810
Number of pages4
JournalPhysical review letters
Volume25
Issue number12
DOIs
StatePublished - Jan 1 1970
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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