The effect of disorder on the electronic states in some model systems

A. Bergmann, V. Halpern

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A system is considered for which the diagonal matrix elements of the hamiltonian with respect to a basis of localized orbitals are fixed, while the nearest-neighbour off-diagonal elements are a random variable with a given continuous probability distribution. The spatial average of the system's Green's function is calculated by means of a two-site extension of the coherent potential approximation in which the self-energy has both diagonal and off-diagonal elements. The density of states and spectral density are calculated for various amounts of disorder, and the mean lifetimes of the quasi-particle Bloch states are derived from the latter.

Original languageEnglish
Article number009
Pages (from-to)289-298
Number of pages10
JournalJournal of Physics C: Solid State Physics
Issue number2
StatePublished - 1974


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