The effect of disorder on the electronic states in some model systems
- 21 January 1974
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 7 (2) , 289-298
- https://doi.org/10.1088/0022-3719/7/2/009
Abstract
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.Keywords
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