Localization in a random array of atoms
- 28 August 1976
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 9 (16) , 3087-3094
- https://doi.org/10.1088/0022-3719/9/16/014
Abstract
The localization of a non-interacting electrons is studied for systems in which the atomic sites are taken to be completely randomly distributed in space. The method used is based on weak-scattering arguments in tight-binding s and p bands in which the product of wavevector k and mean free path L is calculated. The criterion for the onset of localization is taken as the limit kL equals unity and estimates of the densities at which all states are localized are made for a particular model. The results are compared with Kikuchi's numerical calculations.Keywords
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