MAJORITY REPRESENTATION OF ALLOY ELECTRONIC STATES

Despite the lack of translational symmetry in random substitutional al loys, their description in terms of single Bloch states has been used in most phenomenological models and spectroscopic practices. We presen t a new way of analyzing the alloy electronic structures based on a '' majority representation'' phenomenon of the reciprocal space spectrum P(k) of the wave function. This analysis provides a quantitative answe r to the questions: When can an alloy state be classified according to the crystal Bloch state symmetry, and under what circumstances are th e conventional theoretical alloy models applicable.