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Rigorous proof for analyticity of the homomorphic cluster coherent potential approximation

Authors
Journal
Solid State Communications
0038-1098
Publisher
Elsevier
Publication Date
Volume
27
Issue
11
Identifiers
DOI: 10.1016/0038-1098(78)91143-2

Abstract

Abstract We rigorously prove that the homomorphic coherent potential approximation (HCPA) is analytic. Along a way analogous to the proof for the analyticity of the molecular coherent potential approximation by Ducastelle, we show the HCPA always provides a physical solution for the average Green's function which satisfies (i) the reality, (ii) definiteness, (iii) analyticity and (iv) boundary conditions.

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