Abstract
We consider the application of the effective-medium approximation (EMA) to the muffin-tin model of a liquid metal. The spherical symmetry of the average liquid is used to reduce the momentum (k)-dependent self-consistency requirements of the theory to a form in which they involve one-dimensional rather than three-dimensional integrations. We also show that, within the EMA, a closed expression for the integrated density of states can be derived, and that this expression provides a useful check on the convergence of the self-consistent equations. The theory is applied to liquid Cu. The self-consistent equations converge without difficulty and the resulting electronic spectrum is in substantial agreement with recent photoemission data. Our results are compared with an alternate approach to the muffin-tin EMA suggested by Asano and Yonezawa. The two approaches yield similar densities of states but markedly different behavior for the special functions.
Keywords
muffin-tin model, liquid Cu, liquid copper, effective-medium approximation, spherical symmetry
Subject Categories
Liquid metals, Symmetry (Physics)
Disciplines
Physics
Publisher
American Physical Society
Publication Date
8-15-1981
Rights Information
Copyright 1981 American Physical Society.
Rights Holder
American Physical Society
Recommended Citation
Huisman, L.; Nicholson, D.; Schwartz, L.; and Bansil, A., "effective-medium theory of electronic states in structurally disordered metals: Application to liquid Cu" (1981). Physics Faculty Publications. Paper 368.
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Notes
Originally published in Physical Review B v.24 (1981): 1824-1834. DOI: 10.1103/PhysRevB.24.1824