Theory of Electronic Transport in Disordered Binary Alloys: Coherent-Potential Approximation
- 15 August 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 184 (3), 614-627
- https://doi.org/10.1103/physrev.184.614
Abstract
The coherent-potential approximation (CPA) for single-particle properties of electrons in a disordered alloy (Soven and others) is extended to complex admittances. The one-electron Kubo formula is used. The CPA is viewed as a single-site decoupling of the averaged multiple-scattering expansion. It properly gives the exact formulas in the limits of weak scattering (Edwards) and of dilute alloys (Langer). For any and any random-potential strength, CPA satisfies a number of physical conditions, including energy and particle-number conservation. The CPA equations are exactly soluble for a single-band model with short-ranged random scatterers. The vertex corrections are related to the response of local densities to a given disturbance. For the electrical conductivity , they vanish. Variation of with the randompotential strength is studied numerically. A low-mobility region appears well before the band splits. In the split-band limit, CPA yields a reasonable finite in the host band, but it fails in the impurity band.
Keywords
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