On the equivalence of configurational averaging formalisms in the CPA: two-particle properties
- 21 October 1975
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 8 (20) , 3317-3327
- https://doi.org/10.1088/0022-3719/8/20/009
Abstract
Using a Ward identity, the equivalence of conventional configurational averaging techniques and a recently developed 'expended space' approach is established within the coherent potential approximation for two-particle properties of a simple model Hamiltonian (arbitrary cellular disorder). It is confirmed that the CPA does not predict Anderson localization on any Cayley tree cactus, although it preserves a degree of anomalous behaviour in the one-dimensional lattice and generally produces vertex corrections that are systematically sensitive to average fluctuations.Keywords
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