Coherent potential approximation for spatially correlated disorder
arXiv:0904.3972 · doi:10.1103/PhysRevB.80.144202
Abstract
The coherent potential approximation (CPA) is extended to describe satisfactorily the motion of particles in a random potential which is spatially correlated and smoothly varying. In contrast to existing cluster-CPA methods, the present scheme preserves the simplicity of the conventional CPA in using a single self-energy function. Its accuracy is checked by a comparison with the exact moments of the Green's function, and with the spectral function from numerical simulations. The scheme is applied to excitonic absorption spectra in different spatial dimensions.
11 pages, 7 figures. Appendix A and Fig. 8 added
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