Coherent potential approximation for spatially correlated disorder

Details Coherent potential approximation for spatially correlated disorder Coherent potential approximation for spatially correlated disorder

2009-04-25

arxiv.org/abs/0904.3972v2

Phys. Rev. B 80 (2009) 144202

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 7 figures. Appendix A and Fig. 8 added

Scientific paper

10.1103/PhysRevB.80.144202

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.

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