Phys. Rev. B 80, 144202 (2009) [12 pages]Coherent potential approximation for spatially correlated disorderReceived 24 April 2009; revised 29 September 2009; published 19 October 2009 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 but leads to a momentum and frequency-dependent self-energy. 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.80.144202
DOI:
10.1103/PhysRevB.80.144202
PACS:
71.35.Cc, 72.80.Ng, 78.40.Pg, 78.20.Bh
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