Coherent potential approximation for spatially correlated disorder
Disordered Systems and Neural Networks
2009-10-20 v2 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.0904.3972,
title = {Coherent potential approximation for spatially correlated disorder},
author = {Roland Zimmermann and Christoph Schindler},
journal= {arXiv preprint arXiv:0904.3972},
year = {2009}
}
Comments
11 pages, 7 figures. Appendix A and Fig. 8 added