Coherent potential approximation for spatially correlated disorder

Roland Zimmermann and Christoph Schindler
Phys. Rev. B 80, 144202 – Published 19 October 2009

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 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.

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  • Received 24 April 2009

DOI:https://doi.org/10.1103/PhysRevB.80.144202

©2009 American Physical Society

Authors & Affiliations

Roland Zimmermann1,* and Christoph Schindler1,2

  • 1Institut für Physik der Humboldt-Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany
  • 2Walter Schottky Institut, Technische Universität München, D-85748 Garching, Germany

  • *zim@physik.hu-berlin.de

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Issue

Vol. 80, Iss. 14 — 1 October 2009

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