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Advances in Condensed Matter Physics
Volume 2017 (2017), Article ID 3836204, 5 pages
Research Article

Absorption Spectrum and Density of States of Square, Rectangular, and Triangular Frenkel Exciton Systems with Gaussian Diagonal Disorder

1Department of Electrical and Electronic Engineering, Ege University, Bornova, 3500 Izmir, Turkey
2Physics Department, University of Wisconsin-Madison, Madison, WI 53706, USA

Correspondence should be addressed to David Huber

Received 17 March 2017; Revised 10 July 2017; Accepted 16 July 2017; Published 14 August 2017

Academic Editor: Oleg Derzhko

Copyright © 2017 Ibrahim Avgin and David Huber. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using the coherent potential approximation, we investigate the effects of disorder on the optical absorption and the density of states of Frenkel exciton systems on square, rectangular, and triangular lattices with nearest-neighbor interactions and a Gaussian distribution of transition energies. The analysis is based on an elliptic integral approach that gives results over the entire spectrum. The results for the square lattice are in good agreement with the finite-array calculations of Schreiber and Toyozawa. Our findings suggest that the coherent potential approximation can be useful in interpreting the optical properties of two-dimensional systems with dominant nearest-neighbor interactions and Gaussian diagonal disorder provided the optically active states are Frenkel excitons.