Session Y26: General Theory / Computational Physics I
8:00 AM–11:00 AM, Friday, March 2, 2012
Room: 257B
Sponsoring Unit:
DCOMP
Chair: Amy Bug, Swarthmore College
Abstract ID: BAPS.2012.MAR.Y26.6
Abstract: Y26.00006 : Exponential tails near the band edges of a one-dimensional disordered exciton system in the Coherent Potential Approximation
9:00 AM–9:12 AM
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Abstract 
Authors:
Abdelkrim Boukahil
(Physics Department, University of Wisconsin-Whitewater)
Nouredine Zettili
(Deprtment of Physical and Earth Sciences, Jacksonville State University, 700 Pelham Road North, Jacksonville, AL 36265, USA)
David Huber
(Physics Department, University of Wisconsin-Madison, Madison, WI 53706, USA)
We report the results of studies of the tails near the band edges of a one-dimensional Frenkel exciton system in the Coherent Potential Approximation (CPA). A Gaussian distribution of the transition frequencies with rms width $\sigma $ (0.1 $\le \sigma \le $ 2.0) is used. We found that the tails obey two different exponential power laws depending on the value of $\sigma $. In the weak disorder limit 0.1 $\le \sigma <$ 0.5, the tails of the absorption line shape and the density of states behave like $exp(-k|E|^{3/2} / \sigma^2)$, and in the strong disorder limit,\textit{0.5 $< \sigma \le $ 2.0}, the tails behave like $exp(-|E|^2 / \sigma^2)$. In the weak disorder limit, our CPA results are in excellent agreement with previous investigations.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.Y26.6