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Updated: Jun 5, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
Excitons in molecular aggregates with Lévy-type disorder: anomalous localization and exchange broadening of optical
A Eisfeld1, S M Vlaming, V A Malyshev
1Max Planck Institute for Physics of Complex Systems, Dresden, Germany.
Abstract:
We predict the existence of exchange broadening of optical line shapes in disordered molecular aggregates and a nonuniversal disorder scaling of the localization characteristics of the collective electronic excitations (excitons). These phenomena occur for heavy-tailed Lévy disorder distributions with divergent second moments-distributions that play a role in many branches of physics. Our results sharply contrast with aggregate models commonly analyzed, where the second moment is finite. They bear a relevance for other types of collective excitations as well.
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