Abstract
The one- and two-exciton manifolds of conjugated dendrimers possessing fractal geometries are studied using the Frenkel exciton model. Two-photon spectra can be used to determine both the magnitude and the sign of short-range coupling among segments. Self-similarity and the high degree of symmetry make it possible to compute the one-exciton states and the optical response with reduced numerical effort that scales linearly rather than exponentially with the number of generations. The third-order optical response and exciton scattering matrix are expressed in compact forms using irreducible representation of optical excitations, totally avoiding the expensive explicit calculation of two-exciton eigenstates.
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Chernyak, V., Poliakov, E.Y., Tretiak, S. et al. Localized Optical Excitations and Two-Exciton Spectroscopy of Phenylacetylene Dendrimers. MRS Online Proceedings Library 543, 327–338 (1998). https://doi.org/10.1557/PROC-543-327
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DOI: https://doi.org/10.1557/PROC-543-327