Two-exciton states and spectroscopy of phenylacetylene dendrimers

Vladimir Chernyak, Evgeni Y. Poliakov, Sergei Tretiak, Shaul Mukamel

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)

Abstract

The two-exciton wave functions of conjugated dendrimers with fractal geometries are calculated using the Frenkel-exciton model. Self-similarity and the high degree of symmetry make it possible to express the two-photon spectra of these chromophore aggregates in a compact form using irreducible representations of optical excitations, single-exciton states, and an effective two-exciton transition dipole moment. The explicit calculation of the complete manifold of two-exciton states which involves an expensive l3xl3 diagonalization, l being number of generations, is totally avoided. A real space analysis shows that the two-exciton states and resonances are dominated by periphery chromophores due to their exponentially large number.

Original languageEnglish
Pages (from-to)4158-4168
Number of pages11
JournalJournal of Chemical Physics
Volume111
Issue number9
DOIs
Publication statusPublished - 1 Sep 1999
Externally publishedYes

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