Excitonic Strings in one dimensional organic compounds

Details Excitonic Strings in one dimensional organic compounds Excitonic Strings in one dimensional organic compounds

1999-11-11

arxiv.org/abs/cond-mat/9911160v1

Physics

Condensed Matter

36 pages, 4 eps figs. to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.4554

Important questions concern the existence of excitonic strings in organic compounds and their signatures in the photophysics of these systems. A model in terms of Hard Core Bosons is proposed to study this problem in one dimension. Mainly the cases with two and three particles are studied for finite and infinite lattices, where analytical results are accessible. It is shown that if bi-excitonic states exist, three-excitonic and even, n-excitonic strings, at least in a certain range of parameters, will exist. Moreover, the behaviour of the transitions from one exciton to the biexciton is fully clarified. The results are in agreement with exact finite cluster diagonalizations of several model Hamiltonians.

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