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In this paper we present a model for the electronic excited states of $\pi$conjugated -acene molecules such as tetracene, pentacene, and hexacene. We usea simple Hubbard model with a limited basis to describe the low lyingexcitations with reasonable quantitative accuracy. We are able to producesemi-analytic wavefunctions for the electronic states of the system, whichallows us to compute the density correlation functions for various states suchas the ground state, the first two singly excited states, and the lowest lyingdoubly excited state. We show that in this lowest lying doubly excited state, astate speculated to play a role in the singlet fission process, the electronsand holes behave in a triplet-like manner. We also compute the two-photonabsorption of these -acenes, and show that per number density it is comparableto that of other organic molecules such as coronene andhexa-peri-hexabenzocoronene (HBC).

A Simple Hubbard Model for the Excited States of $\pi$ Conjugated -acene Molecules