Optical line shape of molecular rings: Influence of correlated nondiagonal disorder

We investigate the optical properties of molecular rings which are generally influenced by many kinds of static disorder. Recently, Papiz suggested that quasistatic disorder, anticorrelated between neighboring transfer integrals, plays an important role. We simulate such a disorder by slow colored dichotomic Markov processes with long-time constants for the decay of their correlation functions. The colored dichotomic Markov processes leading to transfer integral fluctuations can be uncorrelated, anticorrelated or partially correlated between nearest neighboring transfer integrals in the ring. The optical line shape of the molecular ring is modeled and investigated in dependence on the parameters of the stochastic processes. Conclusions as regards the influence of the correlation on the splitting of the optical line shape, the shift of the optical absorption maximum and the width of the optical line are drawn.