The molecular origin of Frenkel biexciton binding

Frenkel excitons are primary photoexcitations in molecular semiconductors and are unequivocally responsible for their optical properties. However, the spectrum of corresponding biexcitons - bound exciton pairs - has not been resolved thus far in organic materials. We correlate the energy of two-quantum exciton resonances with that of the single-quantum transition by means of nonlinear coherent spectroscopy. Using a Frenkel exciton model, we relate the biexciton binding energy to the magnitude and the sign of the exciton-exciton interaction energy and the inter-site hopping energy, which are molecular parameters that can be quantified by quantum chemistry. Unexpectedly, excitons with interchain vibronic dispersion reveal intrachain biexciton correlations, and vice-versa. The details of biexciton correlations determine exciton bimolecular annihilation, which is ubiquitous in organic semiconductors. It is crucial to quantify these interactions in order to establish a quantum-mechanical basis for their rate constants. Our work enables new opportunities for general insights into the many-body electronic structure in molecular excitonic systems such as organic semiconductor crystals, molecular aggregates, photosynthetic light-harvesting complexes, and DNA.