Anomalous scaling properties of optical excitations in random media

The eigenstates of small radius molecular excitations, coupled by the resonant dipole-dipole interaction, are examined for a system of random resonant centers. Anomalous scaling properties are seen even in the absence of external disordering, i.e. their properties are intermediate between localized and `true' delocalized states. The effective transport properties of excitations can be described in terms of anomalous diffusion, with a distance dependent diffusion coefficient scaling as D to approximately 1/R. This anomalous behavior agrees with our simulation of boundary quenching of excitons and with the related experiment on organic light emitting diodes (OLEDs).