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00925njm 22002777a 4500 dc Rodriguez, A. author Martín-Delgado Alcántara, Miguel Ángel author Rodriguez-Laguna, J. author Sierra, G. author Malyshev, Andrey author Domínguez-Adame Acosta, Francisco author Lemaistre, I. J. author 2001-12 The standard one-parameter scaling theory predicts that all eigenstates in two-dimensional random lattices are weakly localized. We show that this claim fails in two-dimensional dipolar Frenkel exciton systems. The linear energy dispersion at the top of the exciton band, originating from the long-range inter-site coupling of dipolar nature, yields the same size-scaling law for the level spacing and the effective disorder seen by the exciton. This finally results in the delocalization of those eigenstates in the thermodynamic limit. Large scale numerical simulations allow us to perform a detailed multifractal analysis and to elucidate the nature of the excitonic eigenstates. 0022-2313 10.1016/S0022-2313(01)00302-7 https://hdl.handle.net/20.500.14352/59351 http://dx.doi.org/10.1016/S0022-2313(01)00302-7 http://www.sciencedirect.com/ http://arxiv.org/abs/cond-mat/0201535 Absence of weak localization in two-dimensional disordered Frenkel lattices