Effect of resonances on the transport properties of two-dimensional disordered systems

We study both analytically and numerically how the electronic structure and the transport properties of a two-dimensional disordered system are modifi ed in the presence of resonances. The energy dependence of the density of s tates and the localization length at different resonance energies and stren gths of coupling between resonances and random states are determined. The r esults show that at energy equal to the resonance energy there is an enhanc ement in the density of states. In contrast, the localization length remain s unaffected from the presence of the resonances and is similar to that of the standard Anderson model. Finally, we calculate the diffusion constant a s a function of energy and we reveal interesting analogies with experimenta l results on light scattering in the presence of Mie resonances.