B. Elattari et T. Kottos, Effect of resonances on the transport properties of two-dimensional disordered systems, PHYS REV B, 62(15), 2000, pp. 9880-9883
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.