P. Allegrini et al., SITE CORRELATION, ANOMALOUS DIFFUSION, AND ENHANCEMENT OF THE LOCALIZATION LENGTH, Physical review. B, Condensed matter, 54(17), 1996, pp. 11899-11902
Herein we study the effects on Anderson localization of correlations i
n the energy distribution of the sites of a tight-binding Hamiltonian.
The lattice correlations are introduced by means of classical maps ge
nerating anomalous diffusion, that have recently been found to account
for the correlated disorder of ''biological'' lattices. We show that
the enhancement of localization length takes place on a much wider ban
d of energies than in the case of the random-dimer model if the random
walk on the site energies of the tight-binding Hamiltonian is determi
ned by the joint action of short- and long-range correlations.