Hamiltonian map approach to resonant states in paired correlated binary alloys

The origin of resonant states in tight-binding models with correlated disorder is analyzed using an approach based on classical Hamiltonian maps. In this method, extended states correspond to bounded trajectories in the phase space of a parametrically excited linear oscillator, where the external force corresponds to the site potential of the original model. We pay particular attention to the nearly resonant states of the random dimer model. We also discuss the case of a general N-mer model.