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In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for  α  &gt; 1 and a localization length which diverges as  ξ ∝  (1 –  α ) –1  for  α  → 1 – , at all energies in the weak disorder limit (as previously seen in [12]).

Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method