Global Delocalization Transition in the de Moura-Lyra Model

16 May 2019 Pires J. P. Santos Khan N. A. Lopes J. M. Viana Parente Santos J. M. B. Lopes dos

The possibility of having a delocalization transition in the 1D de Moura-Lyra class of models (having a power-spectrum $\propto q^{-\alpha})$ has been the object of a long standing discussion in the literature, filled with ambiguities. In this letter, we report the first numerical evidences that such a transition happens at $\alpha=1$, where the localization length (measured from the scaling of the conductance) is shown to diverge as $(1-\alpha)^{-1}$... (read more)

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  • DISORDERED SYSTEMS AND NEURAL NETWORKS