Abstract:Abstract:We perform a detailed numerical study of the localization properties of the eigenfunctions of one-dimensional (1D) tight-binding wires with on-site disorder characterized by long-tailed distributions: For large , P( ) ∼ 1/ 1+α with α ∈ (0, 2]; where are the on-site random energies. Our model serves as a generalization of 1D Lloyd's model, which corresponds to α = 1.In particular, we demonstrate that the information length β of the eigenfunctions follows the scaling law β = γx/(1 + γx), with x = ξ/L an… Show more
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