Spectral function distributions in the correlated Anderson model

We report numerical calculations of the probability distribution of a single-particle spectral function of a non-interacting one-dimensional tight-binding chain with power-law correlated disorder. For the numerical computations of the spectral function, we employ a highly efficient and very stable algorithm-Kernel Polynomial Method-which has O(������) numerical complexity. We find a universal and highly asymmetric distribution of the spectral function in the vicinity of the metal-insulator transition at the band center. Moreover, the distributions show a Gaussian nature deeply in the localized regime and a log-normal behavior in the delocalized regime.