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An exact-diagonalization study of rare events in disordered conductors

V. Uski·B. Mehlig·R. A. Römer·M. Schreiber
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Abstract

We determine the statistical properties of wave functions in disordered quantum systems by exact diagonalization of one-, two- and quasi-one dimensional tight-binding Hamiltonians. In the quasi-one dimensional case we find that the tails of the distribution of wave-function amplitudes are described by the non-linear sigma-model. In two dimensions, the tails of the distribution function are consistent with a recent prediction based on a direct optimal fluctuation method.

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V. Uski, B. Mehlig, R. A. Römer, M. Schreiber. 2000-05-23. An exact-diagonalization study of rare events in disordered conductors. https://doi.org/10.1103/physrevb.63.241101

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