Universal level-spacing statistics in quasiperiodic tight-binding models

Details Universal level-spacing statistics in quasiperiodic tight-binding models Universal level-spacing statistics in quasiperiodic tight-binding models

1999-08-04

arxiv.org/abs/cond-mat/9908063v1

Mat. Sci. Eng. A 294-296 (2000) 564-567

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 6 PostScript figures

Scientific paper

10.1016/S0921-5093(00)01173-4

We study statistical properties of the energy spectra of two-dimensional quasiperiodic tight-binding models. The multifractal nature of the eigenstates of these models is corroborated by the scaling of the participation numbers with the systems size. Hence one might have expected `critical' or `intermediate' statistics for the level-spacing distributions as observed at the metal-insulator transition in the three-dimensional Anderson model of disorder. However, our numerical results are in perfect agreement with the universal level-spacing distributions of the Gaussian orthogonal random matrix ensemble, including the distribution of spacings between second, third, and forth neighbour energy levels.

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