Application of random matrix theory to quasiperiodic systems

Details Application of random matrix theory to quasiperiodic systems Application of random matrix theory to quasiperiodic systems

1998-09-28

arxiv.org/abs/cond-mat/9809370v1

Physica A 266, 477-480 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

proceedings of "Percolation98", 5 Elsart pages with 5 figures, to be published in Physica A

Scientific paper

We study statistical properties of energy spectra of a tight-binding model on the two-dimensional quasiperiodic Ammann-Beenker tiling. Taking into account the symmetries of finite approximants, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus differs from the critical level-spacing distribution observed at the metal-insulator transition in the three-dimensional Anderson model of disorder. Our data allow us to see the difference to the Wigner surmise.

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