1997/10/01 by Jianxin Zhong, J. X. Zhong, U. Grimm +5 · 2 citations
Materials Science · Physics and Astronomy · #Quantum chaos and dynamical systems #Quasicrystal Structures and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevlett.80.3996
published as Phys. Rev. Lett. 80, 3996 (1998) · 5 RevTeX pages including 3 EPS figures
arxiv created 1997/10/01 · openalex publication_date 1998/05/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study statistical properties of energy spectra of two-dimensional quasiperiodic tight-binding models. Taking into account the symmetries of models defined on various finite approximants of quasiperiodic tilings, we find that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble. Our data allow us to see the difference to the Wigner surmise. In particular, our result differs from the critical level-spacing distribution observed at the metal-insulator transition in the three-dimensional Anderson model of disorder.