Application of random matrix theory to quasiperiodic systems
نویسندگان
چکیده
منابع مشابه
Application of random matrix theory to quasiperiodic systems
We study statistical properties of energy spectra of a tight-binding model on the twodimensional 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 m...
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متن کاملApplication of random matrix theory toquasiperiodic
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 nite approximants, we nd that the underlying universal level-spacing distribution is given by the Gaussian orthogonal random matrix ensemble, and thus diiers from the critical level-spacing distribution observed at the metal...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 1999
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(98)00634-7