Energy Spectra and Eigenstates of Quasiperiodic Tight–Binding Hamiltonians
نویسندگان
چکیده
منابع مشابه
Universal level-spacing statistics in quasiperiodic tight-binding models
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 trans...
متن کامل0 . 1 Energy spectra and eigenstates of quasiperiodic tight - binding Hamiltonians
Among the physical properties of quasicrystals [1], their transport properties, such as the electric conductivity, have attracted particular attention. Over the past decades, a lot of experimental and theoretical effort has been spent on the investigation and explanation of transport anomalies in quasicrystals, see [2, 3, 4] for recent collections of review articles and [5] for further referenc...
متن کاملEnergy Levels of Quasiperiodic Hamiltonians, Spectral Unfolding, and Random Matrix Theory
We consider a tight-binding Hamiltonian defined on the quasiperiodic Ammann-Beenker tiling. Although the density of states (DOS) is rather spiky, the integrated DOS (IDOS) is quite smooth and can be used to perform spectral unfolding. The effect of unfolding on the integrated level-spacing distribution is investigated for various parts of the spectrum which show different behaviour of the DOS. ...
متن کاملEnergy Levels of Quasiperiodic Hamiltonians , Spectral Unfolding , and Random Matrix
We consider a tight-binding Hamiltonian deened on the quasiperi-odic Ammann-Beenker tiling. Although the density of states (DOS) is rather spiky, the integrated DOS (IDOS) is quite smooth and can be used to perform spectral unfolding. The eeect of unfolding on the integrated level-spacing distribution is investigated for various parts of the spectrum which show diierent behaviour of the DOS. Fo...
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Using the forced oscillator method (FOM) and the transfer-matrix technique, we numerically investigate the nature of the phonon states and the wave propagation, in the presence of an external force, in the chains composed of Fibonacci lattices of type site, bond and mixing models, as the quasiperiodic systems. Calculating the Lyapunov exponent and the participation ratio, we also study the lo...
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تاریخ انتشار 2003