Energy Levels of Quasiperiodic Hamiltonians, Spectral Unfolding, and Random Matrix Theory

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dc.creatorSchreiber, Michael
dc.creatorGrimm, Uwe
dc.creatorRoemer, Rudolf A.
dc.creatorZhong, Jian-Xin
dc.date1998-11-25
dc.date.accessioned2026-07-07T03:12:11Z
dc.date.available2026-07-07T03:12:11Z
dc.descriptionWe consider a tight-binding Hamiltonian defined on the quasiperiodic Ammann-Beenker tiling. Although the density of states (DOS) is rather spiky, the integrated DOS 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. For energy intervals with approximately constant DOS, we find good agreement with the distribution of the Gaussian orthogonal random matrix ensemble (GOE) even without unfolding. For energy ranges with fluctuating DOS, we observe deviations from the GOE result. After unfolding, we always recover the GOE distribution.
dc.description6 pages, 4 figures, to appear in Comp. Phys. Commun
dc.identifierhttps://arxiv.org/abs/cond-mat/9811359
dc.identifierhttp://arxiv.org/abs/cond-mat/9811359
dc.identifierComp. Phys. Commun. 121-122 (1999) 499-501
dc.identifierdoi:10.1016/S0010-4655(99)00391-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28813
dc.subjectDisordered Systems and Neural Networks
dc.subjectMaterials Science
dc.titleEnergy Levels of Quasiperiodic Hamiltonians, Spectral Unfolding, and Random Matrix Theory
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