Quantum dynamics in two and three-dimensional quasiperiodic tilings

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We investigate the properties of electronic states in two and three-dimensional quasiperiodic structures: the generalized Rauzy tilings. Exact diagonalizations, limited to clusters with a few thousands sites, suggest that eigenstates are critical and more extended at the band edges than at the band center. These trends are clearly confirmed when we compute the spreading of energy-filtered wavepackets, using a new algorithm which allows to treat systems of about one million sites. The present approach to quantum dynamics, which gives also access to the low frequency conductivity, opens new perspectives in the analyzis of two and three-dimensional models.
4 pages, 8 EPS figures

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/99353

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0111577
 http://arxiv.org/abs/cond-mat/0111577
 Phys. Rev. B 65, 220202 (2002)
 doi:10.1103/PhysRevB.65.220202

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arXiv