Quantum dynamics in two and three-dimensional quasiperiodic tilings

Details Quantum dynamics in two and three-dimensional quasiperiodic tilings Quantum dynamics in two and three-dimensional quasiperiodic tilings

2001-11-30

arxiv.org/abs/cond-mat/0111577v1

Phys. Rev. B 65, 220202 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 8 EPS figures

Scientific paper

10.1103/PhysRevB.65.220202

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.

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