Phys. Rev. B 71, 245120 (2005) [7 pages]Critical level statistics of the Fibonacci modelReceived 8 October 2004; revised 10 March 2005; published 30 June 2005 We numerically analyze spectral properties of the Fibonacci model which is a one-dimensional quasiperiodic system. We find that the energy levels of this model have the distribution of the band widths w obeys PB(w)∼wα (w→0) and PB(w)∼e−βw (w→∞), the gap distribution PG(s)∼s−δ (s→0) (α,β,δ>0). We also compare the results with those of the multiscale Cantor sets. We find qualitative differences between the spectra of the Fibonacci model and the multiscale Cantor sets. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.71.245120
DOI:
10.1103/PhysRevB.71.245120
PACS:
71.23.Ft, 05.45.Pq, 05.70.Jk
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