title: Critical quantum chaos and the one-dimensional harper model.
abstract: We obtain numerically a scale-invariant distribution of the bandwidths S for the critical Harper model, which is closely described by a semi-Poisson P(S)=4Sexp(-2S) curve. After a suitable unfolding of spectra, derived from different boundary conditions, a semi-Poisson level spacing distribution and a sub-Poisson linear number variance are deduced from the bandwidth distribution. The obtained results support possible universality of the critical spectral statistics and suggest its connection to spectral multifractality.
authors.affiliation: Department of Physics, University of Ioannina, Ioannina 45 110, Greece.
authors.forename: S N
authors.initials: SN
authors.lastname: Evangelou
authors.forename: J L
authors.initials: JL
authors.lastname: Pichard