Analytical Results for Multifractal Properties of Spectra of Quasiperiodic Hamiltonians near the Periodic Chain

Details Analytical Results for Multifractal Properties of Spectra of Quasiperiodic Hamiltonians near the Periodic Chain Analytical Results for Multifractal Properties of Spectra of Quasiperiodic Hamiltonians near the Periodic Chain

1996-07-10

arxiv.org/abs/cond-mat/9607072v1

J. Phys. A: Math. Gen. 29 (1996) 3537-3544

Physics

Condensed Matter

10 Pages in RevTeX, 2 Postscript figures

Scientific paper

10.1088/0305-4470/29/13/022

The multifractal properties of the electronic spectrum of a general
quasiperiodic chain are studied in first order in the quasiperiodic potential
strength. Analytical expressions for the generalized dimensions are found and
are in good agreement with numerical simulations. These first order results do
not depend on the irrational incommensurability.

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