Non-power-law universality in one-dimensional quasicrystals
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Abstract
We have investigated scaling properties of the Aubry-Andr'e model and
related one-dimensional quasiperiodic Hamiltonians near their localisation
transitions. We find numerically that the scaling of characteristic energies
near the ground state, usually captured by a single dynamical exponent, does
not obey a power law relation. Instead, the scaling behaviour depends strongly
on the correlation length in a manner governed by the continued fraction
expansion of the irrational number
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2469-9969
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European Research Council (716378)