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Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices

Localized-diffusive and ballistic-diffusive transitions in kicked incommensurate lattices

By using the kicked Harper model, the effect of dynamical perturbations to the localized and ballistic phases in aperiodic lattice systems is investigated. The transition from the localized phase to diffusive phase via a critical sub-diffusion $t^\alpha$($t$:time) with $0<\alpha<1$ is observed. In addition, we first confirmed the existence of the …