Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices

Abstract

A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to localized state always occurs as the perturbation strength is weakened below a critical value. The nature of the transition qualitatively follows the Anderson transition (AT) if the number of degrees of freedom $M+1$ is regarded as the spatial dimension $d$, but the critical dimension is not $d=M+1-2$ of the ordinary AT but $d=3$.

5 pages, 4 figures

References in corpus (4)

• Critical properties of the Anderson localization transition and the high dimensional limit
• Dimensional dependence of the metal-insulator transition
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• Scaling Properties of Dynamical Localization in Monochromatically Perturbed Quantum Maps: standard map and Anderson map

Cited by in corpus (1)

• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system