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  • Letter

Presence and absence of delocalization-localization transition in coherently perturbed disordered lattices

Hiroaki S. Yamada

Kensuke S. Ikeda

  • Yamada Physics Research Laboratory, Aoyama 5-7-14-205, Niigata 950-2002, Japan

  • College of Science and Engineering, Ritsumeikan University, Noji-higashi 1-1-1, Kusatsu 525-8577, Japan

Phys. Rev. E 103, L040202 – Published 7 April, 2021

DOI: https://doi.org/10.1103/PhysRevE.103.L040202

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 a 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. However, the critical dimension is found to be d=M+1=3 and is not d=M+1=2, which should naturally be expected by the one-parameter scaling hypothesis.

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