2020/03/10 by Hiroaki Yamada, Kensuke S. Ikeda, Yamada, Hiroaki S. +2
Mathematics · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2003.04681
openalex publication_date 2020/03/10 · openalex created_date 2022/08/20 · openalex updated_date 2026/07/28
In the previous paper [PRE 101,032210(2020)], localization and delocalization\nphenomena in the polychromatically perturbed Anderson map (AM) were elucidated\nmainly from the viewpoint of localization-delocalization transition (LDT) on\nthe increase of the perturbation strength \ε. In this paper, we mainly\ninvestigate the dependency of the phenomena on the disorder strength W\n(W-dependence) in the AM with a characteristic disorder strength W^*. In\nthe completely localized region the W-dependence and \ε-dependence of\nthe localization length show characteristic behavior similar to those reported\nin monochromatically perturbed case [PRE 97,012210(2018)]. Furthermore, the\nobtained results show that even for the increase of the W, the critical\nphenomena and critical exponent are found to be similar to those in the LDT\ncaused by the increase of \ε. We also investigate the diffusive\nproperties of the delocalized states induced by the parameters.\n