2023/10/31 by Culver, Adrian B., Sathe, Pratik, Brown, Albert +2 · 1 citation
#Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2310.20696
Periodically driven systems often exhibit behavior distinct from static systems. In single-particle, static systems, any amount of disorder generically localizes all eigenstates in one dimension. In contrast, we show that in topologically nontrivial, single-particle Floquet loop drives with chiral symmetry in one dimension, a localization-delocalization transition occurs as the time t is varied within the driving period (0 ≤ t ≤ \td). We find that the time-dependent localization length \lloc(t) diverges with a universal exponent as t approaches the midpoint of the drive: \lloc(t) ∼ (t - \td/2)-ν with ν=2. We provide analytical and numerical evidence for the universality of this exponent within the AIII symmetry class.