Universal localization-delocalization transition in chiral-symmetric Floquet drives

Adrian B. Culver; Pratik Sathe; Albert Brown; Fenner Harper; Rahul Roy

doi:10.1103/ntl6-9zlt

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arXiv · 2310.20696

Universal localization-delocalization transition in chiral-symmetric Floquet drives

Adrian B. Culver·Pratik Sathe·Albert Brown·Fenner Harper·Rahul Roy

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Abstract

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 ($0 \le t \le \td$). We find that the time-dependent localization length $\lloc(t)$ diverges with a universal exponent as $t$ approaches the midpoint of the drive: $\lloc(t) \sim (t - \td/2)^{-\nu}$ with $\nu=2$. We provide analytical and numerical evidence for the universality of this exponent within the AIII symmetry class.

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Adrian B. Culver, Pratik Sathe, Albert Brown, Fenner Harper, Rahul Roy. 2023-10-31. Universal localization-delocalization transition in chiral-symmetric Floquet drives. https://doi.org/10.1103/ntl6-9zlt

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