Universal localization-delocalization transition in chiral-symmetric Floquet drives
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866915503588507648 |
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| author | Culver, Adrian B. Sathe, Pratik Brown, Albert Harper, Fenner Roy, Rahul |
| author_facet | Culver, Adrian B. Sathe, Pratik Brown, Albert Harper, Fenner Roy, Rahul |
| contents | 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: $\lloc(t) \sim (t - \td/2)^{-ν}$ with $ν=2$. We provide analytical and numerical evidence for the universality of this exponent within the AIII symmetry class. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_20696 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Universal localization-delocalization transition in chiral-symmetric Floquet drives Culver, Adrian B. Sathe, Pratik Brown, Albert Harper, Fenner Roy, Rahul Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Strongly Correlated Electrons 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: $\lloc(t) \sim (t - \td/2)^{-ν}$ with $ν=2$. We provide analytical and numerical evidence for the universality of this exponent within the AIII symmetry class. |
| title | Universal localization-delocalization transition in chiral-symmetric Floquet drives |
| topic | Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2310.20696 |