تقرير
Universal localization-delocalization transition in chirally-symmetric Floquet drives
| العنوان: | Universal localization-delocalization transition in chirally-symmetric Floquet drives |
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| المؤلفون: | Culver, Adrian B., Sathe, Pratik, Brown, Albert, Harper, Fenner, Roy, Rahul |
| سنة النشر: | 2023 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | 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 non-trivial, 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 ($0 \le t \le T_\text{drive}$). We find that the time-dependent localization length $L_\text{loc}(t)$ diverges with a universal exponent as $t$ approaches the midpoint of the drive: $L_\text{loc}(t) \sim (t - T_\text{drive}/2)^{-\nu}$ with $\nu=2$. We provide analytical and numerical evidence for the universality of this exponent within the AIII symmetry class. Comment: 17 + 5 pages, 7 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.20696 |
| رقم الأكسشن: | edsarx.2310.20696 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |