Tunable fragile topology in Floquet systems
Abstract
We extend the notion of fragile topology to periodically driven systems. Here we demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet π-flux square-lattice model. In both cases, we discover a rich phase diagram that includes Floquet fragile topological phases protected by crystalline rotation or mirror symmetries, Floquet Chern insulators, and trivial atomic phases, with distinct boundary features. Remarkably, the transitions between different phases can be feasibly achieved by simply tuning the driving amplitudes, which is a unique feature of driving-enabled topological phenomena. Moreover, corner-localized fractional charges are identified as a “smoking-gun” signal of fragile topology in our systems. Our work paves the way for studying and realizing fragile topology in Floquet systems.
- Publication Date:
- Research Org.:
- Univ. of Maryland, College Park, MD (United States); Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); National Science Foundation (NSF); US Air Force Office of Scientific Research (AFOSR); US Army Research Office (ARO); US Army Research Laboratory (USARL); US Department of the Navy, Office of Naval Research (ONR)
- OSTI Identifier:
- 1852780
- Grant/Contract Number:
- SC0019040; SC0019449; SC0020312; FA9550-19-1-0399; N00014-20-1-2325
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 103; Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; topological insulators; topological phases of matter; Floquet systems; nonequilibrium systems; dynamical systems
Citation Formats
Zhang, Rui-Xing, and Yang, Zhi-Cheng. Tunable fragile topology in Floquet systems. United States: N. p., 2021.
Web. doi:10.1103/physrevb.103.l121115.
Zhang, Rui-Xing, & Yang, Zhi-Cheng. Tunable fragile topology in Floquet systems. United States. https://doi.org/10.1103/physrevb.103.l121115
Zhang, Rui-Xing, and Yang, Zhi-Cheng. Wed .
"Tunable fragile topology in Floquet systems". United States. https://doi.org/10.1103/physrevb.103.l121115. https://www.osti.gov/servlets/purl/1852780.
@article{osti_1852780,
title = {Tunable fragile topology in Floquet systems},
author = {Zhang, Rui-Xing and Yang, Zhi-Cheng},
abstractNote = {We extend the notion of fragile topology to periodically driven systems. Here we demonstrate driving-induced fragile topology in two different models, namely, the Floquet honeycomb model and the Floquet π-flux square-lattice model. In both cases, we discover a rich phase diagram that includes Floquet fragile topological phases protected by crystalline rotation or mirror symmetries, Floquet Chern insulators, and trivial atomic phases, with distinct boundary features. Remarkably, the transitions between different phases can be feasibly achieved by simply tuning the driving amplitudes, which is a unique feature of driving-enabled topological phenomena. Moreover, corner-localized fractional charges are identified as a “smoking-gun” signal of fragile topology in our systems. Our work paves the way for studying and realizing fragile topology in Floquet systems.},
doi = {10.1103/physrevb.103.l121115},
journal = {Physical Review. B},
number = 12,
volume = 103,
place = {United States},
year = {Wed Mar 24 00:00:00 EDT 2021},
month = {Wed Mar 24 00:00:00 EDT 2021}
}
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