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Symmetry-protected topological corner modes in a periodically driven interacting spin lattice
- Source :
- Phys. Rev. B 106, 195122 (2022)
- Publication Year :
- 2022
-
Abstract
- Periodic driving has the longstanding reputation for generating exotic phases of matter with no static counterparts. This work explores the interplay among periodic driving, interaction effects, and $\mathbb{Z}_2$ symmetry that leads to the emergence of Floquet symmetry protected second-order topological phases in a simple but insightful two-dimensional spin-1/2 lattice. Through a combination of analytical and numerical treatments, we verify the formation of 0 and $\pi$ modes, i.e., corner localized $\mathbb{Z}_2$ symmetry broken operators that respectively commute and anticommute with the one-period time evolution operator. We further verify the topological nature of these modes by demonstrating their presence over a wide range of parameter values and explicitly deriving their associated topological invariants under special conditions. Finally, we propose a means to detect the signature of such modes in experiments and discuss the effect of imperfections.<br />Comment: 16 pages, 10 figures. Comments are most welcome
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 106, 195122 (2022)
- Publication Type :
- Report
- Accession number :
- edsarx.2206.06660
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.106.195122