Floquet topological systems with flat bands: Edge modes, Berry curvature, and orbital magnetization
Abstract
Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the Chern number is zero and yet chiral edge modes exist. Analytic expressions for the edge modes, Berry curvature, and the orbital magnetization are derived for the flat bands. Results are also presented for the static Haldane model for parameters when the bands are flat. Floquet driving of the same model is shown to give rise to Chern insulators as well as anomalous Floquet phases. As a result, the orbital magnetization for these different topological phases are presented and are found to be enhanced at half filling by the broken particle-hole symmetry of the Haldane model.
- Authors:
-
[1];
[2]
- Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)
- New York Univ. (NYU), NY (United States)
- Publication Date:
- Research Org.:
- New York Univ. (NYU), NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1873647
- Grant/Contract Number:
- SC0010821
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 24; 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; Chern insulators; Edge states; Topological insulators; Floquet systems; Graphene; Bloch-Floquet theorem
Citation Formats
Dag, Ceren B., and Mitra, Aditi. Floquet topological systems with flat bands: Edge modes, Berry curvature, and orbital magnetization. United States: N. p., 2022.
Web. doi:10.1103/physrevb.105.245136.
Dag, Ceren B., & Mitra, Aditi. Floquet topological systems with flat bands: Edge modes, Berry curvature, and orbital magnetization. United States. https://doi.org/10.1103/physrevb.105.245136
Dag, Ceren B., and Mitra, Aditi. Thu .
"Floquet topological systems with flat bands: Edge modes, Berry curvature, and orbital magnetization". United States. https://doi.org/10.1103/physrevb.105.245136. https://www.osti.gov/servlets/purl/1873647.
@article{osti_1873647,
title = {Floquet topological systems with flat bands: Edge modes, Berry curvature, and orbital magnetization},
author = {Dag, Ceren B. and Mitra, Aditi},
abstractNote = {Results are presented for Floquet systems in two spatial dimensions where the Floquet driving breaks an effective time reversal symmetry. The driving protocol also induces flat bands that correspond to anomalous Floquet phases where the Chern number is zero and yet chiral edge modes exist. Analytic expressions for the edge modes, Berry curvature, and the orbital magnetization are derived for the flat bands. Results are also presented for the static Haldane model for parameters when the bands are flat. Floquet driving of the same model is shown to give rise to Chern insulators as well as anomalous Floquet phases. As a result, the orbital magnetization for these different topological phases are presented and are found to be enhanced at half filling by the broken particle-hole symmetry of the Haldane model.},
doi = {10.1103/physrevb.105.245136},
journal = {Physical Review. B},
number = 24,
volume = 105,
place = {United States},
year = {Thu Jun 23 00:00:00 EDT 2022},
month = {Thu Jun 23 00:00:00 EDT 2022}
}
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