Low-frequency and Moiré–Floquet engineering: A review

M Rodriguez-Vega, M Vogl, GA Fiete - Annals of Physics, 2021 - Elsevier
We review recent work on low-frequency Floquet engineering and its application to quantum
materials driven by light, focusing on van der Waals systems hosting Moiré superlattices …

Periodic table for Floquet topological insulators

R Roy, F Harper - Physical Review B, 2017 - APS
Dynamical phases with novel topological properties are known to arise in driven systems of
free fermions. In this paper, we obtain a 'periodic table'to describe the phases of such time …

Topological singularities and the general classification of Floquet–Bloch systems

F Nathan, MS Rudner - New Journal of Physics, 2015 - iopscience.iop.org
Recent works have demonstrated that the Floquet–Bloch bands of periodically-driven
systems feature a richer topological structure than their non-driven counterparts. The …

Floquet engineering of topological states in realistic quantum materials via light-matter interactions

H Liu, H Cao, S Meng - Progress in Surface Science, 2023 - Elsevier
Electronic states in quantum materials can be engineered by light irradiation, which is
greatly advanced by ab-initio computational predictions in realistic light-matter coupled …

Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects

S Yao, Z Yan, Z Wang - Physical Review B, 2017 - APS
Periodically driven (Floquet) systems have been under active theoretical and experimental
investigations. This paper aims at a systematic study in the following aspects of Floquet …

Floquet topological transitions in a driven one-dimensional topological insulator

V Dal Lago, M Atala, LEF Foa Torres - Physical Review A, 2015 - APS
The Su–Schrieffer–Heeger model of polyacetylene is a paradigmatic Hamiltonian exhibiting
nontrivial edge states. By using Floquet theory we study how the spectrum of this one …

Light-induced phase crossovers in a quantum spin Hall system

F Qin, CH Lee, R Chen - Physical Review B, 2022 - APS
In this work, we theoretically investigate the light-induced topological phases and finite-size
crossovers in a paradigmatic quantum spin Hall (QSH) system with high-frequency pumping …

All-optical band engineering of gapped Dirac materials

OV Kibis, K Dini, IV Iorsh, IA Shelykh - Physical Review B, 2017 - APS
We demonstrate theoretically that the interaction of electrons in gapped Dirac materials
(gapped graphene and transition-metal dichalchogenide monolayers) with a strong off …

Effective Floquet Hamiltonian in the low-frequency regime

M Vogl, M Rodriguez-Vega, GA Fiete - Physical Review B, 2020 - APS
We develop a theory to derive effective Floquet Hamiltonians in the weak-drive and low-
frequency regime. We construct the theory in analogy with band theory for electrons in a …

Hierarchy of Floquet gaps and edge states for driven honeycomb lattices

PM Perez-Piskunow, LEF Foa Torres, G Usaj - Physical Review A, 2015 - APS
Electromagnetic driving in a honeycomb lattice can induce gaps and topological edge states
with a structure of increasing complexity as the frequency of the driving lowers. While the …