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This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the…

数学物理 · 物理学 2021-01-19 Guillaume Bal , Daniel Massatt

Topological insulators are unique physical structures that are insulators in their bulk, but support currents at their edges which can be unidirectional and topologically protected from scattering on disorder and inhomogeneities. Photonic…

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

Topological edge states form at the edges of periodic materials with specific degeneracies in their modal spectra, such as Dirac points, under the action of effects breaking certain symmetries of the system. In particular, in Floquet…

光学 · 物理学 2022-12-16 Boquan Ren , Yaroslav V. Kartashov , Hongguang Wang , Yongdong Li , Yiqi Zhang

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

介观与纳米尺度物理 · 物理学 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

We study the Floquet edge states in arrays of periodically curved optical waveguides described by the modulated Su-Schrieffer-Heeger model. Beyond the bulk-edge correspondence, our study explores the interplay between band topology and…

In spatiotemporally modulated systems, topological states exist not only in energy gaps but also in momentum gaps. Such unconventional topological states impose challenges on topological physics. The underlying models also make the…

介观与纳米尺度物理 · 物理学 2024-09-17 Weiwei Zhu , Jian-Hua Jiang

One of the most fascinating properties of topological phases of matter is their robustness to disorder and imperfections. Although several experimental techniques have been developed to probe the geometric properties of engineered…

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 systems: (i) A systematic formulation of topological…

强关联电子 · 物理学 2017-11-15 Shunyu Yao , Zhongbo Yan , Zhong Wang

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 high frequency case is the most simple to analyze we…

介观与纳米尺度物理 · 物理学 2016-02-22 Pablo M. Perez-Piskunow , Luis E. F. Foa Torres , Gonzalo Usaj

We consider a topological Floquet insulator realized as a honeycomb array of helical waveguides imprinted in weakly birefringent medium. The system accounts for four-wave mixing occurring at a series of resonances arising due to Floquet…

光学 · 物理学 2021-11-05 Sergey K. Ivanov , Yaroslav V. Kartashov , Vladimir V. Konotop

We introduce traveling Floquet valley Hall edge solitons in a genuinely continuous system consisting of a waveguide array with a dynamically varying domain wall between two honeycomb structures exhibiting broken inversion symmetry.…

光学 · 物理学 2024-07-16 Sergey K. Ivanov , Yaroslav V. Kartashov

Floquet topological insulators are topological phases of matter generated by the application of time-periodic perturbations on otherwise conventional insulators. We demonstrate that spatial variations in the time-periodic potential lead to…

强关联电子 · 物理学 2013-04-02 Yaniv Tenenbaum Katan , Daniel Podolsky

Periodically-driven or Floquet systems can realize anomalous topological phenomena that do not exist in any equilibrium states of matter, whose classification and characterization require new theoretical ideas that are beyond the…

介观与纳米尺度物理 · 物理学 2020-10-27 Rui-Xing Zhang , Zhi-Cheng Yang

The engineering of synthetic materials characterised by more than one class of topological invariants is one of the current challenges of solid-state based and synthetic materials. Using a synthetic photonic lattice implemented in a…

Topological dislocation modes resulting from the interplay between spatial dislocations and momentum-space topology have recently attracted significant interest. Here, we theoretically and experimentally demonstrate time-dislocation…

介观与纳米尺度物理 · 物理学 2024-06-10 Jia-Hui Zhang , Feng Mei , Yi Li , Ching Hua Lee , Jie Ma , Liantuan Xiao , Suotang Jia

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

偏微分方程分析 · 数学 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

This work deals with the micromechanical study of periodic thermo-diffusive elastic multi-layered materials, which are of interest for the fabrication of solid oxide fuel cells (SOFCs). The focus is on the dynamic regime, that is…

应用物理 · 物理学 2018-11-26 Andrea Bacigalupo , Maria Laura De Bellis , Giorgio Gnecco

Bulk boundary correspondence in topological materials allows to study their bulk topology through the investigation of their topological boundary modes. However, for classes that share similar boundary phenomenology, the growing diversity…

The Floquet Hamiltonian has often been used to describe a time-periodic system. Nevertheless, because the Floquet Hamiltonian depends on a micro-motion parameter, the Floquet Hamiltonian with a fixed micro-motion parameter cannot faithfully…

量子物理 · 物理学 2022-03-04 Peng Xu , Wei Zheng , Hui Zhai
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