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We propose a class of photonic Floquet topological insulators based on staggered helical lattices and an efficient numerical method for calculating their Floquet bandstructure. The lattices support anomalous Floquet topological insulator…

光学 · 物理学 2016-07-06 Daniel Leykam , M. C. Rechtsman , Y. D. Chong

Nonequilibrium Floquet topological phases due to periodic driving are known to exhibit rich and interesting features with no static analogs. Various known topological invariants usually proposed to characterize static topological systems…

介观与纳米尺度物理 · 物理学 2020-07-01 Muhammad Umer , Raditya Weda Bomantara , Jiangbin Gong

Topological crystalline insulators are a class of materials with a bulk energy gap and edge or surface modes, which are protected by crystalline symmetry, at their boundaries. They have been realized in electronic systems: in particular, in…

介观与纳米尺度物理 · 物理学 2016-10-25 Jian-Xiao Zhang , Mikael C. Rechtsman , Chao-Xing Liu

Non-Abelian topological insulators are characterized by matrix-valued, non-commuting topological charges with regard to more than one energy gap. Their descriptions go beyond the conventional topological band theory, in which an additive…

介观与纳米尺度物理 · 物理学 2025-11-11 Jiaxin Pan , Longwen Zhou

Topologically protected wave motion has attracted considerable interest due to its novel properties and potential applications in many different fields. In this work, we study edge modes and traveling edge states via the linear Dirac…

偏微分方程分析 · 数学 2022-06-14 Pipi Hu , Peng Xie , Yi Zhu

Topological phases of matter have garnered significant interest over the past two decades for two main reasons: their identification, via topological invariants, relies on the quantum geometry of the Bloch states, bringing attention to an…

介观与纳米尺度物理 · 物理学 2025-10-30 Alejandro José Uría-Álvarez

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

The study of dissipative systems has attracted great attention, as dissipation engineering has become an important candidate towards manipulating light in classical and quantum ways. Here,we investigate the behavior of a topological system…

光学 · 物理学 2024-01-22 Zhaohui Dong , Xianfeng Chen , Avik Dutt , Luqi Yuan

We experimentally observe a coexisting pair of topological anomalous Floquet interface states in a (1+1)-dimensional Discrete Photon Walk. We explicitly verify the robustness of these states against local static perturbations respecting…

光学 · 物理学 2020-11-18 Arstan Bisianov , Andre Muniz , Ulf Peschel , Oleg Egorov

The integration of topology into photonics has generated a new design framework for constructing robust and unidirectional waveguides, which are not feasible with traditional photonic devices. Here, we overcome current barriers to the…

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

介观与纳米尺度物理 · 物理学 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

The existence of gapless boundary states is a key attribute of any topological insulator. Topological band theory predicts that these states are robust against static perturbations that preserve the relevant symmetries. In this article,…

介观与纳米尺度物理 · 物理学 2017-08-14 Oleksandr Balabanov , Henrik Johannesson

Photonic topological insulators are an interesting class of materials whose photonic band structure can have a bandgap in the bulk while supporting topologically protected unidirectional edge modes. Recent studies [1-6] on bianisotropic…

介观与纳米尺度物理 · 物理学 2016-11-23 Bo Xiao , Kueifu Lai , Yang Yu , Tzuhsuan Ma , Gennady Shvets , Steven M. Anlage

We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bifurcate from two edge states belonging to different…

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

数学物理 · 物理学 2018-08-16 Guillaume Bal

We propose a scheme to simulate topological physics within a single degenerate cavity, whose modes are mapped to lattice sites. A crucial ingredient of the scheme is to construct a sharp boundary so that the open boundary condition can be…

量子物理 · 物理学 2017-03-20 Xiang-Fa Zhou , Xi-Wang Luo , Su Wang , Guang-Can Guo , Xingxiang Zhou , Han Pu , Zheng-Wei Zhou

Slow light waveguides are advantageous for implementing high-performance single-photon sources required for scalable operation of integrated quantum photonic circuits (IQPCs), though such waveguides are known to suffer from propagation loss…

Topological insulators are transformative quantum solids with immune-to-disorder metallic surface states having Dirac band structure. Ubiquitous charged bulk defects, however, pull the Fermi energy into the bulk bands, denying access to…

We study and classify the emergence of protected edge modes at the junction of one-dimensional materials. Using symmetries of Lagrangian planes in boundary symplectic spaces, we present a novel proof of the periodic table of topological…

数学物理 · 物理学 2025-07-18 David Gontier , Clément Tauber

Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two such systems are characterized by integer-valued…

数学物理 · 物理学 2018-03-05 Gian Michele Graf , Clément Tauber