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We point out that electromagnetic one-way edge modes analogous to quantum Hall edge states, originally predicted by Raghu and Haldane in 2D gyroelectric photonic crystals possessing Dirac point-derived bandgaps, can appear in more general…

Optics · Physics 2008-01-10 Zheng Wang , Y. D. Chong , John D. Joannopoulos , Marin Soljacic

We demonstrate the coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry, which is composed of three interlacing triangular sublattices with the same lattice constants. By tuning the…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

We illustrate possible topological phases in honeycomb lattice with textures in electron hopping energy between nearest-neighboring sites and show that they are characterized by the mirror winding number intimately related to the chiral (or…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Toshikaze Kariyado , Xiao Hu

The $\alpha$-$T_3$ lattice, an interpolation model between the honeycomb lattice of graphene($\alpha=0$) and the dice lattice($\alpha=1$), undergoes a topological phase transition across $\alpha=1/\sqrt{2}$ when exposed to a circularly…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Lakpa Tamang , Tutul Biswas

Under the Born-Oppenheimer approximation, the electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by the molecular Berry curvature. In this work, we study the effect of the molecular Berry…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Daniyar Saparov , Bangguo Xiong , Yafei Ren , Qian Niu

Photonic topological phases offering unprecedented manipulation of electromagnetic waves have attracted much research interest which, however, have been mostly restricted to a single band gap. Here, we report on the experimental discovery…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Yanan Wang , Hai-Xiao Wang , Li Liang , Longzhen Fan , Zhi-Kang Lin , Feifei Li , Xiao Zhang , Pi-Gang Luan , Yin Poo , Jian-Hua Jiang , Guang-Yu Guo

In this paper, we introduce Berry curvature, topological Chern number and topological chiral edge mode, that emerge from a hybridization between magnon and electromagnetic wave in a ferromagnet insulator. By focusing on the energy…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Akihiro Okamoto , Ryuichi Shindou , Shuichi Murakami

In the recent years, there has been a drive towards the realization of topological phases beyond conventional electronic materials, including phases defined in more than three dimensions. We propose a way to realize 2nd Chern number…

Mesoscale and Nanoscale Physics · Physics 2017-12-14 Xiao Zhang , You Jian Chen , Bochen Guan , Jun Yu Lin , Nai Chao Hu , Ching Hua Lee

Berry curvature is a fundamental element to characterize topological quantum physics, while a full measurement of Berry curvature in momentum space was not reported for topological states. Here we achieve two-dimensional Berry curvature…

We consider theoretically staggered honeycomb lattices for photons which can be viewed as photonic analogs of transitional metal dichalcogenides (TMD) monolayers. We propose a simple realization of a photonic Quantum Valley Hall effect…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 O. Bleu , D. D. Solnyshkov , G. Malpuech

The recent realizations of topological valley phase in photonic crystal, an analog of gapped valleytronic materials in electronic system, are limited to the valley Chern number of one. In this letter, we present a new type of valley phase…

Optics · Physics 2020-04-02 Xiang Xi , Kang-Ping Ye , Rui-Xin Wu

Valley polarized twisted bilayer dice lattice hosts topologically nontrivial flat bands far from charge neutrality due to broken time reversal symmetry, whereas the ones in the vicinity of it remain topologically trivial. However, when both…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Gourab Paul , Srijata Lahiri , Bilal Tanatar , Saurabh Basu

Two-dimensional photonic crystals made of six air holes on a core-shell dielectric material has been proposed to study the newly emerged photonic quantum spin Hall insulator. Specifically, radii modification of the air holes and core-shell…

Applied Physics · Physics 2021-06-02 J. Hajivandi , H. Kurt

In this work, we examine the topological phases of the spring-mass lattices when the spatial inversion symmetry of the system is broken and prove the existence of edge modes when two lattices with different topological phases are glued…

Mathematical Physics · Physics 2023-12-15 Ridvan Ozdemir , Junshan Lin

While in pristine bilayer graphene the Berry curvature dipole (BCD), a necessary ingredient for the nonlinear anomalous Hall effect, is zero, uniaxial strain can give rise to finite BCD. We investigate this by using a tight-binding (TB)…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Karel Cuypers , Robin Smeyers , Bert Jorissen , Lucian Covaci

We analyze the robustness of corner modes in topological photonic crystals, taking a $C_6$-symmetric breathing honeycomb photonic crystal as an example. First, we employ topological quantum chemistry and Wilson loop calculations to…

Using a semi-analytic guided-mode expansion technique, we present theory and analysis of intrinsic propagation losses for topological photonic crystal slab waveguide structures with modified honeycomb lattices of circular or triangular…

Optics · Physics 2020-10-28 Erik Sauer , Juan Pablo Vasco , Stephen Hughes

We present a theoretical study on photonic topological crystals whose symmetry is governed by quantum valley-Hall topological insulators and whose propagating edge modes are strongly confined due to bowtie geometries. Dielectric bowtie…

Topological lasers based on topologically protected edge states offer unique features and enhanced robustness of operation in comparison with conventional lasers, even in the presence of disorder, edge deformation, and localized defects.…

The topological properties of a material's electronic structure are encoded in its Berry curvature, a quantity which is intimately related to the transverse electrical conductivity. In transition metal dichalcogenides with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Fei Xue , V. P. Amin , P. M. Haney