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A Cm planar photonic material (two-dimensional) including the mirror reflection symmetry is explored where in the Dirac cones appeared at the high-symmetry points of the Brillouin zone boundary. By implementing the specific perturbation on…

Applied Physics · Physics 2020-05-26 J. Hajivandi , H. Kurt

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

In this paper, we study topological phases in a 2D photonic crystal with broken time ($\mathcal{T}$) and parity ($\mathcal{P}$) symmetries by performing calculations of band structures, Berry curvatures, Chern numbers, edge states and also…

Mesoscale and Nanoscale Physics · Physics 2018-01-23 Hsun-Chi Chan , Guang-Yu Guo

The field of topological photonics was initiated with the realization of a Chern insulator phase in a gyromagnetic photonic crystal (PhC) with broken time-reversal symmetry (T), hosting chiral edge states that are topologically protected…

In this work, we study the topological phases of the dimerized square lattice in the presence of an external magnetic field. The dimerization pattern in the lattice's hopping amplitudes can induce a series of bulk energy gap openings in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-29 Zheng-Wei Zuo , Wladimir A. Benalcazar , Yunzhe Liu , Chao-Xing Liu

Recent breakthroughs in hyperbolic lattices have expanded the study of topological phases of matter from Euclidean to non-Euclidean spaces. However, prior work has mostly focused on spatial topological states at the single outer edge of…

Optics · Physics 2026-01-15 Jingming Chen , Zebin Zhu , Minqi Cheng , Linyun Yang , Yuxin Zhong , Zhen Gao

We demonstrate that multiple higher-order topological transitions can be triggered via the continuous change of the geometry in kagome photonic crystals composed of three dielectric rods. By tuning a single geometry parameter, the photonic…

Optics · Physics 2021-09-01 Hai-Xiao Wang , Li Liang , Bin Jiang , Junhui Hu , Xiancong Lu , Jian-Hua Jiang

Higher-order topological phase as a generalization of Berry phase attracts an enormous amount of research. The current theoretical models supporting higher-order topological phases, however, cannot give the connection between lower and…

Quantum Physics · Physics 2021-12-22 Yao Wang , Yongguan Ke , Yi-Jun Chang , Yong-Heng Lu , Jun Gao , Chaohong Lee , Xian-Min Jin

Photonic crystals (PhCs) have emerged as a popular platform for realizing various topological phases due to their flexibility and potential for device applications. In this article, we present a comprehensive classification of topological…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Sachin Vaidya , Ali Ghorashi , Thomas Christensen , Mikael C. Rechtsman , Wladimir A. Benalcazar

Generating and manipulating Dirac points in artificial atomic crystals has received attention especially in photonic systems due to their ease of implementation. In this paper, we propose a two-dimensional photonic crystal made of a…

Optics · Physics 2021-09-15 R. Zhou , H. Lin , Y. Liu , X. Shi , R. Tang , Y. Wu , Z. Yu

The possibility of topological phase transition with or without a magnetic flux trapped in the cells of a class of decorated lattices is explored in details.Using a tight binding Hamiltonian and a real space decimation scheme we…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Sougata Biswas

Topological photonics has received extensive attention from researchers because it provides brand new physical principles to manipulate light. Band topology of optical materials is characterized using the Berry phase defined by Bloch…

Optics · Physics 2022-11-01 Chang-Yin Ji , Wenze Lan , Peng Fu , Gang Wang , Changzhi Gu , Jiafang Li , Yugui Yao , Baoli Liu

Topological phases of light exhibit unique properties beyond the realm of conventional photonics. In particular the valley-Hall topological insulator has been realized in a variety of photonic structures because it can be easily induced by…

Optics · Physics 2020-10-06 Charlie-Ray Mann , Eros Mariani

Topological photonics has attracted widespread research attention in the past decade due to its fundamental interest and unique manner in controlling light propagation for advanced applications. Paradigmatic approaches have been proposed to…

The bulk-edge correspondence principle, a cornerstone of topological physics, ensures that first-order topological systems host robust chiral edge states in two dimension. This was later extended to higher-order phases, where second-order…

Disordered Systems and Neural Networks · Physics 2026-03-31 Xianbin Wu , Tiantao Qu , Xiaoxuan Shi , Lei Zhang , Jun Chen

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

We show how the squeezing of light can lead to the formation of topological states. Such states are characterized by non-trivial Chern numbers, and exhibit protected edge modes which give rise to chiral elastic and inelastic photon…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Vittorio Peano , Martin Houde , Christian Brendel , Florian Marquardt , Aashish A. Clerk

We demonstrate the existence of a new topologically ordered phase in Kitaev's honeycomb lattice model. This new phase appears due to the presence of a vortex lattice and it supports chiral Abelian anyons. We characterize the phase by its…

Strongly Correlated Electrons · Physics 2014-11-20 Ville Lahtinen , Jiannis K. Pachos

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

Motivated by the emerging control of Berry-curvature textures in altermagnets, we explore a two-terminal configuration where a topological-insulator film is interfaced with two altermagnetic electrodes whose crystalline phases can be…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Carlos Caro , Francisco Gamez
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