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We experimentally demonstrate topological edge states arising from the valley-Hall effect in twodimensional honeycomb photonic lattices with broken inversion symmetry. We break inversion symmetry by detuning the refractive indices of the…

Optics · Physics 2018-02-12 Jiho Noh , Sheng Huang , Kevin Chen , Mikael C. Rechtsman

We study topological states of honeycomb photonic crystals in absence of inversion symmetry using plane wave expansion and finite element methods. The breaking of inversion symmetry in honeycomb lattice leads to contrasting topological…

Optics · Physics 2021-05-28 Huyen Thanh Phan , Feng Liu , Katsunori Wakabayashi

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of…

Quantum Gases · Physics 2015-10-28 Yun Li , Pinaki Sengupta , George G. Batrouni , Christian Miniatura , Benoît Grémaud

Photovoltaic Hall effect -- the Hall effect induced by intense, circularly-polarized light in the absence of static magnetic fields -- has been proposed in Phys. Rev. B 79, 081406R (2009) for graphene where a massless Dirac dispersion is…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Takashi Oka , Hideo Aoki

Valley photonics has emerged as a promising platform in topological photonic systems, yet the topological nature of valley-dependent phenomena remains unsettled. Theoretically, inter-valley scattering may occur with structural…

Optics · Physics 2026-05-18 Wei Dai , Taiki Yoda , Yuto Moritake , Masaya Notomi

In this work, we develop a mathematical theory for the photonic Hall effect and prove the existence of guided electromagnetic waves at the interface of two honeycomb photonic crystals. The guided wave resembles the edge states in electronic…

Optics · Physics 2026-01-01 Wei Li , Junshan Lin , Jiayu Qiu , Hai Zhang

Valley photonic crystals provide efficient designs for the routing of light through channels in extremely compact geometries. The topological origin of the robust transport and the specific geometries under which it can take place have been…

Optics · Physics 2024-08-21 Gaëtan Lévêque , Pascal Szriftgiser , Alberto Amo , Yan Pennec

Magnetic transition metal chalcogenides form an emerging platform for exploring spin-orbit driven Berry phase phenomena owing to the nontrivial interplay between topology and magnetism. Here we show that the anomalous Hall effect in…

Band geometry plays a substantial role in topological lattice models. The Berry curvature, which resembles the effect of magnetic field in reciprocal space, usually fluctuates throughout the Brillouin zone. Motivated by the analogy with…

Strongly Correlated Electrons · Physics 2022-04-11 Daniel Varjas , Ahmed Abouelkomsan , Kang Yang , Emil J. Bergholtz

Valley-contrast physics has gained considerable attention, particularly for realizing photonic topological insulators (PTIs) that support reflection-free valley-polarized edge modes (VPEMs) in the absence of inter-valley scattering. It is…

Optics · Physics 2023-01-19 Dia'aaldin Bisharat , Dan Sievenpiper

The topological characteristics of energy bands in crystalline systems are encapsulated in the Berry curvature of the bulk Bloch states. In photonic crystal slabs, far-field emission from guided resonances naturally provides a non-invasive…

Vortex magnetic structure in artificial honeycomb lattice provides a unique platform to explore emergent properties due to the additional Berry phase curvature imparted by chiral magnetization to circulating electrons via direct…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 J. Guo , V. Dugaev , A. Ernst , G. Yumnam , P. Ghosh , D. K. Singh

Berry curvature that describes local geometrical properties of energy bands can elucidate many fascinating phenomena in solid-state, photonic, and phononic systems, given its connection to global topological invariants such as the Chern…

Optics · Physics 2024-02-21 Xuefan Yin , Ye Chen , Xiaoyu Zhang , Zixuan Zhang , Susumu Noda , Chao Peng

"Photonic crystals" built with time-reversal-symmetry-breaking Faraday-effect media can exhibit "chiral" edge modes that propagate unidirectionally along boundaries across which the Faraday axis reverses. These modes are precise analogs of…

Mesoscale and Nanoscale Physics · Physics 2009-04-26 S. Raghu , F. D. M. Haldane

In this paper, the photonic quantum spin Hall effect (PQSHE) is realized in dielectric two-dimensional (2D) honeycomb lattice photonic crystal (PC) by stretching and shrinking the honeycomb unit cell. Combining two honeycomb lattice PCs…

Optics · Physics 2021-02-26 Yuchen Peng , Bei Yan , Jianlan Xie , Exian Liu , Hang Li , Rui Ge , Feng Gao , Jianjun Liu

Topological aspects of electron wavefunction play a crucial role in determining the physical properties of materials. Berry curvature and Chern number are used to define the topological structure of electronic bands. While Berry curvature…

Recent experiments on multilayer graphene systems have rekindled interest in electronic crystal phases in two dimensions -- but now for phases enriched by non-trivial quantum geometry. In this work, we introduce a simple continuum model…

Strongly Correlated Electrons · Physics 2026-01-27 Félix Desrochers , Joe Huxford , Mark R. Hirsbrunner , Yong Baek Kim

Topologically protected edge states arise at the interface of two topologically distinct valley photonic crystals. In this work, we investigate how tailoring the interface geometry, specifically from a zigzag interface to a glide plane,…

Optics · Physics 2023-10-03 Di Yu , Sonakshi Arora , L. Kuipers

We report the finding of the analogous valley Hall effect in phononic systems arising from mirror symmetry breaking, in addition to spatial inversion symmetry breaking. We study topological phases of plates and spring-mass models in Kagome…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Natalia Lera , Daniel Torrent , Pablo San-Jose , Johan Christensen , Jose Vicente Alvarez

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
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