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Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

Synthetic dimensions based on particles' internal degrees of freedom, such as frequency, spatial modes and arrival time, have attracted significant attention. They offer ideal large-scale lattices to simulate nontrivial topological…

Topological insulators (TIs) are quantum materials combining insulating bulk properties with conductive surface states protected by time-reversal symmetry. Their unique electromagnetic behavior originates from the topological…

Optics · Physics 2025-02-19 Sebastián Filipini

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

We show theoretically that, in the limit of weak dispersion, one-dimensional (1D) binary centrosymmetric photonic crystals can support topological edge modes in all photonic band gaps. By analyzing their bulk band topology, these "harmonic"…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Ka Hei Choi , C. W. Ling , K. F. Lee , Y. H. Tsang , Kin Hung Fung

Step edges of topological crystalline insulators can be viewed as predecessors of higher-order topology, as they embody one-dimensional edge channels embedded in an effective three-dimensional electronic vacuum emanating from the…

We designed slow-light waveguides with a wide mode area based on slab-type valley photonic crystal (VPhC) heterostructures which are composed of a graphene-like PhC sandwiched by two topologically distinct VPhCs. The group velocity of the…

Optics · Physics 2024-04-04 Chengkun Zhang , Yasutomo Ota , Satoshi Iwamoto

We elucidate the general rule governing the response of dislocation lines in three-dimensional topological band insulators. According to this ${\bf K}\text{-}{\bf b}\text{-}{\bf t}$ rule, the lattice topology, represented by dislocation…

Mesoscale and Nanoscale Physics · Physics 2014-12-03 Robert-Jan Slager , Andrej Mesaros , Vladimir Juricic , Jan Zaanen

Topological photonics has recently emerged as a very general framework for the design of unidirectional edge waveguides immune to back-scattering and deformations, as well as other platforms that feature extreme nonreciprocal wave…

Optics · Physics 2023-02-01 João C. Serra , Mário G. Silveirinha

We investigate the effects of ellipticity-induced curvature on atomic Bose-Einstein condensates confined in quasi-one-dimensional closed-loop waveguides. Our theoretical study reveals intriguing phenomena arising from the interplay between…

Quantum Gases · Physics 2023-10-24 Yelyzaveta Nikolaieva , Luca Salasnich , Alexander Yakimenko

We have designed honeycomb lattices for microwave photons with a frequency imbalance between the two sites in the unit cell. This imbalance is the equivalent of a mass term that breaks the lattice inversion symmetry. At the interface…

Applied Physics · Physics 2021-04-01 Alexis Morvan , Mathieu Féchant , Gianluca Aiello , Julien Gabelli , Jérôme Estève

The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

Rapid development of topological concepts in photonics unveils exotic phenomena such as unidirectional propagation of electromagnetic waves resilient to backscattering at sharp bends and disorder-immune localization of light at stable…

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

Classical Physics · Physics 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

Recent developments in photonic topological phases have revealed that protected edge modes can emerge not only from global topological invariants, but also from symmetry-enforced polarization mismatches between distinct bulk phases. In this…

Optics · Physics 2025-07-14 Ondřej Novák , Martin Veis , Gervasi Herranz

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene

Topological photonics provides a new degree of freedom to robustly control electromagnetic fields. To date, most of established topological states in photonics have been employed in Euclidean space. Motivated by unique properties of…

Various topological laser concepts have recently enabled the demonstration of robust light-emitting devices that are immune to structural deformations and tolerant to fabrication imperfections. Current realizations of photonic cavities with…

Photonic topological insulators (PTIs) have been widely studied due to the robustness of energy transport via supported edge modes immune to structural disorder. In this work, a topological gap waveguide is constructed by introducing line…

Applied Physics · Physics 2023-10-05 Yan Ren , Hai Lin , Rui Zhou , Xintong Shi , Jing Jin , Y. Liu

Topology has been revealed to play a fundamental role in physics in the past decades. Topological insulators have unconventional gapless edge states where disorder-induced back-scattering is suppressed. In photonics, such edge states lead…