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While energy band topology in spatial photonic crystals (PCs) and momentum-band topology in temporal crystals have each served as powerful probes of topological phases in their respective domains, their unification in a static platform…

Optics · Physics 2026-02-06 Zimeng Zeng , Zhuoyang Li , Jiayao Liu , Zelong He , Zhaona Wang

Here, we show that spacetime modulations provide an exciting route to realize complex nonreciprocal couplings, and in particular the elusive axion response. We develop an analytical formalism to homogenize anisotropic spacetime crystals in…

Optics · Physics 2022-09-08 Filipa R. Prudêncio , Mário G. Silveirinha

Photonic crystal topological insulators host protected states at their edges. In the band structure these edge states appear as continuous bands crossing the photonic band gap. They allow light to propagate unidirectionally and without…

Optics · Physics 2017-08-02 Gleb Siroki , Paloma Arroyo Huidobro , Vincenzo Giannini

We demonstrate numerically the existence of a nontrivial topological Haldane phase for the one-dimensional extended ($U$-$V$) Hubbard model with a mean density of one particle per site, not only for bosons but also for anyons, despite a…

Quantum Gases · Physics 2017-03-27 Florian Lange , Satoshi Ejima , Holger Fehske

We study photonic crystal fibers and ring resonators with topological features induced by Aubry- Andre-Harper modulations of the cladding. We find non trivial gaps and edge states at the interface between regions with different Chern…

Optics · Physics 2020-04-22 Laura Pilozzi , Daniel Leykam , Zhigang Chen , Claudio Conti

Recently, the study of topological structures in photonics has garnered significant interest, as these systems can realize robust, non-reciprocal chiral edge states and cavity-like confined states that have applications in both linear and…

Optics · Physics 2023-11-30 Alexander Cerjan , Terry A. Loring

A sudden change in material properties creates a temporal interface and forces a propagating wave to change its frequency while preserving its wavenumber. In contrast to monoatomic lattices with a single frequency-wavenumber pair,…

Classical Physics · Physics 2026-01-15 Mahmoud M. Samak , Osama R. Bilal

Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Momchil Minkov , Vincenzo Savona

From studies of exotic quantum many-body phenomena to applications in spintronics and quantum information processing, topological materials are poised to revolutionize the condensed matter frontier and the landscape of modern materials…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Ningyuan Jia , Clai Owens , Ariel Sommer , David Schuster , Jonathan Simon

Topological phases usually are unreachable in molecular solids, which are characteristic of weakly dispersed energy bands with a large gap, in contrast to topological materials. In this work, however, we propose that nontrivial electronic…

Materials Science · Physics 2022-12-16 Tonghua Yu , Ryotaro Arita , Motoaki Hirayama

The intrinsic non-linearities of the spin dynamics in condensed matter systems give rise to a rich phenomenology that can be strongly affected by topology. Here we study formation of magnonic solitons in the topologically nontrivial bandgap…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mehrdad Elyasi , Koji Sato , Gerrit E. W. Bauer

Time photonic crystals have attracted growing attention in recent years owing to their abilities to enable broadband field enhancements, e.g., free-space electromagnetic waves, dipolar emissions, free-electron radiation, etc. While the…

Optics · Physics 2026-03-17 Junkai Jiang , Hao Hu , Yang Long , Liangliang Liu , Songyan Hou , Dongjue Liu , Zhuo Li

Topology is revolutionizing photonics, bringing with it new theoretical discoveries and a wealth of potential applications. This field was inspired by the discovery of topological insulators, in which interfacial electrons transport without…

Optics · Physics 2014-11-04 Ling Lu , John D. Joannopoulos , Marin Soljačić

Recently the possibility of achieving one-way backscatter immune transportation of light by mimicking the topological order present within certain solid state systems, such as topological insulators, has received much attention. Thus far…

Topological phase transitions in condensed matter systems have shown extremely rich physics, unveiling such exotic states of matter as topological insulators, superconductors and superfluids. Photonic topological systems open a whole new…

We present a reconfigurable topological photonic system consisting of a 2D lattice of coupled ring resonators, with two sublattices of site rings coupled by link rings, which can be accurately described by a tight-binding model. Unlike…

Optics · Physics 2018-07-17 Daniel Leykam , S. Mittal , M. Hafezi , Y. D. Chong

In this paper we study the topology of the bands of a plasmonic crystal composed of graphene and of a metallic grating. Firstly, we derive a Kronig-Penney type of equation for the plasmonic bands as function of the Bloch wavevector and…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 D. A. Miranda , Y. V. Bludov , N. Asger Mortensen , N. M. R. Peres

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

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

Emergent collective modes in lattices give birth to many intriguing physical phenomena in condensed matter physics. Among these collective modes, large-area modes typically feature small-level spacings, while a mode with stable frequency…

Mesoscale and Nanoscale Physics · Physics 2024-07-16 Zhongfu Li , Shiqi Li , Bei Yan , Hsun-Chi Chan , Jing Li , Jun Guan , Wengang Bi , Yuanjiang Xiang , Zhen Gao , Shuang Zhang , Peng Zhan , Zhenlin Wang , Biye Xie
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