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Photonic systems provide a highly tunable platform for emulating quantum Hall physics. This tunability enables probing of the interplay between strong disorder and robust topological transport that remains difficult to access in solid-state…

Research on two-dimensional van der Waals materials has demonstrated that the layer degree of freedom can significantly alter the physical properties of materials due to the substantial modification of bulk bands. Inspired by this concept,…

One of the principal goals in the design of photonic crystals is the engineering of band gaps and defect states. Drawing on the concepts of band-structure topology, I here describe the formation of exponentially localized, topologically…

Optics · Physics 2013-05-28 Henning Schomerus

Topological photonic crystals (TPhCs) provide robust manipulation of light with built-in immunity to fabrication tolerances and disorder. Recently, it was shown that TPhCs based on weak topology with a dislocation inherit this robustness…

The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around…

Optics · Physics 2023-07-19 Mark J. Ablowitz , Yi-Ping Ma

The presence or absence of topologically-produced edge states of a crystal are robust to disorder; their stability in the presence of decay is less clear. For topologically nontrivial bosonic systems with finite particle lifetimes, such as…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 Kwangyul Hu , Denis R. Candido , Michael E. Flatté

Vortex phenomena are ubiquitous in nature, from vortices of quantum particles and living cells [1-7], to whirlpools, tornados, and spiral galaxies. Yet, effective control of vortex transport from one place to another at any scale has thus…

The notion of topology in physical systems is associated with the existence of a nonlocal ordering that is insensitive to a large class of perturbations. This brings robustness to the behaviour of the system and can serve as a ground for…

Quantum Gases · Physics 2022-06-08 Marco Di Liberto , Andreas Kruckenhauser , Peter Zoller , Mikhail A. Baranov

Topology is a powerful framework for controlling and manipulating light, minimizing detrimental perturbations on the photonic properties. Combining nanophotonics with topological concepts presents opportunities for both fundamental physics…

Optics · Physics 2025-08-29 Grazia Salerno

Robust edge transport can occur when particles in crystalline lattices interact with an external magnetic field. This system is well described by Bloch's theorem, with the spectrum being composed of bands of bulk states and in-gap edge…

Strongly Correlated Electrons · Physics 2023-09-08 Dean Johnstone , Matthew J. Colbrook , Anne E. B. Nielsen , Patrik Öhberg , Callum W. Duncan

Plasma photonic crystals designed in this paper are composed of gas discharge tubes to control the flow of electromagnetic waves. The band structures calculated by the finite element method are consistent with the experimental results in…

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

Other Condensed Matter · Physics 2026-04-30 Yu. B. Kudasov

The introduction of topological invariants, ranging from insulators to metals, has provided new insights into the traditional classification of electronic states in condensed matter physics. A sudden change in the topological invariant at…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 Cheng Zhang , Hai-Zhou Lu , Shun-Qing Shen , Yong P. Chen , Faxian Xiu

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

Here, the frequency degree of freedom is introduced into valley photonic crystals with dual band gaps. Based on the high-order plane wave expansion model, we derive an effective Hamiltonian which characterizes dual band gaps. Metallic…

In recent years there has been a great interest in topological materials and in their fascinating properties. Topological band theory was initially developed for condensed matter systems, but it can be readily applied to arbitrary wave…

Optics · Physics 2022-10-05 Filipa R. Prudêncio , Mário G. Silveirinha

The discovery of topological phases of matter, initially driven by theoretical advances in quantum condensed matter physics, has been recently extended to classical wave systems, reaching out to a wealth of novel potential applications in…

Mesoscale and Nanoscale Physics · Physics 2023-06-30 Nicolas Laforge , Vincent Laude , Franck Chollet , Abdelkrim Khelif , Muamer Kadic , Yuning Guo , Romain Fleury

Chiral edge states are a hallmark feature of two-dimensional topological materials. Such states must propagate along the edges of the bulk either clockwise or counterclockwise, and thus produce oppositely propagating edge states along the…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Peiheng Zhou , Gui-Geng Liu , Yihao Yang , Yuan-Hang Hu , Sulin Ma , Haoran Xue , Qiang Wang , Longjiang Deng , Baile Zhang

Photonic topological insulators supporting unidirectional topologically protected edge states represent attractive platform for realization of disorder- and backscattering-immune transport of edge excitations in both linear and nonlinear…

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev
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