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Scroll waves exist ubiquitously in three-dimensional excitable media. It's rotation center can be regarded as a topological object called vortex filament. In three-dimensional space, the vortex filaments usually form closed loops, and even…

Pattern Formation and Solitons · Physics 2008-11-07 Ji-Rong Ren , Tao Zhu , Yi-Shi Duan

Higher-order networks are able to capture the many-body interactions present in complex systems and to unveil new fundamental phenomena revealing the rich interplay between topology, geometry, and dynamics. Simplicial complexes are…

Disordered Systems and Neural Networks · Physics 2024-10-08 Runyue Wang , Riccardo Muolo , Timoteo Carletti , Ginestra Bianconi

The Hopf insulator is a weak topological insulator characterized by an insulating bulk with conducting edge states protected by an integer-valued linking number invariant. The state exists in three-dimensional two-band models. We…

Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

We construct stable domain walls in a shape of a torus in the Faddeev-Skyrme model with a quadratic potential term admitting two discrete vacua. The phase modulus of the domain wall is twisted P and Q times along the toroidal and poloidal…

High Energy Physics - Theory · Physics 2013-04-18 Michikazu Kobayashi , Muneto Nitta

A second-order topological insulator in three dimensions refers to a topological insulator with gapless states localized on the hinges, which is a generalization of a traditional topological insulator with gapless states localized on the…

Mesoscale and Nanoscale Physics · Physics 2023-05-25 Yu-Liang Tao , Ning Dai , Yan-Bin Yang , Qi-Bo Zeng , Yong Xu

We present a class of topological plasma configurations characterized by their toroidal and poloidal winding numbers, $n_t$ and $n_p$ respectively. The special case of $n_t=1$ and $n_p=1$ corresponds to the Kamchatnov-Hopf soliton, a…

Plasma Physics · Physics 2014-08-19 Amy Thompson , Joe Swearngin , Alexander Wickes , Dirk Bouwmeester

After more than 70 years of development, holography has become an essential tool of modern optics in many applications. In fact, for various applications of different kinds of holographic techniques, stability and antijamming ability are…

Optics · Physics 2023-05-18 Ling-Jun Kong , Jingfeng Zhang , Furong Zhang , Xiangdong Zhang

For spinful systems with spin 1/2, it is generally believed that P and T invariant strong and second-order topologies exist in four band and eight band system, respectively. Here, by using periodic driving, we find it is possible to have…

Mesoscale and Nanoscale Physics · Physics 2024-06-14 Hong Wu , Yu-Chen Dong , Hui Liu

One-dimensional (1D) gapless hinge states are predicated in the three-dimensional (3D) higher-order topological insulators and topological semimetals, because of the higher-order bulk-boundary correspondence. Nevertheless, the topologically…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 An-Qi Wang , Peng-Zhan Xiang , Tong-Yang Zhao , Zhi-Min Liao

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui

The central idea of metamaterials and metaoptics is that, besides their base materials, the geometry of structures offers a broad extra dimension to explore for exotic functionalities. Here, we discover that the topology of structures…

Optics · Physics 2023-06-21 Jie Peng , Ruo-Yang Zhang , Shiqi Jia , Wei Liu , Shubo Wang

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence…

Materials Science · Physics 2020-01-30 Eunwoo Lee , Rokyeon Kim , Junyeong Ahn , Bohm-Jung Yang

Topological phononic states, facilitating acoustic unique transports immunizing to defects and disorders, have significantly revolutionized our scientific cognition of acoustic wave systems. Up to now, the theoretical and experimental…

Topological phononic crystals, alike their electronic counterparts, are characterized by a bulk-edge correspondence where the interior of a material dictates the existence of stable surface or boundary modes. In the mechanical setup, such…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Roman Süsstrunk , Sebastian D. Huber

In recent years, there has been a surge of interest in higher-order topological phases (HOTPs) across various disciplines within the field of physics. These unique phases are characterized by their ability to harbor topological protected…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Chunbo Hua , Dong-Hui Xu

The orbital degrees of freedom play a pivotal role in understanding fundamental phenomena in solid-state materials as well as exotic quantum states of matter including orbital superfluidity and topological semimetals. Despite tremendous…

The past decade has witnessed a booming development of topological photonics, which revolutionizes the methodology for controlling the behavior of light. A gigantic achievement is to engineer robust confined modes localized at interfaces…

Optics · Physics 2021-07-09 Mengying Hu , Hui Liu , Shining Zhu

Recently, high-order topological insulators (HOTIs), accompanied by topologically nontrivial boundary states with codimension larger than one, have been extensively explored because of unconventional bulk-boundary correspondences. As a…

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe