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Precise manipulation of the direction and re-direction of vibrational wave energy is a key demand in wave physics and engineering. We consider the paradigm of a finite frame-like structure and the requirement to channel energy away from…

We systematically engineer a series of square and rectangular phononic crystals to create experimental realisations of complex topological phononic circuits. The exotic topological transport observed is wholly reliant upon the underlying…

Wave propagation in complex media is a universal problem spanning optics, acoustics, mechanics, and condensed matter physics. While disorder usually causes strong scattering, recent theory predicts that a special class of correlated…

Soft Condensed Matter · Physics 2026-02-10 Angélique Campaniello , Rémi Carminati , Marcel Filoche , Emmanuel Fort

We study topological properties of density wave states with broken translational symmetry in two-dimensional multi-orbital systems with a particular focus on t$_{2g}$ orbitals in square lattice. Due to distinct symmetry properties of…

Strongly Correlated Electrons · Physics 2015-05-19 Bohm-Jung Yang , Hae-Young Kee

We present a theoretical investigation of wave dynamics in two-dimensional non-Hermitian $\mathcal{PT}$-symmetric lattices, where onsite, as well as inter-site control couplings are employed. Our analysis shows that these couplings can be…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Sayan Jana , Lea Sirota

This paper experimentally investigates topologically protected edge modes in a water wave channel through a direct geometric mapping to the one-dimensional Su-Schrieffer-Heeger (SSH) model. By designing a periodic channel with alternating…

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

We investigate a novel higher-order topological behavior in elastic lattices characterized by nonsymmorphic symmetries. In the theoretical spring-mass lattice, altering the vertex mass allows for fine-tuning of the topological features…

Applied Physics · Physics 2024-12-18 Yijie Liu , Yuyang Chen , Zhaoyang Guo , Zhi-Kang Lin , Di Zhou , Feng Li , Ying Wu

Waveguides are fundamental components in communication systems. However, they suffer from reflection and scattering losses at sharp routes or defects. The breakthrough in developing topological photonic crystals (PhCs) provides promising…

Applied Physics · Physics 2024-01-03 Rui Zhou , Minglin L. N. Chen , Xingtong Shi , Yan Ren , Zihao Yu , Yu Tian , Y. Liu , Hai Lin

Electromagnetic waves propagating, at finite speeds, in conventional wave-guiding structures are reflected by discontinuities and decay in lossy regions. In this Letter, we drastically modify this typical guided-wave behavior by combining…

Optics · Physics 2018-09-12 S. Ali Hassani Gangaraj , Francesco Monticone

The interplay between real-space topological lattice defects and the reciprocal-space topology of energy bands can give rise to novel phenomena, such as one-dimensional topological modes bound to screw dislocations in three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Haoran Xue , Ding Jia , Yong Ge , Yi-jun Guan , Qiang Wang , Shou-qi Yuan , Hong-xiang Sun , Y. D. Chong , Baile Zhang

Electromagnetic wave propagation in three-dimensional space typically suffers omnidirectional scattering when encountering obstacles. In this study, we employed Chern vectors to construct a topological heterostructure, where large-volume…

We study travelling waves on a two--dimensional lattice with linear and nonlinear coupling between nearest particles and a periodic nonlinear substrate potential. Such a discrete system can model molecules adsorbed on a substrate crystal…

Pattern Formation and Solitons · Physics 2007-05-23 Michal Feckan , Vassilis M. Rothos

Dislocations are ubiquitous in three-dimensional solid-state materials. The interplay of such real space topology with the emergent band topology defined in reciprocal space gives rise to gapless helical modes bound to the line defects.…

Mesoscale and Nanoscale Physics · Physics 2022-03-02 Liping Ye , Chunyin Qiu , Meng Xiao , Tianzi Li , Juan Du , Manzhu Ke , Zhengyou Liu

The discovery of robust transport via topological states in electronic, photonic and phononic materials has deepened our understanding of wave propagation in condensed matter with prospects for critical applications of engineered…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Yuhao Kang , Azriel Z. Genack

Electromagnetic (EM) waves propagating through an inhomogeneous medium inevitably scatter whenever electromagnetic properties of the medium change on the scale of a single wavelength. This fundamental phenomenon constrains how optical…

Optics · Physics 2016-09-15 Kueifu Lai , Tzuhsuan Ma , Xiao Bo , Steven Anlage , Gennady Shvets

Structured light is routinely used in free space optical communication channels, both classical and quantum, where information is encoded in the spatial structure of the mode for increased bandwidth. Unlike polarisation, the spatial…

Optics · Physics 2025-05-08 Asher Klug , Cade Peters , Andrew Forbes

We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier studies that have considered the linearized problem. We see…

Fluid Dynamics · Physics 2022-08-31 P. Panayotaros , R. M. Vargas-Magaña

In this paper, we discuss the possibility of achieving tunable topologically protected edge modes through the application of uniaxial deformation in an auxetic metamaterial. The proposed structure consists of a thin slab with oriented cuts…

Chiral edge states can transmit energy along imperfect interfaces in a topologically robust and unidirectional manner when protected by bulk-boundary correspondence. However, in continuum systems, the number of states at an interface can…

Soft Condensed Matter · Physics 2021-07-14 Guido Baardink , Gino Cassella , Luke Neville , Paul A. Milewski , Anton Souslov