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Related papers: Edge Modes of Scattering Chains with Aperiodic Ord…

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We study the compact localized scattering resonances of periodic and aperiodic chains of dipolar nanoparticles by combining the powerful Equitable Partition Theorem (EPT) of graph theory with the spectral dyadic Green's matrix formalism for…

Scattering theory has been suggested as a convenient method to identify topological phases of matter, in particular of disordered systems for which the Bloch band-theory approach is inapplicable. Here we examine this idea, employing as a…

Mesoscale and Nanoscale Physics · Physics 2024-03-14 Zhi-Hai Liu , O. Entin-Wohlman , A. Aharony , J. Q. You , H. Q. Xu

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we study the phenomenon of topologically protected edge states…

Analysis of PDEs · Mathematics 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

We demonstrate that a bianisotropic response associated with a broken mirror symmetry of a dielectric resonator allows opening a band gap in simple square lattice arrays of such resonators. Realizing the proposed system as an array of…

Particle beam scattering is a conventional technique for detecting the nature of matter. We studied the scattering problem of a cluster connected to multiple leads. We established the connection between the eigenstate of the topological…

Quantum Physics · Physics 2022-03-03 H. S. Xu , K. L. Zhang , L. Jin , Z. Song

Topological magnon insulators exhibit robust edge modes with chiral properties similar to quantum Hall edge states. However, due to their strong localization at the edges, interactions between these chiral edge magnons can be significant,…

Strongly Correlated Electrons · Physics 2026-01-12 Stefan Birnkammer , Michael Knap , Johannes Knolle , Alexander Mook , Alvise Bastianello

We study the Floquet edge states in arrays of periodically curved optical waveguides described by the modulated Su-Schrieffer-Heeger model. Beyond the bulk-edge correspondence, our study explores the interplay between band topology and…

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

Quantum Physics · Physics 2022-09-21 Ciaran McDonnell , Beatriz Olmos

We present a class of mechanical lattices based on elliptical gears with quasiperiodic modulation and geometric nonlinearity, capable of exhibiting topologically protected modes and amplitude-driven transitions. Starting from a…

Applied Physics · Physics 2025-08-11 Shuaifeng Li , Di Zhou , Feng Li , Panayotis G. Kevrekidis , Jinkyu Yang

We present a multiple scattering analysis of robust interface states for flexural waves in thin elastic plates. We show that finite clusters of linear arrays of scatterers built on a quasi-periodic arrangement support bounded modes in the…

Applied Physics · Physics 2024-06-12 Marc Martí-Sabaté , Dani Torrent

Topological physics strongly relies on prototypical lattice model with particular symmetries. We report here on a theoretical and experimental work on acoustic waveguides that is directly mapped to the one-dimensional Su-Schrieffer-Heeger…

Mesoscale and Nanoscale Physics · Physics 2022-01-13 Antonin Coutant , Audrey Sivadon , Liyang Zheng , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We study the topological edge plasmon modes between two "diatomic" chains of identical plasmonic nanoparticles. Zak phase for longitudinal plasmon modes in each chain is calculated analytically by solutions of macroscopic Maxwell's…

Mesoscale and Nanoscale Physics · Physics 2015-05-11 C. W. Ling , Meng Xiao , C. T. Chan , S. F. Yu , Kin Hung Fung

Unidirectional and backscattering-free propagation of sound waves is of fundamental interest in physics, and highly sought-after in engineering. Current strategies utilize topologically protected chiral edge modes in bandgaps, or complex…

Soft Condensed Matter · Physics 2023-06-14 Wenting Cheng , Kai Qian , Nan Cheng , Nicholas Boechler , Xiaoming Mao , Kai Sun

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic chains are studied in this work. We propose that by introducing incommensurate modulations on the interatomic distances of 1D periodic atomic chains, the…

Optics · Physics 2021-02-03 B. X. Wang , C. Y. Zhao

We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By…

Mesoscale and Nanoscale Physics · Physics 2026-05-13 M. Niţă

Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Symmetries -- whether explicit, latent, or hidden -- are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Udbhav Vishwakarma , Murthaza Irfan , Georgios Theocharis , Rajesh Chaunsali

Topological systems furnish a powerful way of localizing wave energy at edges of a structured material. Usually this relies on Bragg scattering to obtain bandgaps with nontrivial topological structures. However, this limits their…

Classical Physics · Physics 2022-06-15 Antonin Coutant , Vassos Achilleos , Olivier Richoux , Georgios Theocharis , Vincent Pagneux

We develop a semiclassical theory of laser oscillation into a chiral edge state of a topological photonic system endowed with a frequency-dependent gain. As an archetypal model of this physics, we consider a Harper-Hofstadter lattice…

Optics · Physics 2021-05-25 Matteo Seclì , Tomoki Ozawa , Massimo Capone , Iacopo Carusotto

We study the topological optical states in one-dimensional (1D) dimerized ultracold atomic chains, as an extension of the Su-Schrieffer-Heeger (SSH) model. By taking the fully retarded near-field and far-field dipole-dipole interactions…

Optics · Physics 2018-08-15 B. X. Wang , C. Y. Zhao
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