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The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that analytical solutions to problems of mechanics of discrete…

Classical Physics · Physics 2022-01-31 Nadezhda I. Aleksandrova

Topological mechanical metamaterials have been widely explored for their boundary states, which can be robustly isolated or transported in a controlled manner. However, such systems often require pre-configured design or complex active…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 Yasuhiro Miyazawa , Chun-Wei Chen , Rajesh Chaunsali , Timothy S. Gormley , Gloria Yin , Georgios Theocharis , Jinkyu Yang

Three-dimensional higher-order topological insulators can have topologically protected chiral modes propagating on their hinges. Hinges with two co-propagating chiral modes can serve as a "beam splitter" between hinges with only a single…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Adam Yanis Chaou , Piet W. Brouwer , Nicholas Sedlmayr

Bound states of two interacting particles moving on a lattice can exhibit remarkable features that are not captured by the underlying single-particle picture. Inspired by this phenomenon, we introduce a novel framework by which genuine…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 Grazia Salerno , Giandomenico Palumbo , Nathan Goldman , Marco Di Liberto

Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graphene, and later in photonic crystals and other physical…

Mathematical Physics · Physics 2026-03-31 Xuenan Li , Michael I. Weinstein

Hexagonal two-dimensional materials with broken inversion symmetry (as BN or transition metal dichalcodenides) are known to sustain chiral phonons with finite angular momentum, adding a further useful degree of freedom to the extraordinary…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Habib Rostami , Francisco Guinea , Emmanuele Cappelluti

Chiral magnetic textures are key for the development of modern spintronic devices. In multilayered thin films, these are typically stabilized via the interfacial intralayer Dzyaloshinskii-Moriya interaction (DMI). Additionally, it has been…

We investigate topological properties of a chiral honeycomb lattice model with next-nearest-neighbor hoppings characterized by the reflection symmetry breaking. Topological nontriviality is detected by analyzing effective Dirac Hamiltonian,…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Genki Yonezawa , Jun-ichi Fukuda , Toshikaze Kariyado

By means of a microwave tight-binding analogue experiment of a graphene-like lattice, we observe a topological transition between a phase with a point-like band gap characteristic of massless Dirac fermions and a gapped phase. By applying a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Matthieu Bellec , Ulrich Kuhl , Gilles Montambaux , Fabrice Mortessagne

When a solid body floats at the interface of a vibrating liquid bath, the relative motion between the object and interface generates outwardly propagating surface waves. It has recently been demonstrated that millimetric objects with…

Numerical simulations shed light on control of shear elastic wave propagation in plates structured with inertial resonators. The structural element is composed of a heavy core connected to the main freestanding plate through tiny ligaments.…

Materials Science · Physics 2015-07-21 Younes Achaoui , André Diatta , Sébastien Guenneau

Equilibrium properties and localised magnon excitations are investigated in topologically distinct skyrmionic textures. The observed shape of the structures and their orientation on the lattice is explained based on their vorticities and…

Materials Science · Physics 2020-11-17 Levente Rózsa , Markus Weißenhofer , Ulrich Nowak

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…

Much of the recent enthusiasm directed towards topological insulators as a new state of matter is motivated by their hallmark feature of protected chiral edge states. In fermionic systems, Kramers degeneracy gives rise to these entities in…

Linear and nonlinear mechanisms for conical wave propagation in two-dimensional lattices are explored in the realm of phononic crystals. As a prototypical example, a statically compressed granular lattice of spherical particles arranged in…

Pattern Formation and Solitons · Physics 2016-02-17 C. Chong , P. G. Kevrekidis , M. J. Ablowitz , Yi-Ping Ma

The spin 1 bilinear-biquadratic model on square lattice in the region $0<\phi<\pi/4$ is studied in a fermion representation with a p-wave pairing BCS type mean-field theory. Our results show there may exist a non-trivial gapped spin liquid…

Strongly Correlated Electrons · Physics 2015-06-12 Peng Li , Su-Peng Kou

We propose multi-layer moire structures in strong external magnetic fields as a novel platform for realizing highly-tunable, frustrated Hubbard physics with topological order. Identifying the layer degree of freedom as a pseudo spin, allows…

Strongly Correlated Electrons · Physics 2024-05-09 Clemens Kuhlenkamp , Wilhelm Kadow , Atac Imamoglu , Michael Knap

Some important features of the graphene physics can be reproduced by loading ultracold fermionic atoms in a two-dimensional optical lattice with honeycomb symmetry and we address here its experimental feasibility. We analyze in great…

Quantum Physics · Physics 2009-10-27 Kean Loon Lee , Benoit Gremaud , Rui Han , Berthold-Georg Englert , Christian Miniatura

We introduce topological non-trivial colorful regions around intersection points of two perpendicular vortex pairs and investigate their influence on topological charge density and eigenmodes of the Dirac operator. With increasing distance…

High Energy Physics - Lattice · Physics 2017-09-20 Seyed Mohsen Hosseini Nejad , Manfried Faber

The strong chiral light-matter interaction is crucial for various important fields such as chiral optics, quantum optics, and biomedical optics, driving a quest for the extreme intrinsic chirality assisted by ultrahigh quality ($Q$-) factor…

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