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Altermagnet-superconductor heterostructures have been shown, in principle, to provide a route towards realising topological superconductivity, and therefore host topologically protected boundary states. In this work we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 George McArdle , Brian Kiraly , Peter Wadley , Adam Gammon-Smith

The coupled light-matter modes supported by plasmonic metasurfaces can be combined with topological principles to yield subwavelength topological valley states of light. We give a systematic presentation of the topological valley states…

Mesoscale and Nanoscale Physics · Physics 2020-02-11 Matthew Proctor , Paloma A. Huidobro , Stefan A. Maier , Richard V. Craster , Mehul P. Makwana

Type-II Dirac/Weyl points, although impermissible in particle physics due to Lorentz covariance, were uncovered in condensed matter physics, driven by fundamental interest and intriguing applications of topological materials. Recently,…

Different from the traditional bulk-edge correspondence principle, the discovery of higher-order topological states has generated widespread interest. In a second-order, two-dimensional elastic wave topological insulator, the fluctuation…

Applied Physics · Physics 2023-01-10 Ze Ma , Yang Liu , Yu-Xin Xie , Yue-Sheng Wang

We investigate domain walls between topologically ordered phases in two spatial dimensions and present a simple but general framework from which their degrees of freedom can be understood. The approach we present exploits the results on…

Mesoscale and Nanoscale Physics · Physics 2009-07-22 F. A. Bais , J. K. Slingerland , S. M. Haaker

Multi-band topological states enable robust and versatile wave manipulation across a variety of physical platforms. However, the emergence of multi-band topological states has relied on higher-frequency modes with complex spatial profiles,…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Keita Funayama , Kenichi Yatsugi , Hideo Iizuka

Topological acoustics has recently witnessed a spurt in research activity, owing to their unprecedented properties transcending typical wave phenomena. In recent years, the use of coupled arrays of acoustic chambers has gained popularity in…

Applied Physics · Physics 2023-05-04 Hasan Al Ba'ba'a , Kyung Hoon Lee , Qiming Wang

Previous works on deformed graphene predict the existence of valley-polarized states, however, optimal conditions for their detection remain challenging. We show that in the quantum Hall regime, edge-like states in strained regions can be…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 D. Faria , C. León , L. R. F. Lima , A. Latgé , N. Sandler

We study the edge states in graphene in the presence of a magnetic field perpendicular to the plane of the lattice. Most of the works done so far discuss the edge states in either zigzag or armchair edge graphene considering an isotropic…

Strongly Correlated Electrons · Physics 2011-12-06 Hari P. Dahal , Zi-Xiang Hu , N. A. Sinitsyn , Kun Yang , A. V. Balatsky

Motivated by a recent experimental demonstration of a chiral edge mode in an array of spinning gyroscopes, we theoretically study the coupled gyration modes of topological magnetic solitons, vortices and magnetic bubbles, arranged as a…

Other Condensed Matter · Physics 2017-08-21 Se Kwon Kim , Yaroslav Tserkovnyak

Localized nonlinear modes at valley-Hall interfaces in staggered photonic graphene can be described in the long-wavelength limit by a nonlinear Dirac-like model including spatial dispersion terms. It leads to a modified nonlinear…

We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally and theoretically in…

Pattern Formation and Solitons · Physics 2013-08-21 L. Q. English , F. Palmero , J. F. Stormes , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

We consider $30^{\circ}$ twisted bilayer formed by two copies of Haldane model and explore its evolution with varying interlayer coupling strength. Specifically, we compute the system's energy spectrum, its fractal dimensions, topological…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 Grigory Bednik

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

We experimentally realized wide-mode-area slow-light modes in valley photonic crystals (VPhCs) heterostructure waveguides. The waveguides are fabricated on a silicon slab by inserting gapless photonic graphene layers with varying widths and…

Topological photonic edge states are conventionally formed at the interface between two domains of topologically trivial and nontrivial photonic crystals. Recent works exploiting photonic quantum Hall and quantum valley Hall effects have…

Optics · Physics 2023-04-26 Zhihao Lan , Menglin L. N. Chen , Jian Wei You , Wei E. I. Sha

Conventional topological insulators exhibit exotic gapless edge or surface states, as a result of non-trivial bulk topological properties. In periodically-driven systems the bulk-boundary correspondence is fundamentally modified and…

Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Shenglong Guo , Qinhui Jiang , Yuma Kawaguchi , Bo Li , Mengyao Li

The honeycomb lattice in the cylinder geometry with zigzag edges, bearded edges, zigzag and bearded edges (zigzag-bearded), and armchair edges are studied. The tight-binding model with nearest-neighbor hoppings is used. Edge states are…

Mesoscale and Nanoscale Physics · Physics 2007-11-06 Mahito Kohmoto , Yasumasa Hasegawa

The breathing honeycomb lattice hosts a topologically non-trivial bulk phase due to the crystalline-symmetry of the system. Pseudospin-dependent edge states which emerge at the interface between trivial and non-trivial regions can be used…

Mesoscale and Nanoscale Physics · Physics 2020-09-25 Matthew Proctor , Xiaofei Xiao , Richard V. Craster , Stefan A. Maier , Vincenzo Giannini , Paloma Arroyo Huidobro