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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

We investigate the existence of interface states induced by broken inversion symmetries in two-dimensional quasicrystal lattices. We introduce a 10-fold rotationally symmetric quasicrystal lattice whose inversion symmetry is broken through…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Danilo Beli , Matheus I. N. Rosa , Luca Lomazzi , Carlos De Marqui , Massimo Ruzzene

Time has entered the domain of topological phases in the field of non-Hermitian physics. Previous studies have relied on periodic modulation in time to make an intuitive connection to established spatial topological invariants, albeit with…

The electronic structure at the interface between a topological band insulator and a Mott insulator is studied within layer dynamical mean field theory. To represent the bulk phases of these systems, we use the generalized…

Strongly Correlated Electrons · Physics 2015-06-22 H. Ishida , A. Liebsch

We provide a detailed description of our previously proposed scheme for topological interface engineering with constructed defects and textures perforating across coherent interfaces between different broken symmetries [M. O. Borgh and J.…

Quantum Gases · Physics 2013-04-23 Magnus O. Borgh , Janne Ruostekoski

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Topological boundary states localize at interfaces whenever the interface implies a change of the associated topological invariant encoded in the geometric phase. The generically present dynamic phase, however, which is energy and time…

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Topological insulators exhibit boundary states protected by bulk band topology, a principle first established in quantum systems and later extended to classical waves, including phononics. Conventionally, an $n$-dimensional bulk with…

Mesoscale and Nanoscale Physics · Physics 2025-11-26 Joel R. Pyfrom , Kai Sun , Jihong A. Ma

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

It is recent that the emergence of topological insulators in condensed matter physics has inspired analogous wave phenomena in mechanical systems, mostly in the setting of discrete lattice models. Here we report a numerical and experimental…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Rajesh Chaunsali , Chun-Wei Chen , Jinkyu Yang

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

Topological interface states (TISs) in phononic crystals (PnCs) are robust acoustic modes against external perturbations, which are of great significance in scientific and engineering communities. However, designing a pair of PnCs with…

Applied Physics · Physics 2025-02-18 Xue-Qian Zhang , Yi-Da Liu , Xiao-Shuang Li , Tian-Xue Ma , Yue-Sheng Wang , Zhuo Zhuang

We consider a junction between two topological insulators, and calculate the properties of the interface states with an effective low energy Hamiltonian for topological insulators with a single cone on the surface. This system bears a close…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Christophe De Beule , Bart Partoens

When semi-infinite phononic crystals (PCs) are in contact, localized modes may exist at their boundary. The central question is generally to predict their existence and to determine their stability. With the rapid expansion of the field of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Antonin Coutant , Bruno Lombard

Multi-stable mechanical structures find cutting-edge applications across various domains due to their reconfigurability, which offers innovative possibilities for engineering and technology advancements. This study explores the emergence of…

Applied Physics · Physics 2024-02-13 Zhen Wang , Feiyang Sun , Xiaodong Xu , Xin Li , Chuanqing Chen , Minghui Lu

The application of topology in optics has led to a new paradigm in developing photonic devices with robust properties against disorder. Although significant progress on topological phenomena has been achieved in the classical domain, the…

Acousto-optic interaction in optomechanical crystals allows unidirectional control of elastic waves over optical waves. However, as a result of this nonlinear interaction, infinitely many optical modes are born. This article presents an…

Mesoscale and Nanoscale Physics · Physics 2016-09-05 Sina Khorasani

We report on the experimental observation of topologically protected edge waves in a two-dimensional elastic hexagonal lattice. The lattice is designed to feature K point Dirac cones that are well separated from the other numerous elastic…

Materials Science · Physics 2017-10-25 Javier Vila , Raj K. Pal , Massimo Ruzzene

Topological insulators are unique devices supporting unidirectional edge states at their interfaces. Due to topological protection, such edge states persist in the presence of disorder and do not experience backscattering upon interaction…