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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

Topological acoustics is an emerging field that lies at the intersection of condensed matter physics, mechanical structural design and acoustics engineering. It explores the design and construction of novel artificial structures, such as…

Applied Physics · Physics 2023-03-01 Haoran Xue , Yihao Yang , Baile Zhang

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

Recent discoveries of topological phases realized in electronic states in solids have revealed an important role of topology, which ubiquitously appears in various materials in nature. Many well-known materials have turned out to be…

Materials Science · Physics 2018-09-14 Motoaki Hirayama , Satoru Matsuishi , Hideo Hosono , Shuichi Murakami

Topological materials for classical waves offer remarkable potential in applications such as sensing, waveguiding and signal processing, leveraging topological protection effects like strong robustness, immunity to backscattering and…

Applied Physics · Physics 2025-03-11 Gang-Gang Xu , Xiao-Shuang Li , Tian-Xue Ma , Xi-Xian Liu , Xiao-Wei Sun , Yue-Sheng Wang

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

Although topological mechanical metamaterials have been extensively studied from a theoretical perspective, their experimental characterization has been lagging. To address this shortcoming, we present a systematic laser-assisted…

Materials Science · Physics 2018-09-12 Jihong Ma , Di Zhou , Kai Sun , Xiaoming Mao , Stefano Gonella

Convection offers a dynamic and flexible approach to achieving a variety of novel physical phenomena beyond pure conduction. Here, we demonstrate that thermal metamaterials with convection modulation enable the realization of non-Hermitian…

Applied Physics · Physics 2025-01-29 Zhoufei Liu , Jiping Huang , Ying Li

Topology in condensed matter physics manifests itself in the emergence of edge or surface states protected by underlying symmetries. We review two-dimensional topological insulators whose one-dimensional edge states are characterized by…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Giacomo Dolcetto , Maura Sassetti , Thomas L. Schmidt

Topological insulators are insulators in the bulk but feature chiral energy propagation along the boundary. This property is topological in nature and therefore robust to disorder. Originally discovered in electronic materials,…

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

Materials Science · Physics 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Unveiling intrinsic spins of propagating waves usually offers people a fundamental understanding of the geometrical and topological properties of waves from classical to quantum aspects. A great variety of research has shown that transverse…

Mesoscale and Nanoscale Physics · Physics 2018-11-14 Yang Long , Jie Ren , Hong Chen

Although metamaterials have been widely used for controlling elastic waves through bandgap engineering, the directed guidance of stress waves in non-periodic structures has remained a challenge. This work demonstrates that spatially graded…

Applied Physics · Physics 2023-10-20 Charles Dorn , Dennis M. Kochmann

Topological insulators represent unique phases of matter with insulating bulk and conducting edge or surface states, immune to small perturbations such as backscattering due to disorder. This stems from their peculiar band structure, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-01 Jérôme Cayssol , Balázs Dóra , Ferenc Simon , Roderich Moessner

The surface of a topological insulator hosts Dirac electronic states with the spin-momentum locking, which constrains spin orientation perpendicular to electron momentum. As a result, collective plasma excitations in the interacting Dirac…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Dmitry K. Efimkin , Mehdi Kargarian

Three-dimensional (3D) topological insulators (TI) are novel quantum materials with insulating bulk and topologically protected metallic surfaces with Dirac-like band structure. The spin-helical Dirac surface states are expected to host…

We investigate the occurrence of topologically protected waves in classical fluids confined on curved surfaces. Using a combination of topological band theory and real space analysis, we demonstrate the existence of a system-independent…

Soft Condensed Matter · Physics 2020-11-25 Richard Green , Jay Armas , Jan de Boer , Luca Giomi

The ability to design and fabricate materials with tailored mechanical properties, combined with immunity to damage, is a frontier of materials engineering. For example, materials which are characterized by elastic properties that depend on…

Soft Condensed Matter · Physics 2017-07-07 Osama R. Bilal , Roman Süsstrunk , Chiara Daraio , Sebastian D. Huber
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