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Topological edge states in electromagnetic systems feature a set of attracting fundamental properties and unveil prospective applications based on disorder robustness and tailored localization. Despite active efforts in implementing…

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

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

Search for higher-order topological insulators, characterized by topologically protected gapless boundary states of codimension higher than one, in bosonic systems has attracted growing interest. Here, we establish twisted bilayer honeycomb…

Strongly Correlated Electrons · Physics 2023-01-16 Chun-Bo Hua , Feiping Xiao , Zheng-Rong Liu , Jin-Hua Sun , Jin-Hua Gao , Chui-Zhen Chen , Qingjun Tong , Bin Zhou , Dong-Hui Xu

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

Recently, the higher-order topological phases from the chiral AIII symmetry classes are characterized by a Z topological invariant known as the multipole chiral numbers, which indicate the number of degenerate zero-energy corner states at…

Mesoscale and Nanoscale Physics · Physics 2023-05-19 Yuzeng Li , Qicheng Zhang , Chunyin Qiu

High-order topological insulators (TIs) develop the conventional bulk-boundary correspondence theory and rise the interest in searching innovative topological materials. To realize a high-order TI with a wide passband of 1D and 2D…

Applied Physics · Physics 2022-12-02 Fei Meng , Yafeng Chen , Weibai Li , Baohua Jia , Xiaodong Huang

I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

Optics · Physics 2025-03-03 Yaroslav V. Kartashov

Recently, there have been significant efforts to guide mechanical energy in structures by relying on a novel topological framework popularized by the discovery of topological insulators. Here, we propose a topological metamaterial system…

Mesoscale and Nanoscale Physics · Physics 2018-01-11 Ying Wu , Rajesh Chaunsali , Hiromi Yasuda , Kaiping Yu , Jinkyu Yang

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

Recent advancements in topological metamaterials have unveiled fruitful physics and numerous applications. Whereas initial efforts focus on achieving topologically protected edge states through principles of structural symmetry, the…

Applied Physics · Physics 2024-09-13 Shuaifeng Li , Yubin Oh , Seong Jae Choi , Panayotis G. Kevrekidis , Jinkyu Yang

Conventional topological insulators support boundary states that have one dimension lower than the bulk system that hosts them, and these states are topologically protected due to quantized bulk dipole moments. Recently, higher-order…

Mesoscale and Nanoscale Physics · Physics 2020-07-24 Avik Dutt , Momchil Minkov , Shanhui Fan

The classification of materials into insulators and conductors has been shaken up by the discovery of topological insulators that conduct robustly at the edge but not in the bulk. In mechanics, designating a material as insulating or…

Soft Condensed Matter · Physics 2016-11-15 Anne S. Meeussen , Jayson Paulose , Vincenzo Vitelli

Higher-order topological insulators (HOTIs) are a novel type of topological phases which supports $d$-dimensional topological boundary states in $D$-dimensional systems with $D-d>1$. In this work, we theoretically predict that interlayer…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Jiang Yao , Linhu Li

Topological interface states in periodic lattices have emerged as valuable assets in the fields of electronics, photonics, and phononics, owing to their inherent robustness against disorder. Unlike electronics and photonics, the linear…

We show that the gapless boundary signatures - namely, chiral/helical hinge modes or localized zero modes - of three-dimensional higher-order topological insulators and superconductors with inversion symmetry can be gapped without symmetry…

Strongly Correlated Electrons · Physics 2022-09-27 Ming-Hao Li , Titus Neupert , S. A. Parameswaran , Apoorv Tiwari

Precise manipulation of the direction and re-direction of vibrational wave energy is a key demand in wave physics and engineering. We consider the paradigm of a finite frame-like structure and the requirement to channel energy away from…

Topological states of quantum matter exhibit unique disorder-immune surface states protected by underlying nontrivial topological invariants of the bulk. Such immunity from backscattering makes topological surface or edge states ideal…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 S. Hossein Mousavi , Alexander B. Khanikaev , Zheng Wang

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high frequency spectral windows that are…

Topological phases have been explored in various fields in physics such as spintronics, photonics, liquid helium, correlated electron system and cold-atomic system. This leads to the recent foundation of emerging materials such as…

Mesoscale and Nanoscale Physics · Physics 2013-05-28 Ryuichi Shindou , Ryo Matsumoto , Shuichi Murakami , Jun-ichiro Ohe