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The discovery of topological phases has recently led to a paradigm shift in condensed matter physics, and facilitated breakthroughs in engineered photonics and acoustic metamaterials. Topological insulators (TIs) enable the generation of…

Higher-order topological insulators (HOTIs) have attracted much attention in photonics due to the tightly localized disorder-robust corner and hinge states. Here, we reveal an unconventional HOTI phase with vanishing dipole and quadrupole…

Optics · Physics 2022-05-25 Maxim Mazanov , Maxim A. Gorlach

Higher-order topological insulators (HOTI) are a novel topological phase beyond the framework of the conventional bulk-boundary correspondence. In these peculiar systems, the topologically nontrivial boundary modes are characterized by a…

The studies of topological phases of matter have been extended from condensed matter physics to photonic systems, resulting in fascinating designs of robust photonic devices. Recently, higher-order topological insulators (HOTIs) have been…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Bi-Ye Xie , Guang-Xu Su , Hong-Fei Wang , Hai Su , Xiao-Peng Shen , Peng Zhan , Ming-Hui Lu , Zhen-Lin Wang , Yan-Feng Chen

Topological states nurtures the emergence of devices with unprecedented functions in photonics, plasmonics, acoustics and phononics. As one of the recently discovered members, higher-order topological insulators (HOTIs) have been…

Materials Science · Physics 2021-06-17 Biye Xie , Hai-Xiao Wang , Xiujuan Zhang , Peng Zhan , Jian-Hua Jiang , Minghui Lu , Yanfeng Chen

The emerging field of topology has brought device effects to a new level. Higher-order topological insulators (HOTIs) go beyond traditional descriptions of bulk-edge correspondence, broadening the understanding of topologically insulating…

Optics · Physics 2024-04-03 Hui Chang Li , Xiang Zhou , Hai Lin Chi , Wen Wen Wang , Yun Shen , Xiao Hua Deng

Higher-order topological insulators (HOTIs) which go beyond the description of conventional bulk-boundary correspondence, broaden the understanding of topological insulating phases. Being mainly focused on electronic materials, HOTIs have…

Materials Science · Physics 2018-12-05 Bi Ye Xie , Hong Fei Wang , Hai-Xiao Wang , Xue Yi Zhu , Jian-Hua Jiang , Ming Hui Lu , Yan Feng Chen

Synchronized rotation of unit cells in a periodic structure provides a novel design perspective for manipulation of band topology. We then design a two-dimensional version of higher-order topological insulators (HOTI), by such rotation in a…

Optics · Physics 2022-05-05 R. Zhou , H. Lin , Y. Wu , Z. Li , Z. Yu , Y. Liu , Dong-Hui Xu

Topological photonic systems represent a new class of optical materials supporting boundary modes with unique properties, not found in conventional photonics. While the early research on topological photonics has focused on edge and surface…

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

Square-root higher-order topological insulators (HOTIs) are recently discovered new topological phases, with intriguing topological properties inherited from a parent lattice Hamiltonian. Different from conventional HOTIs, the square-root…

Photonic topological states, providing light-manipulation approaches in robust manners, have attracted intense attention. Connecting photonic topological states with far-field degrees of freedom(DoFs) has given rise to fruitful phenomena.…

The discovery of photonic higher-order topological insulators (HOTIs) has significantly expanded our understanding of band topology and provided unprecedented lower-dimensional topological boundary states for robust photonic devices.…

Topological phases open a door to such intriguing phenomena as unidirectional propagation and disorder-resilient localization at a stable frequency. Recently discovered higher-order topological phases further extend the concept of…

Mesoscale and Nanoscale Physics · Physics 2022-06-02 A. A. Stepanenko , M. D. Lyubarov , M. A. Gorlach

Topological photonics revolutionizes some of the traditional approaches to light propagation and manipulation, and it provides unprecedented means for developing novel photonic devices. Recently discovered higher-order topological phases go…

Applied Physics · Physics 2020-05-06 Yafeng Chen , Fei Meng , Yuri Kivshar , Baohua Jia , Xiaodong Huang

The orbital degrees of freedom play a pivotal role in understanding fundamental phenomena in solid-state materials as well as exotic quantum states of matter including orbital superfluidity and topological semimetals. Despite tremendous…

Higher-order topological insulators (HOTIs) are unique topological materials supporting edge states with the dimensionality at least by two lower than the dimensionality of the underlying structure. HOTIs were observed on lattices with…

Recently, high-order topological insulators (HOTIs), accompanied by topologically nontrivial boundary states with codimension larger than one, have been extensively explored because of unconventional bulk-boundary correspondences. As a…

Over the past decades, high-harmonic spectroscopy (HHS) has emerged as a powerful tool for all-optical probing of topological properties of solids. There are outstanding questions regarding universal nature of the spectral features of…

Higher-order topological insulators (HOTIs) are recently discovered topological phases, possessing symmetry-protected corner states with fractional charges. An unexpected connection between these states and the seemingly unrelated…

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