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Topological multipole insulators are a class of higher order topological insulators (HOTI) in which robust fractional corner charges appear due to a quantized electric multipole moment of the bulk. This bulk-corner correspondence has been…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 S. Franca , J. van den Brink , I. C. Fulga

Higher order topological insulators (HOTIs) are a new class of topological materials which host protected states at the corners or hinges of a crystal. HOTIs provide an intriguing alternative platform for helical and chiral edge states and…

Materials Science · Physics 2021-07-27 Leena Aggarwal , Penghao Zhu , Taylor L. Hughes , Vidya Madhavan

We report the discovery of several classes of novel topological insulators (TIs) with hybrid-order boundary states generated from the first-order TIs with additional crystalline symmetries. Unlike the current studies on hybrid-order TIs…

Mesoscale and Nanoscale Physics · Physics 2025-05-09 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

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

Higher order topological insulators (HOTI) have emerged as a new class of phases, whose robust in-gap "corner" modes arise from the bulk higher-order multipoles beyond the dipoles in conventional topological insulators. Here, we incorporate…

Strongly Correlated Electrons · Physics 2020-06-02 Biao Huang , W. Vincent Liu

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

Mesoscale and Nanoscale Physics · Physics 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

Topological insulators with unique gapless edge states have revolutionized the understanding of electronic properties in solid materials. These gapless edge states are dictated by the topological invariants associated with the quantization…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Xiujuan Zhang , Hai-Xiao Wang , Zhi-Kang Lin , Yuan Tian , Biye Xie , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

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

Ferroelectric higher-order topological insulators (HOTIs) exhibit tunable physical properties arising from the interplay between ferroelectric polarization and band topology. This work investigates the topological origin of two classes of…

Materials Science · Physics 2026-04-21 YingJie Hu , Heng Gao , Yabei Wu , Wei Ren

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 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…

Higher order topological insulators (HOTIs) are a novel form of insulating quantum matter, which are characterized by having gapped boundaries that are separated by gapless corner or hinge states. Recently, it has been proposed that the…

Strongly Correlated Electrons · Physics 2021-08-25 Julian May-Mann , Taylor L. Hughes

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.…

Two-dimensional (2D) generalization of the Su-Schriffer-Heeger (SSH) model serves as a platform for exploring higher-order topological insulators (HOTI). We investigate this model in a magnetic field which interpolates two models studied so…

Mesoscale and Nanoscale Physics · Physics 2019-12-13 Y. Otaki , T. Fukui

The properties of topological systems are inherently tied to their dimensionality. Higher-dimensional physical systems exhibit topological properties not shared by their lower dimensional counterparts and, in general, offer richer physics.…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Kai Chen , Matthew Weiner , Mengyao Li , Xiang Ni , Andrea Alù , Alexander B. Khanikaev

Current understanding of higher-order topological insulators (HOTIs) is based primarily on crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals. Specifically, we show that two distinct types of second-order…

Mesoscale and Nanoscale Physics · Physics 2020-01-24 Rui Chen , Chui-Zhen Chen , Jin-Hua Gao , Bin Zhou , Dong-Hui Xu

The higher order topological insulator (HOTI) has enticed enormous research interests owing to its novelty in supporting gapless states along the hinges of the crystal. Despite several theoretical predictions, enough experimental…

Higher-order topological insulators (HOTIs) are described by symmetric exponentially decayed Wannier functions at some $necessary$ unoccupied Wyckoff positions and classified as obstructed atomic insulators (OAIs) in the topological quantum…

Materials Science · Physics 2022-10-27 Da-Shuai Ma , Kejun Yu , Xiao-Ping Li , Xiaoyuan Zhou , Rui Wang

We show that the chiral Dirac and Majorana hinge modes in three-dimensional higher-order topological insulators (HOTIs) and superconductors (HOTSCs) can be gapped while preserving the protecting $\mathsf{C}_{2n}\mathcal T$ symmetry upon the…

Strongly Correlated Electrons · Physics 2020-02-20 Apoorv Tiwari , Ming-Hao Li , B. A. Bernevig , Titus Neupert , S. A. Parameswaran