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Higher-order topological insulators harbor unique corner modes that hold immense potential for applications in information storage. However, the practical manipulation of these states has been constrained by the fixed positions and energies…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Rui Chen , Bin Zhou , Dong-Hui Xu

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

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

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

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…

Topological phases of matter have been extensively studied for their intriguing bulk and edge properties. Recently, higher-order topological insulators with boundary states that are two or more dimensions lower than the bulk states, have…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , 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

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

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

We propose magnetic second-order topological insulators (SOTIs). First, we study a three-dimensional model. It is pointed out that the previously proposed topological hinge insulator has actually surface states along the [001] direction in…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Motohiko Ezawa

The higher-order topological insulator (HOTI) is a new type of topological system which has special bulkedge correspondence compared with conventional topological insulators. In this work, we propose a scheme to realize Floquet HOTI in…

Quantum Gases · Physics 2022-06-29 Ying Lei , Xi-Wang Luo , Shaoliang Zhang

Floquet higher order topological insulators (FHOTIs) are a novel topological phase that can occur in periodically driven lattices. An appropriate experimental platform to realize FHOTIs has not yet been identified. We introduce a…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Weiwei Zhu , Y. D. Chong , Jiangbin Gong

Higher Order Topological Insulators (HOTI) are $d$-spatial dimensional systems featuring topologically protected gap-less states at their $(d-n)$-dimensional boundaries. With the help of \textit{ab-initio} calculations and tight binding…

Materials Science · Physics 2020-09-09 Santosh Kumar Radha , Walter R. L. Lambrecht

Quantum simulators are an essential tool for understanding complex quantum materials. Platforms based on ultracold atoms in optical lattices and photonic devices led the field so far, but electronic quantum simulators are proving to be…

Mesoscale and Nanoscale Physics · Physics 2019-11-25 S. N. Kempkes , M. R. Slot , J. J. van den Broeke , P. Capiod , W. A. Benalcazar , D. Vanmaekelbergh , D. Bercioux , I. Swart , C. Morais Smith

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…

Quadrupole phase, as a novel high-order topological phase, exhibits nontrivial gapless states at the boundaries whose dimension is lower than bulk by two. However, this phase has not been observed experimentally in two-dimensional (2D)…

Materials Science · Physics 2022-11-03 Z. H. Li , P. Zhou , Q. H. Yan , X. Y. Peng , Z. S. Ma , L. Z. Sun

We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT insulators, accommodating topological corner states, we…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

Quadrupole topological phases, exhibiting protected boundary states that are themselves topological insulators of lower dimensions, have recently been of great interest. Extensions of these ideas from current tight binding models to…

Optics · Physics 2020-07-15 Li He , Zachariah Addison , Eugene J. Mele , Bo Zhen

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

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