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A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet, these corner modes do not carry a clear…

介观与纳米尺度物理 · 物理学 2020-10-09 Guido van Miert , Carmine Ortix

We investigate a higher-order topological insulator (HOTI) under strong nonlinearity, focusing on the existence and stability of high-amplitude corner states, which can find applications in optics, acoustics, elastodynamics, and other…

介观与纳米尺度物理 · 物理学 2024-09-27 K Prabith , Georgios Theocharis , Rajesh Chaunsali

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…

High-order topological insulators (TIs) are a family of recently-predicted topological phases of matter obeying an extended topological bulk-boundary correspondence principle. For example, a two-dimensional (2D) second-order TI does not…

介观与纳米尺度物理 · 物理学 2020-06-17 Haoran Xue , Yahui Yang , Fei Gao , Yidong Chong , Baile Zhang

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

强关联电子 · 物理学 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

A two-dimensional second-order topological insulator exhibits topologically protected zero-energy states at its corners. In the literature, the breathing kagome lattice with nearest-neighbor hopping is often mentioned as an example of a…

介观与纳米尺度物理 · 物理学 2024-12-31 Clara K. Geschner , Adam Yanis Chaou , Vatsal Dwivedi , Piet W. Brouwer

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…

A Kagome lattice, formed by triangles of two different directions, is known to have many emergent quantum phenomena. Under the breathing anisotropy of bond strengths, this lattice can become a higher-order topological insulator (HOTI),…

介观与纳米尺度物理 · 物理学 2022-02-24 Jun Jung , Yong-Hyun Kim

Higher-order topological insulator (HOTI) represents a new phase of matter, the characterization of which goes beyond the conventional bulk-boundary correspondence and is attracting significant attention by the broad community. Using a…

介观与纳米尺度物理 · 物理学 2020-11-17 Lingling Song , Huanhuan Yang , Yunshan Cao , Peng Yan

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…

量子气体 · 物理学 2022-06-29 Ying Lei , Xi-Wang Luo , Shaoliang Zhang

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…

光学 · 物理学 2021-10-12 Wenchao Yan , Daohong Song , Shiqi Xia , Junfang Xie , Liqin Tang , Jingjun Xu , Zhigang Chen

Higher-order topological insulators (HOTIs) are a newly discovered class of topological insulators which exhibit unconventional bulk-boundary correspondence. Very recently, the concept of HOTIs has been extended to aperiodic…

介观与纳米尺度物理 · 物理学 2020-12-03 Chun-Bo Hua , Rui Chen , Bin Zhou , Dong-Hui Xu

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…

光学 · 物理学 2022-05-05 R. Zhou , H. Lin , Y. Wu , Z. Li , Z. Yu , Y. Liu , Dong-Hui Xu

Higher-order topological insulators (HOTIs) have attracted increasing interest as a unique class of topological quantum materials. One distinct property of HOTIs is the crystalline symmetry-imposed topological state at the lower-dimensional…

材料科学 · 物理学 2023-07-25 Xiaoyin Li , Feng Liu

Pursuing topological phase and matter in a variety of systems is one central issue in current physical sciences and engineering. Motivated by the recent experimental observation of corner states in acoustic and photonic structures, we…

介观与纳米尺度物理 · 物理学 2020-05-14 Z. -X. Li , Yunshan Cao , Peng Yan , X. R. Wang

In this work we develop a theoretical framework for the control of corner modes in higher-order topological insulators (HOTIs) featuring long-range hoppings and diverse geometries, enabling precise tunability of their spatial positions.…

介观与纳米尺度物理 · 物理学 2025-09-04 Fang Qin , Rui Chen

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…

A second-order topological insulator in $d$ dimensions is an insulator which has no $d-1$ dimensional topological boundary states but has $d-2$ dimensional topological boundary states. It is an extended notion of the conventional…

介观与纳米尺度物理 · 物理学 2018-01-16 Motohiko Ezawa

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…

强关联电子 · 物理学 2021-08-25 Julian May-Mann , Taylor L. Hughes
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