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Monolayers of transition metal dichalcogenides (TMDs) in the 2H structural phase have been recently classified as higher-order topological insulators (HOTI), protected by $C_3$ rotation symmetry. In addition, theoretical calculations show…

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

介观与纳米尺度物理 · 物理学 2019-07-24 Raquel Queiroz , Ady Stern

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

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…

介观与纳米尺度物理 · 物理学 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

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

Second-order topological insulators (SOTIs) are the topological phases of matter in d dimensions that manifest (d-2)-dimensional localized modes at the intersection of the edges. We show that SOTIs can be designed via stacked Chern…

介观与纳米尺度物理 · 物理学 2020-09-22 Ce Shang , Xiaoning Zang , Wenlong Gao , Udo Schwingenschlögl , Aurélien Manchon

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, including the conventional first-order and higher-order topological insulators and semimetals, have emerged as a thriving topic in the fields of condensed-matter physics and material science. Usually, a topological…

介观与纳米尺度物理 · 物理学 2021-04-21 Yating Yang , Jiuyang Lu , Mou Yan , Xueqin Huang , Weiyin Deng , Zhengyou Liu

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

We introduce higher order polariton topological insulator (HOTI) realized with fractal array of microcavity pillars arranged into Sierpinski gasket-like geometry. This system exhibiting self similarity in different generations, can support…

光学 · 物理学 2025-11-27 Khalil Sabour , Yaroslav V. Kartashov

Gyromorphs are a new class of disordered systems that combine an amorphous-like absence of translational order with quasi-long-range rotational order. Gyromorphs can outperform quasicrystals or hyperuniform arrangements in forming isotropic…

无序系统与神经网络 · 物理学 2026-03-03 Laura Gómez Paz , Justin Schirmann , Adam Yanis Chaou , Isidora Araya Day , Adolfo G. Grushin

Quasi-1D materials Bi$_{4}$X$_{4}$ (X=Br,I) are prototype weak topological insulators (TI) in the $\beta$ phase. For the $\alpha$ phases, recent high-throughput database screening suggests that Bi$_{4}$Br$_{4}$ is a rare higher-order TI…

介观与纳米尺度物理 · 物理学 2020-06-01 Chiho Yoon , Cheng-Cheng Liu , Hongki Min , Fan Zhang

High-order topological insulators (HOTIs), as generalized from topological crystalline insulators (TCIs), are characterized with lower-dimensional metallic boundary states protected by spatial symmetries of a crystal, whose theoretical…

材料科学 · 物理学 2022-08-02 Citian Wang , Feng Liu , Huaqing Huang

This item from the News & Views category, to be published in Light: Science & Applications, aims to provide a summary of theoretical and experimental results recently published in Ref. [24], which demonstrate the creation of corner modes in…

光学 · 物理学 2024-12-03 Boris A. Malomed

Higher-order topological insulators (HOTIs) are unique materials hosting topologically protected states, whose dimensionality is at least by a factor of 2 lower than that of the bulk. Topological states in such insulators may be strongly…

Inspired by recent experimental observations of hybrid topological states [Hossain et al. Nature 628, 527 (2024)], we predict hybrid-order topological insulators in 1H transition metal compounds (TMCs), where both second-order and…

材料科学 · 物理学 2024-12-31 Ning-Jing Yang , Zhigao Huang , Jian-Min Zhang

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…

Corner states (CSs) in higher-order topological insulators (HOTIs) have recently been of great interest in both crystals and quasicrystals. In contrast to electronic systems, HOTIs have not been found in photonic quasicrystals (PQCs). Here,…

光学 · 物理学 2022-07-26 Langlang Xiong , Yu Zhang , Yufu Liu , Yaoxian Zheng , Xunya Jiang

Higher-order topological phases (HOTPs) hold gapped bulk bands and topological boundary states localized in boundaries with codimension higher than one. In this paper, we provide a unified construction and topological characterization of…

介观与纳米尺度物理 · 物理学 2022-12-09 Zhoutao Lei , Yuangang Deng , Linhu Li