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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…

介观与纳米尺度物理 · 物理学 2020-01-08 Xiujuan Zhang , Bi-Ye Xie , Hong-Fei Wang , Xiangyuan Xu , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

The recent discovery of higher-order topological insulators (TIs) has opened new possibilities in the search for novel topological materials and metamaterials. Second-order TIs have been implemented in two-dimensional (2D) systems…

介观与纳米尺度物理 · 物理学 2019-07-03 Haoran Xue , Yahui Yang , Guigeng Liu , Fei Gao , Yidong Chong , Baile Zhang

Higher order topological insulators are a new class of topological insulators in dimensions $\rm d>1$. These higher-order topological insulators possess $\rm (d - 1)$-dimensional boundaries that, unlike those of conventional topological…

介观与纳米尺度物理 · 物理学 2021-07-05 Arijit Saha , Arun M. Jayannavar

As the novel topological states, the higher-order topological insulators have attracted great attentions in the past years. However, their realizations in realistic materials, in particular in two dimensional systems, remains the big…

The mathematical field of topology has become a framework to describe the low-energy electronic structure of crystalline solids. A typical feature of a bulk insulating three-dimensional topological crystal are conducting two-dimensional…

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

强关联电子 · 物理学 2012-01-26 M. Zahid Hasan , Joel E. Moore

Higher-order topological phases of matter have been extensively studied in various areas of physics. While the Aubry-Andr\'e-Harper model provides a paradigmatic example to study topological phases, it has not been explored whether a…

介观与纳米尺度物理 · 物理学 2020-07-17 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

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

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

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence…

材料科学 · 物理学 2020-01-30 Eunwoo Lee , Rokyeon Kim , Junyeong Ahn , Bohm-Jung Yang

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

介观与纳米尺度物理 · 物理学 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

介观与纳米尺度物理 · 物理学 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

Second-order topological insulators can be characterized by their bulk polarization, which is believed to be intrinsically connected to the center of the Wannier function. In this study, we demonstrate the existence of second-order…

介观与纳米尺度物理 · 物理学 2024-05-06 Zhenzhen Liu , Xiaoxi Zhou , Guochao Wei , Lei Gao , Bo hou , Jun-Jun Xiao

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

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

介观与纳米尺度物理 · 物理学 2017-08-18 Arijit Saha , Arun M. Jayannavar

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…

材料科学 · 物理学 2018-12-05 Bi Ye Xie , Hong Fei Wang , Hai-Xiao Wang , Xue Yi Zhu , Jian-Hua Jiang , Ming Hui Lu , Yan Feng Chen

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)…

材料科学 · 物理学 2022-11-03 Z. H. Li , P. Zhou , Q. H. Yan , X. Y. Peng , Z. S. Ma , L. Z. Sun

The emergent higher-order topological insulators significantly deepen our understanding of topological physics. Recently, the study has been extended to topological semimetals featuring gapless bulk band nodes. To date, higherorder nodal…

材料科学 · 物理学 2023-11-30 Huahui Qiu , Yuzeng Li , Qicheng Zhang , Chunyin Qiu

We report appearance of non-trivial zero energy corner modes in the form of topological defects (trimers) in a carefully designed 2D crystalline topological insulator. The proposed scenario is developed via an unconventional stacking of 1D…

强关联电子 · 物理学 2025-08-19 Manideep Gone , Srijata Lahiri , Nabyendu Das

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…

介观与纳米尺度物理 · 物理学 2020-07-24 Avik Dutt , Momchil Minkov , Shanhui Fan
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