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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…

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

The higher-order topological insulator (HOTI) protected by spacial symmetry has been studied in-depth on models with square lattice. Our work, based on an alternative model on the breathing Kagome lattice, revealed that the different types…

强关联电子 · 物理学 2017-11-29 Yichen Xu , Ruolan Xue , Shaolong Wan

Recently, a new class of second-order topological insulators (SOTIs) characterized by an electronic dipole has been theoretically introduced and proposed to host topological corner states. As a novel topological state, it has been…

介观与纳米尺度物理 · 物理学 2021-10-14 Jiang Zeng , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie

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

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

We study the non-trivial phase of the two-dimensional breathing kagome lattice, displaying both edge and corner modes. The corner localized modes of a two-dimensional flake were initially identified as a signature of a higher-order…

介观与纳米尺度物理 · 物理学 2022-02-15 M. A. J. Herrera , S. N. Kempkes , M. Blanco de Paz , A. García-Etxarri I. Swart , C. Morais Smith , D. Bercioux

We propose a scheme to achieve breathing kagome moir\'e superlattices using three twisted layers of transition metal dichalcogenides. In this scheme, the top and bottom layers are twisted relative to the middle layer by small angles…

介观与纳米尺度物理 · 物理学 2025-03-18 Adrian Fedorko , Chao-Xing Liu , Zhen Bi

Magnetic kagome lattices have attracted much attention recently due to the interplay of band topology with magnetism and electronic correlations, which give rise to a variety of exotic quantum states. A common structural distortion of the…

材料科学 · 物理学 2025-07-17 Yu Xie , Ke Ji , Jun He , Xiaofan Shen , Dinghui Wang , Junting Zhang

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

The kagome lattice is renowned for its exotic electronic properties, such as flat bands, Dirac points, and Van Hove singularities. These features have provided a fertile ground for exploring exotic quantum phenomena. Here, we discover that…

介观与纳米尺度物理 · 物理学 2025-09-22 Shun-Peng Zhang , Ming-Jian Gao , Wei Jia , Jun-Hong An

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

In solid materials, nontrivial topological states, electron correlations, and magnetism are central ingredients for realizing quantum properties, including unconventional superconductivity, charge and spin density waves, and quantum spin…

强关联电子 · 物理学 2023-10-10 Yaojia Wang , Heng Wu , Gregory T. McCandless , Julia Y. Chan , Mazhar N. Ali

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 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

Heterostructures of stacked two-dimensional lattices have shown great promise for engineering novel material properties. As an archetypal example of such a system, the hexagon-shared honeycomb-kagome lattice has been experimentally…

材料科学 · 物理学 2025-02-21 Chan Bin Bark , Hanbyul Kim , Seik Pak , Hong-Guk Min , Sungkyun Ahn , Youngkuk Kim , Moon Jip Park

Hexagonal Kagome lattice is a multiband system with a quadratic band crossing point, in contrast with honeycomb lattice with linear band crossing point, which has exotic correlated effect and can produce various novel quantum states. Here…

强关联电子 · 物理学 2013-12-03 Heng-Fu Lin , Yao-Hua Chen , Hai-Di Liu , Hong-Shuai Tao , Wu-Ming Liu

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…

Electric circuits are known to realize topological quadrupole insulators. We explore electric circuits made of capacitors and inductors forming the breathing Kagome and pyrochlore lattices. They are known to possess three phases (trivial…

介观与纳米尺度物理 · 物理学 2019-01-17 Motohiko Ezawa

Topological quantum materials with kagome lattice have become the emerging frontier in the context of condensedmatter physics. Kagome lattice harbors strongmagnetic frustration and topological electronic states generatedby the unique…

超导电性 · 物理学 2025-07-04 Qi Wang , Hechang Lei , Yanpeng Qi , Claudia Felser
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