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Square-root topological insulators are recently-proposed intriguing topological insulators, where the topologically nontrivial nature of Bloch wave functions is inherited from the square of the Hamiltonian. In this paper, we propose that…

介观与纳米尺度物理 · 物理学 2022-03-10 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

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

Square-root topological states are new topological phases, whose topological property is inherited from the square of the Hamiltonian. We realize the first-order and second-order square-root topological insulators in phononic crystals, by…

介观与纳米尺度物理 · 物理学 2020-11-25 Mou Yan , Xueqin Huang , Li Luo , Jiuyang Lu , Weiyin Deng , Zhengyou Liu

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) 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

Higher-order topological insulators, which support lower-dimensional topological boundary states than the first-order topological insulators, have been intensely investigated in the integer dimensional systems. Here, we provide a new…

介观与纳米尺度物理 · 物理学 2022-05-12 Junkai Li , Qingyang Mo , Jian-Hua Jiang , Zhaoju Yang

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…

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 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

We show that the decorated honeycomb lattice supports a number of topological insulating phases with a non-trivial Z_2 invariant and time-reversal symmetry protected gapless edge modes. We investigate the stability of these phases with…

介观与纳米尺度物理 · 物理学 2010-05-20 Andreas Rüegg , Jun Wen , Gregory A. Fiete

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

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…

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

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

I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

光学 · 物理学 2025-03-03 Yaroslav V. Kartashov

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

Higher-order topological insulators (HOTIs) represent a family of topological phases that go beyond the conventional bulkboundary correspondence. d-dimensional n-th order HOTIs maintain (d - n)-dimensional gapless boundary states (in…

光学 · 物理学 2026-02-12 Rujiang Li , Wencai Wang , Yongtao Jia , Ying Liu , Pengfei Li , Boris A. Malomed

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

强关联电子 · 物理学 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

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

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
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