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We propose a general principle for realizing second-order topological corner states in the modified Kane-Mele model with magnetization. It is demonstrated that the sign of the edge Dirac mass depends on the magnetization of the edge…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Cheng-Ming Miao , Lizhou Liu , Yu-Hao Wan , Qing-Feng Sun , Ying-Tao Zhang

The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and $\mathbb{Z}_{4}$ Berry phase, we obtain the phase diagram and identify that the…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan

We study the energy spectrum and energy levels of the extended Kane-Mele model with magnetic atoms on their zigzag edges. It is demonstrated that the edges of ferromagnetism or antiferromagnetism are enough to break the time-reversal…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We investigate a second-order topological quantum transition of a modified Kane-Mele model driven by electron-phonon interaction. The results show that the system parameters of the bare modified Kane-Mele model are renormalized by the…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Congwei Lu , Mei Zhang , Haibo Wang , Qing Ai , Tao Liu

Higher-order topological insulators are newly proposed topological phases of matter, whose bulk topology manifests as localized modes at two- or higher-dimensional lower boundaries. In this work, we propose the twisted bilayer graphenes…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Moon Jip Park , Youngkuk Kim , Gil Young Cho , SungBin Lee

We propose that a spin-dependent second-order topological insulator can be realized in monolayer FeSe/GdClO heterostructure, in which substrate GdClO helps to stabilize and enhance the antiferromagnetic order in FeSe. The second-order…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Qing Wang , Rui Song , Ning Hao

We theoretically demonstrate that Chern number tunable quantum anomalous Hall effect (QAHE) and second-order topological insulators can be induced in the two-dimensional $\mathbb{Z}_2$ topological insulator (TI), i.e., Kane-Mele model, by…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Zhengtian Li , Zeyu Li , Zhenhua Qiao

Higher-order topological phase as a generalization of Berry phase attracts an enormous amount of research. The current theoretical models supporting higher-order topological phases, however, cannot give the connection between lower and…

Quantum Physics · Physics 2021-12-22 Yao Wang , Yongguan Ke , Yi-Jun Chang , Yong-Heng Lu , Jun Gao , Chaohong Lee , Xian-Min Jin

The higher-order topological insulators (HOTIs), with such as the topological corner states, emerge as a thriving topic in the field of topological physics. But few connections have been found for the HOTIs with the well explored…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Xueqin Huang , Jiuyang Lu , Zhongbo Yan , Mou Yan , Weiyin Deng , Gang Chen , Zhengyou Liu

We show that monolayer graphene intrinsically hosts higher-order topological corner states, in which electrons are localized topologically at atomic sizes. The emergence of the topological corner states in graphene is due to a nontrivial…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Feng Liu , Katsunori Wakabayashi

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…

We consider multi-terminal transport through a flake of rectangular shape of a two-dimensional topological insulator in the presence of an in-plane magnetic field. This system has been shown to be a second-order topological insulator, thus…

Mesoscale and Nanoscale Physics · Physics 2024-02-21 Joseph Poata , Fabio Taddei , Michele Governale

Interaction induced topological states remain one of the fascinating phases in condensed matter physics. The exciton condensate has recently sparked renewed interest due to the discovery of new candidate materials and its driving force to…

Mesoscale and Nanoscale Physics · Physics 2021-12-28 Zheng-Rong Liu , Lun-Hui Hu , Chui-Zhen Chen , Bin Zhou , Dong-Hui Xu

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence of the strong disorder in the bulk, the crystal symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

The concept of topological phases has been generalized to higher-order topological insulators and superconductors with novel boundary states on corners or hinges. Meanwhile, recent experimental advances in controlling dissipation (such as…

Mesoscale and Nanoscale Physics · Physics 2019-11-11 Xi-Wang Luo , Chuanwei Zhang

We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of strong spin-orbit interaction, where electrostatic confinement is used to create an array of effective quantum wires. We show that for suitable…

Mesoscale and Nanoscale Physics · Physics 2020-03-20 Katharina Laubscher , Daniel Loss , Jelena Klinovaja

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

Classical Physics · Physics 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu