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Dirac semimetal is a class of semi-metallic phase protected by certain types of crystalline symmetries, and its low-energy effective Hamiltonian is described by Dirac equations in three dimensions (3D). Despite of various theoretical…

介观与纳米尺度物理 · 物理学 2016-05-17 Rui-Xing Zhang , Chao-Xing Liu

Symmetry and topology are essential principles in topological physics. Recently, the idea of sub-symmetry-protected topology -- where some of the original symmetries are broken while a remaining subset, called sub-symmetries, continues to…

介观与纳米尺度物理 · 物理学 2026-01-09 Myungjun Kang , Wonjun Sung , Sonu Verma , Sangmo Cheon

Multi-terminal topological devices are a new generation of electronic devices with quantized properties robust against imperfections. In magnetic topological insulators, dissipationless edge states give functional devices in zero magnetic…

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

We study a generic model of a Chern insulator supplemented by a Hubbard interaction in arbitrary even dimension $D$ and demonstrate that the model remains well-defined and nontrivial in the $D \to \infty$ limit. Dynamical mean-field theory…

强关联电子 · 物理学 2021-05-12 David Krüger , Michael Potthoff

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…

Topologically protected edge channels show prospects for quantum devices. They have been found experimentally in two-dimensional (2D) quantum spin Hall insulators (QSHIs), weak topological insulators and higher-order topological insulators…

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

介观与纳米尺度物理 · 物理学 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

Higher-order topological insulators have attracted great research interest recently. Different from conventional topological insulators, higher-order topological insulators do not necessarily require spin-orbit coupling, which makes it…

We propose a non-Hermitian topological system protected by the generalized rotational symmetry which invokes rotation in space and Hermitian conjugation. The system, described by the tight-binding model with nonreciprocal hopping, is found…

介观与纳米尺度物理 · 物理学 2022-02-25 Kai Chen , Alexander B. Khanikaev

Current understanding of higher-order topological insulators (HOTIs) is based primarily on crystalline materials. Here, we propose that HOTIs can be realized in quasicrystals. Specifically, we show that two distinct types of second-order…

介观与纳米尺度物理 · 物理学 2020-01-24 Rui Chen , Chui-Zhen Chen , Jin-Hua Gao , Bin Zhou , Dong-Hui Xu

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

Recently, the higher-order topological phases from the chiral AIII symmetry classes are characterized by a Z topological invariant known as the multipole chiral numbers, which indicate the number of degenerate zero-energy corner states at…

介观与纳米尺度物理 · 物理学 2023-05-19 Yuzeng Li , Qicheng Zhang , Chunyin Qiu

Most topological insulators discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the…

Higher Order Topological Insulators (HOTI) are $d$-spatial dimensional systems featuring topologically protected gap-less states at their $(d-n)$-dimensional boundaries. With the help of \textit{ab-initio} calculations and tight binding…

材料科学 · 物理学 2020-09-09 Santosh Kumar Radha , Walter R. L. Lambrecht

Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose an efficient procedure to determine this topological index.…

介观与纳米尺度物理 · 物理学 2012-05-28 Doru Sticlet , Frederic Piéchon , Jean-Noël Fuchs , Pavel Kalugin , Pascal Simon

High-order topological insulators (TIs) develop the conventional bulk-boundary correspondence theory and rise the interest in searching innovative topological materials. To realize a high-order TI with a wide passband of 1D and 2D…

应用物理 · 物理学 2022-12-02 Fei Meng , Yafeng Chen , Weibai Li , Baohua Jia , Xiaodong Huang

We present a $4'/m'$-respecting crisscross AFM model in 2D and 3D, both belonging to the $Z_2$ classification and exhibiting interesting magnetic high-order topological insulating (HOTI) phases. The topologically nontrivial phase in the 2D…

强关联电子 · 物理学 2019-12-30 Jinyu Zou , Zhuoran He , Gang Xu

The antiferromagnetic topological insulator (AFTI) is topologically protected by the combined time-reversal and translational symmetry $\mathcal{T}_c$. In this paper we investigate the effects of the $s$-wave superconducting pairings on the…

超导电性 · 物理学 2022-01-26 Beibing Huang , Xiaosen Yang , Qinfang Zhang , Ning Xu

In principle the stacking of different two-dimensional (2D) materials allows the construction of 3D systems with entirely new electronic properties. Here we propose to realize topological crystalline insulators (TCI) protected by mirror…

介观与纳米尺度物理 · 物理学 2019-04-24 Sanjib Kumar Das , Binghai Yan , Jeroen van den Brink , Ion Cosma Fulga