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By using first-principles calculations, we propose that ZrSiO can be looked as a three-dimensional (3D) oxide weak topological insulator (TI) and its single layer is a long-sought-after 2D oxide TI with a band gap up to 30 meV. Calculated…

材料科学 · 物理学 2015-12-02 Qiunan Xu , Zhida Song , Simin Nie , Hongming Weng , Zhong Fang , Xi Dai

The concept of free fermion topology has been generalized to $d$-dimensional phases that exhibit $(d-n)$-dimensional boundary modes, such as zero-dimensional (0D) corner excitations. Motivated by recent extensions of these ideas to magnetic…

强关联电子 · 物理学 2023-12-22 Arijit Haldar , Geremia Massarelli , Arun Paramekanti

The paradigm of classifying three-dimensional (3D) topological insulators into strong and weak ones (STI and WTI) opens the door for the discovery of various topological phases of matter protected by different symmetries and defined in…

Recently, higher-order topological phases that do not obey the usual bulk-edge correspondence principle have been introduced in electronic insulators and brought into classical systems, featuring with in-gap corner/hinge states. So far,…

介观与纳米尺度物理 · 物理学 2019-06-19 Xiao-Dong Chen , Wei-Min Deng , Fu-Long Shi , Fu-Li Zhao , Min Chen , Jian-Wen Dong

The three dimensional (3D) topological insulators are predicted to exhibit a 3D Dirac semimetal state in critical regime of topological to trivial phase transition. Here we demonstrate the first experimental evidence of 3D Dirac semimetal…

介观与纳米尺度物理 · 物理学 2016-01-11 Devendra Kumar , Archana Lakhani

In an ideal 3D topological insulator (TI), the bulk is insulating and the surface conducting due to the existence of metallic states that are localized on the surface; these are the topological surface states. Quaternary Bi-based compounds…

Higher-order topological phases have raised widespread interest in recent years with the occurrence of the topological boundary states of dimension two or more less than that of the system bulk. The higher-order topological states have been…

介观与纳米尺度物理 · 物理学 2023-03-21 Zhenhang Pu , Hailong He , Licheng Luo , Qiyun Ma , Liping Ye , Manzhu Ke , Zhengyou Liu

Surface states of topological insulators (TIs) have been playing the central role in the majority of outstanding investigations in low-dimensional electron systems for more than 10 years. TIs based on high-quality strained HgTe films…

介观与纳米尺度物理 · 物理学 2019-05-15 M. L. Savchenko , D. A. Kozlov , N. N. Vasilev , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , A. V. Kolesnikov

We report finite-size topology in the quintessential time-reversal (TR) invariant systems, the quantum spin Hall insulator (QSHI) and the three-dimensional, strong topological insulator (STI): previously-identified helical or Dirac cone…

介观与纳米尺度物理 · 物理学 2023-09-20 R. Flores-Calderón , Roderich Moessner , Ashley M. Cook

Topological insulators (TIs) are a class of materials which are insulating in their bulk form yet, upon introduction of an a boundary or edge, e.g. by abruptly terminating the material, may exhibit spontaneous current along their boundary.…

数学物理 · 物理学 2022-01-28 Jacob Shapiro , Michael I. Weinstein

Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for non-interacting electrons on a cubic lattice with a…

介观与纳米尺度物理 · 物理学 2020-10-07 C. Wang , X. R. Wang

Quasi-1D materials Bi$_{4}$X$_{4}$ (X=Br,I) are prototype weak topological insulators (TI) in the $\beta$ phase. For the $\alpha$ phases, recent high-throughput database screening suggests that Bi$_{4}$Br$_{4}$ is a rare higher-order TI…

介观与纳米尺度物理 · 物理学 2020-06-01 Chiho Yoon , Cheng-Cheng Liu , Hongki Min , Fan Zhang

Topological phases have attracted much interest in recent years. While there are a number of three-dimensional materials exhibiting topological properties, there are relatively few two-dimensional examples aside from the well-known quantum…

强关联电子 · 物理学 2015-06-22 Xiang Hu , Zhicheng Zhong , Gregory A. Fiete

Higher-order topological insulators in two dimensions have states that localize at their corners, called corner states. In this paper, we reveal characteristics of the penetration depth of their corner states by using the…

介观与纳米尺度物理 · 物理学 2021-07-13 Nobuhiro Arai , Shuichi Murakami

Recent studies on the interplay between band topology and layer degree of freedom provide an effective way to realize exotic topological phases. Here we systematically study the $C_6$- and $C_3$-symmetric higher-order topological phases in…

介观与纳米尺度物理 · 物理学 2024-01-17 Xiao-Yu Liu , Yang Liu , Zhan Xiong , Hai-Xiao Wang , Jian-Hua Jiang

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

A quantum spin Hall insulator hosts topological states at the one-dimensional edge, along which backscattering by nonmagnetic impurities is strictly prohibited and dissipationless current flows. Its 3D analogue, a weak topological insulator…

In recent years, second-order topological insulators have been proposed as a new class of topological insulators. Second-order topological insulators are materials with gapped bulk and surfaces, but with topologically protected gapless…

介观与纳米尺度物理 · 物理学 2020-03-31 Yutaro Tanaka , Ryo Takahashi , Shuichi Murakami

In higher-order topological insulators, bulk and surface electronic states are gapped, while there appear gapless hinge states protected by spatial symmetry. Here we show by ab initio calculations that the La apatite electride is a…

材料科学 · 物理学 2020-11-04 Motoaki Hirayama , Ryo Takahashi , Satoru Matsuishi , Hideo Hosono , Shuichi Murakami

Bi$_{2}$Te$_{3}$ and Bi$_{2}$Se$_{3}$ are well known 3D-topological insulators. Films made of these materials exhibit metal-like surface states with a Dirac dispersion and possess high mobility. The high mobility metal-like surface states…

介观与纳米尺度物理 · 物理学 2015-06-22 Parijat Sengupta , Tillmann Kubis , Yaohua Tan , Gerhard Klimeck