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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

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

介观与纳米尺度物理 · 物理学 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

强关联电子 · 物理学 2012-01-26 M. Zahid Hasan , Joel E. Moore

Two-dimensional Na$_3$Bi is a dual topological insulator protected by time-reversal and mirror symmetry, resulting in a promising platform for devices design. However, in reality, the design of topological devices is hindered by a…

介观与纳米尺度物理 · 物理学 2021-03-01 Bruno Focassio , Gabriel R. Schleder , Armando Pezo , Marcio Costa , Adalberto Fazzio

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 (HOTIs) are a novel type of topological phases which supports $d$-dimensional topological boundary states in $D$-dimensional systems with $D-d>1$. In this work, we theoretically predict that interlayer…

介观与纳米尺度物理 · 物理学 2024-01-05 Jiang Yao , Linhu Li

We study disorder induced topological phase transitions in magnetically doped (Bi, Sb)$_2$Te$_3$ thin films, by using large scale transport simulations of the conductance through a disordered region coupled to reservoirs in the quantum spin…

介观与纳米尺度物理 · 物理学 2020-11-24 Takuya Okugawa , Peizhe Tang , Angel Rubio , Dante M. Kennes

We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states destabilize the noninteracting Dirac semimetal…

无序系统与神经网络 · 物理学 2024-06-28 Yixing Fu , Justin H. Wilson , David A. Huse , J. H. Pixley

Recently, higher-order topological insulators have been attracting extensive interest. Unlike the conventional topological insulators that demand bulk gap closings at transition points, the higher-order band topology can be changed without…

其他凝聚态物理 · 物理学 2022-06-15 Juan Du , Tianzi Li , Xiying Fan , Qicheng Zhang , Chunyin Qiu

We consider a disordered waveguide consisting of trivial dielectric and non-trivial magnetically anisotropic material. A topologically-protected edge mode appears owing to the broken time-reversal symmetry of the non-trivial lattice. While…

无序系统与神经网络 · 物理学 2023-09-15 Kiyanoush Goudarzi , Moonjoo Lee

The notion of higher-order topological insulators has endowed materials with topological states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological insulator can host topologically protected 1D hinge…

介观与纳米尺度物理 · 物理学 2021-02-16 Qiang Wei , Xuewei Zhang , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Mou Yan , Gang Chen , Zhengyou Liu , Suotang Jia

Higher-order topological insulators (HOTIs) are described by symmetric exponentially decayed Wannier functions at some $necessary$ unoccupied Wyckoff positions and classified as obstructed atomic insulators (OAIs) in the topological quantum…

材料科学 · 物理学 2022-10-27 Da-Shuai Ma , Kejun Yu , Xiao-Ping Li , Xiaoyuan Zhou , Rui Wang

We provide the first unbiased evidence for a higher-order topological Mott insulator in three dimensions by numerically exact quantum Monte Carlo simulations. This insulating phase is adiabatically connected to a third-order topological…

强关联电子 · 物理学 2021-10-26 Yuichi Otsuka , Tsuneya Yoshida , Koji Kudo , Seiji Yunoki , Yasuhiro Hatsugai

It has been proposed that adding disorder to a topologically trivial mercury telluride/cadmium telluride (HgTe/CdTe) quantum well can induce a transition to a topologically nontrivial state. The resulting state was termed topological…

介观与纳米尺度物理 · 物理学 2016-04-07 Christoph P. Orth , Tibor Sekera , Christoph Bruder , Thomas L. Schmidt

The higher order topological insulator (HOTI) has enticed enormous research interests owing to its novelty in supporting gapless states along the hinges of the crystal. Despite several theoretical predictions, enough experimental…

We identify the possibility of realizing higher order topological (HOT) phases in noncrystalline or amorphous materials. Starting from two and three dimensional crystalline HOT insulators, accommodating topological corner states, we…

介观与纳米尺度物理 · 物理学 2020-03-25 Adhip Agarwala , Vladimir Juricic , Bitan Roy

A central property of (Chern) topological insulators is the presence of robust asymmetric transport along interfaces separating two-dimensional insulating materials in different topological phases. A Topological Anderson Insulator is an…

偏微分方程分析 · 数学 2023-11-28 Guillaume Bal , Thuyen Dang

Higher-order topological insulators (HOTI) are a novel topological phase beyond the framework of the conventional bulk-boundary correspondence. In these peculiar systems, the topologically nontrivial boundary modes are characterized by a…

The surfaces of three dimensional topological insulators (3D TIs) are generally described as Dirac metals, with a single Dirac cone. It was previously believed that a gapped surface implied breaking of either time reversal $\mathcal T$ or…

强关联电子 · 物理学 2014-04-28 Xie Chen , Lukasz Fidkowski , Ashvin Vishwanath

We investigate electronic transport across a magnetic domain wall (DW) in a three-dimensional (3D) second-order topological insulator subject to Anderson disorder. In the clean limit, the DW hosts two co-propagating one-dimensional (1D)…

介观与纳米尺度物理 · 物理学 2026-04-24 Dong Zhou , Zhe Hou