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Topological insulators (TIs) represent a new quantum state of matter characterized by robust gapless states inside the insulating bulk gap. The metallic edge states of a two-dimensional (2D) TI, known as quantum spin Hall (QSH) effect, are…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Liangzhi Kou , Binghai Yan , Feiming Hu , Shu-Chun Wu , Tim O. Wehling , Claudia Felser , Changfeng Chen , Thomas Frauenheim

We have performed ab-initio band structure calculations on more than two thousand half-Heusler compounds in order to search for new candidates for topological insulators. Herein, LiAuS and NaAuS are found to be the strongest topological…

Materials Science · Physics 2015-08-17 Shi-Yuan Lin , Xiao-Bao Yang , Yu-Jun Zhao , Shu-Chun Wu , Claudia Felser , Binghai Yan

We report on the epitaxial fabrication and electronic properties of a topological phase in strained \alpha-Sn on InSb. The topological surface state forms in the presence of an unusual band order not based on direct spin-orbit coupling, as…

We introduce two dimensional fermionic band models with two orbitals per lattice site, or one spinful orbital, and which have a non-zero topological Chern number that can be changed by varying the ratio of hopping parameters. A…

Strongly Correlated Electrons · Physics 2013-02-14 Miguel A. N. Araújo , Eduardo V. Castro , Pedro D. Sacramento

We introduce a new expression for the Z2 topological invariant of band insulators using non- Abelian Berry's connection. Our expression can identify the topological nature of a general band insulator without any of the gauge fixing problems…

Materials Science · Physics 2015-03-17 Rui Yu , Xiao Liang Qi , Andrei Bernevig , Zhong Fang , Xi Dai

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence…

Materials Science · Physics 2020-01-30 Eunwoo Lee , Rokyeon Kim , Junyeong Ahn , Bohm-Jung Yang

Compared to time-reversal symmetry-protected Z2 topological insulators and Dirac/Weyl semimetals, there are significantly fewer candidates for topological crystalline insulators. SrAg4Sb2 is predicted to exhibit topological crystalline…

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…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

Recently, it was shown that quantum spin Hall insulator (QSHI) phase with a gap wide enough for practical applications can be realized in the ultra thin films constructed from two inversely stacked structural elements of trivial band…

Materials Science · Physics 2017-11-01 S. V. Eremeev , I. A. Nechaev , E. V. Chulkov

We demonstrate the existence of topological insulators in one dimension protected by mirror and time-reversal symmetries. They are characterized by a nontrivial $\mathbb{Z}_2$ topological invariant defined in terms of the "partial"…

Mesoscale and Nanoscale Physics · Physics 2016-10-27 Alexander Lau , Jeroen van den Brink , Carmine Ortix

Tuning the spin-orbit coupling strength via foreign element doping and/or modifying bonding strength via strain engineering are the major routes to convert normal insulators to topological insulators. We here propose an alternative strategy…

Materials Science · Physics 2015-11-19 Wu-Jun Shi , Junwei Liu , Yong Xu , Shi-Jie Xiong , Jian Wu , Wenhui Duan

So far, several transition metal dichalcogenides (TMDCs) based two-dimensional (2D) topological insulators (TIs) have been discovered, all of them based on a tetragonal lattice. However, in 2D crystals, the hexagonal rather than the…

Materials Science · Physics 2016-02-17 Yandong Ma , Liangzhi Kou , Xiao Li , Ying Dai , Thomas Heine

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 H. -M. Guo

We investigate the charge conductivity and current-induced spin polarization on the surface state of a three-dimensional topological insulator by including the hexagonal warping effect of Fermi surface both in classical and quantum…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 C. M. Wang , F. J. Yu

Magnetic topological quantum materials (TQMs) provide a fertile ground for the emergence of fascinating topological magneto-electric effects. Recently, the discovery of intrinsic antiferromagnetic (AFM) topological insulator MnBi2Te4 that…

Using the tight-binding model and density functional theory, the topological invariant of the two-dimensional (2D) group III-V and IV-IV compounds are studied in the absence and the presence of an external perpendicular electric field and…

Materials Science · Physics 2022-01-19 A. Baradaran , M. Ghaffarian

A $t_{2g}^5$ system with a honeycomb lattice structure such as Na$_2$IrO$_3$ was firstly proposed as a topological insulator even though Na$_2$IrO$_3$ and its isostructural materials in nature have been turned out to be a Mott insulator…

Strongly Correlated Electrons · Physics 2019-04-23 Beom Hyun Kim , Kazuhiro Seki , Tomonori Shirakawa , Seiji Yunoki

We investigate properties of a topological Mott insulator in one dimension by examining the bulk topological invariant and the entanglement spectrum of a correlated electron model. We clarify how gapless edge states in a non-interacting…

Strongly Correlated Electrons · Physics 2014-06-10 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

The layered MnBi2nTe3n+1 family represents the first intrinsic antiferromagnetic topological insulator (AFM TI, protected by a combination symmetry ) ever discovered, providing an ideal platform to explore novel physics such as quantum…

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

Materials Science · Physics 2026-03-06 Sibin Lü , Jun Hu
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