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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

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

To gain deeper insight into the complex, stable, and robust configurations of magnetic textures, topological characterisation has proven essential. In particular, while the skyrmion number is a well-established topological invariant for 2D…

Mesoscale and Nanoscale Physics · Physics 2025-04-07 Ross Knapman , Maria Azhar , Alessandro Pignedoli , Louis Gallard , Riccardo Hertel , Jonathan Leliaert , Karin Everschor-Sitte

Topological insulators are insulating in the bulk but feature conducting states on their surfaces. Standard methods for probing their topological properties largely involve probing the surface, even though topological invariants are defined…

Traditional ionic/covalent compound insulators arise from a commensuration between electron count and system volume. On the other hand, conventional topological insulators, outside of quantum hall effect systems, do not typically display…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Abijith Krishnan , Ashvin Vishwanath , Hoi Chun Po

Controlling magnetic order in magnetic topological insulators (MTIs) is a key to developing spintronic applications with MTIs, and is commonly achieved by changing the magnetic doping concentration, which inevitably affects…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Xiong Yao , Hee Taek Yi , Deepti Jain , Myung-Geun Han , Seongshik Oh

Exotic quantum phenomena have been demonstrated in recently discovered intrinsic magnetic topological insulator MnBi2Te4. At its two-dimensional limit, quantum anomalous Hall (QAH) effect and axion insulator state are observed in odd and…

Materials Science · Physics 2020-06-24 Yonghao Yuan , Xintong Wang , Hao Li , Jiaheng Li , Yu Ji , Zhenqi Hao , Yang Wu , Ke He , Yayu Wang , Yong Xu , Wenhui Duan , Wei Li , Qi-Kun Xue

We studied electronic band structure and topological property of a topological insulator thin film under a moir\'e superlattice potential to search for two-dimensional (2D) $\mathbb Z_2$ non-trivial isolated mini-bands. To model this…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Kaijie Yang , Zian Xu , Yanjie Feng , Frank Schindler , Yuanfeng Xu , Zhen Bi , B. Andrei Bernevig , Peizhe Tang , Chao-Xing Liu

Ternary semiconducting or metallic half-Heusler compounds with an atomic composition 1:1:1 are widely studied for their flexible electronic properties and functionalities. Recently, a new material property of half-Heusler compounds was…

Materials Science · Physics 2014-10-28 Binghai Yan , Anne de Visser

Topological insulators(1-8) are a novel form of matter which features metallic surface states with quasirelativistic dispersion similar to graphene(9). Unlike graphene, the locking of spin and momentum and the protection by time-reversal…

Mesoscale and Nanoscale Physics · Physics 2012-07-23 M. R. Scholz , J. Sánchez-Barriga , D. Marchenko , A. Varykhalov , A. Volykhov , L. V. Yashina , O. Rader

We combine low energy muon spin rotation (LE-$\mu$SR) and soft-X-ray angle-resolved photoemission spectroscopy (SX-ARPES) to study the magnetic and electronic properties of magnetically doped topological insulators, (Bi,Sb)$_2$Te$_3$. We…

Using first-principles calculations within density functional theory, we explore the feasibility of converting ternary half-Heusler compounds into a new class of three-dimensional topological insulators (3DTI). We demonstrate that the…

Materials Science · Physics 2010-10-07 Di Xiao , Yugui Yao , Wanxiang Feng , Jun Wen , Wenguang Zhu , Xingqiu Chen , G. Malcolm Stocks , Zhenyu Zhang

We report on a certain class of three-dimensional topological insulators and semimetals protected by spinless $\mathcal{P}\mathcal{T}$ symmetry, hosting an integer-valued bulk invariant. We show using homotopy arguments that these phases…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Zory Davoyan , Wojciech J. Jankowski , Adrien Bouhon , Robert-Jan Slager

We investigate magnetotransport in exfoliated nanostructures of the candidate magnetic 3D topological insulator $\mathrm{EuSn_{2}As_{2}}$. Similar to macroscopic single crystals, the negative magnetoresistance observed below the N\'eel…

We develop a simple model of surface states for topological insulators, developing matching relations for states on surfaces of different orientations. The model allows one to write simple Dirac Hamiltonians for each surface, and to…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 L. Brey , H. A. Fertig

We have investigated the band structure at the $\Gamma$ point of the three-dimensional (3D) topological insulator Bi$_2$Se$_3$ using magneto-spectroscopy over a wide range of energies ($0.55-2.2$\,eV) and in ultrahigh magnetic fields up to…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 A. Miyata , Z. Yang , A. Surrente , O. Drachenko , D. K. Maude , O. Portugall , L. B. Duffy , T. Hesjedal , P. Plochocka , R. J. Nicholas

Monolayer V2O3, a two-dimensional magnetic topological insulator with intrinsic ferromagnetic order and a nontrivial band gap, offers a promising platform for realizing quantum anomalous Hall (QAH) states. Using first-principles density…

Materials Science · Physics 2025-09-30 Zheng Wang , Jingshen Yan , Shu-Shen Lyu , Kaixuan Chen

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

Other Condensed Matter · Physics 2026-04-30 Yu. B. Kudasov

We introduce a time-reversal-symmetric analog of the Hopf insulator that we call a spin Hopf insulator. The spin Hopf insulator harbors nontrivial Kane-Mele $\Z_2$ invariants on its surfaces, and is the first example of a nonmagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 Penghao Zhu , A. Alexandradinata , Taylor L. Hughes

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe
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