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In this Perspective article, we explore some of the promising spin and topology material platforms (e.g. spins in semi- and superconductors, skyrmionic, topological and 2D materials) being developed for such quantum components as qubits,…

Magnetic topological insulators and semi-metals have a variety of properties that make them attractive for applications including spintronics and quantum computation, but very few high-quality candidate materials are known. In this work, we…

Materials Science · Physics 2021-04-21 Kamal Choudhary , Kevin F. Garrity , Nirmal J. Ghimire , Naween Anand , Francesca Tavazza

Topological insulating states in two-dimensional (2D) materials are ideal systems to study different types of quantized response signals due to their in gap metallic states. Very recently, the quantum spin Hall (QSH) effect was discovered…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Junwen Lai , Xiangyang Liu , Jie Zhan , Tianye Yu , Peitao Liu , Xing-Qiu Chen , Yan Sun

Quantum spin Hall (QSH) insulators have unique electronic properties, comprising a band gap in their two-dimensional interior and one-dimensional spin-polarized edge states in which current flows ballistically. In scanning tunneling…

Identifying the two-dimensional (2D) topological insulating (TI) state in new materials and its control are crucial aspects towards the development of voltage-controlled spintronic devices with low power dissipation. Members of the 2D…

The recently discovered three dimensional or bulk topological insulators are expected to exhibit exotic quantum phenomena. It is believed that a trivial insulator can be twisted into a topological state by modulating the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2011-10-24 Su-Yang Xu , Y. Xia , L. A. Wray , D. Qian , Shuang Jia , J. H. Dil , F. Meier , J. Osterwalder , B. Slomski , H. Lin , R. J. Cava , M. Z. Hasan

Topological insulators exhibit gapless edge or surface states that are topologically protected by time-reversal symmetry. However, several promising candidates for topologically insulating materials (such as Bi$_2$Se$_3$ and HgTe) contain…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Arian Vezvaee , Antonio Russo , Sophia E. Economou , Edwin Barnes

Three-dimensional topological insulators are a class of Dirac materials, wherein strong spin-orbit coupling leads to two-dimensional surface states. The latter feature spin-momentum locking, i.e., each momentum vector is associated with a…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Paul Seifert , Kristina Vaklinova , Sergey Ganichev , Klaus Kern , Marko Burghard , Alexander W. Holleitner

Two-dimensional (2D) materials are promising candidates for next-generation spintronic devices due to their tunable properties and potential for efficient spin-charge interconversion. However, discovering materials with intrinsically high…

Materials Science · Physics 2025-12-25 Abhijeet J. Kale , Sanjeev S. Navaratna , Pratik Sahu , Henry Chan , B. R. K. Nanda , Rohit Batra

We propose a general and tunable platform to realize high-density arrays of quantum spin-valley Hall kink (QSVHK) states with spin-valley-momentum locking based on a two-dimensional hexagonal topological insulator. Through the analysis of…

Mesoscale and Nanoscale Physics · Physics 2021-09-10 Tong Zhou , Shuguang Cheng , Michael Schleenvoigt , Peter Schuffelgen , Hua Jiang , Zhongqin Yang , Igor Zutic

The large spin orbit coupling in topological insulators results in helical spin-textured Dirac surface states that are attractive for topological spintronics. These states generate an efficient spin-orbit torque on proximal magnetic moments…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Yang Lv , James Kally , Delin Zhang , Joon Sue Lee , Mahdi Jamali , Nitin Samarth , Jian-Ping Wang

The discoveries of intrinsically magnetic topological materials, including semimetals with a large anomalous Hall effect and axion insulators, have directed fundamental research in solid-state materials. Topological quantum chemistry has…

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…

One-dimensional (1D) gapless hinge states are predicated in the three-dimensional (3D) higher-order topological insulators and topological semimetals, because of the higher-order bulk-boundary correspondence. Nevertheless, the topologically…

Mesoscale and Nanoscale Physics · Physics 2022-02-24 An-Qi Wang , Peng-Zhan Xiang , Tong-Yang Zhao , Zhi-Min Liao

Based on first-principles calculations, we have found a family of 2D transition-metal (TM) chalcogenides MX5 (M = Zr, Hf and X = S, Se and Te) can host quantum spin Hall (QSH) effect. The molecular dynamics simulation indicate that they are…

Materials Science · Physics 2022-06-15 Xing Wang , Wenhui Wan , Yanfeng Ge , Kai-Cheng Zhang , Yong Liu

We investigate topological insulating states in both two and three dimensions with the harmonic potential and strong spin-orbit couplings breaking the inversion symmetry. Landau-level like quantizations appear with the full 2D and 3D…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Yi Li , Xiangfa Zhou , Congjun Wu

Phase transitions between the quantum spin Hall and the insulator phases in three dimensions are studied. We find that in inversion-asymmetric systems there appears a gapless phase between the quantum spin Hall and insulator phases in three…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Shuichi Murakami

A fundamental open problem in condensed matter physics is how the dichotomy between conventional and topological band insulators is modified in the presence of strong electron interactions. We show that there are 6 new electronic…

Strongly Correlated Electrons · Physics 2014-02-10 Chong Wang , Andrew C. Potter , T. Senthil

Modern condensed matter physics relies on the concept of topology to classify matter, from quantum Hall systems to topological insulators. Engineered systems, benefiting from synthetic dimensions, can potentially give access to novel…

Hopf insulators are intriguing three-dimensional topological insulators characterized by an integer topological invariant. They originate from the mathematical theory of Hopf fibration and epitomize the deep connection between knot theory…

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