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The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

It is widely known that quantum spin Hall (QSH) insulator can be viewed as two copies of quantum anomalous Hall (QAH) insulator with opposite local magnetic moments. However, nearly every QSH insulator discovered so far is a nonmagnetic…

Materials Science · Physics 2020-01-22 Qian Sui , Jiaxin Zhang , Suhua Jin , Yunyouyou Xia , Gang Li

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Here, we give a theoretical introduction to the quantum anomalous Hall (QAH) effect based on magnetic topological…

Mesoscale and Nanoscale Physics · Physics 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

We report a theoretical prediction of a new class of bulk and intrinsic quantum Anomalous Hall (QAH) insulators La$X$ ($X$=Br, Cl, and I) via relativistic first-principle calculations. We find that these systems are innate long-ranged…

Mesoscale and Nanoscale Physics · Physics 2016-08-23 Kapildeb Dolui , Sujay Ray , Tanmoy Das

Graphene is the first model system of two-dimensional topological insulator (TI), also known as quantum spin Hall (QSH) insulator. The QSH effect in graphene, however, has eluded direct experimental detection because of its extremely small…

Mesoscale and Nanoscale Physics · Physics 2019-04-12 Liangzhi Kou , Feiming Hu , Binghai Yan , Tim Wehling , Claudia Felser , Thomas Frauenheim , Changfeng Chen

Despite many years of efforts, attempts to reach the quantum regime of topological surface states (TSS) on an electrically tunable topological insulator (TI) platform have so far failed on binary TI compounds such as Bi2Se3 due to high…

Materials Science · Physics 2019-08-12 N. Koirala , M. Salehi , J. Moon , S. Oh

Motivated by the goal of realizing topological phases in thin films and heterostructures of correlated oxides, we propose here a quantum anomalous Hall insulator (QAHI) in ultrathin films of double perovskites based on mixed 3d-5d or 3d-4d…

Strongly Correlated Electrons · Physics 2016-10-12 Santu Baidya , Umesh V. Waghmare , Arun Paramekanti , Tanusri Saha-Dasgupta

The discovery of the quantum Hall (QH) effect led to the realization of a topological electronic state with dissipationless currents circulating in one direction along the edge of a two dimensional electron layer under a strong magnetic…

A two-dimensional (2D) topological insulator (TI) exhibits the quantum spin Hall (QSH) effect, in which topologically protected spin-polarized conducting channels exist at the sample edges. Experimental signatures of the QSH effect have…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Yanmeng Shi , Joshua Kahn , Ben Niu , Zaiyao Fei , Bosong Sun , Xinghan Cai , Brian A. Francisco , Di Wu , Zhi-Xun Shen , Xiaodong Xu , David H. Cobden , Yong-Tao Cui

Two-dimensional (2D) topological insulators (TIs) hold promise for applications in spintronics based on the fact that the propagation direction of edge electrons of a 2D TI is robustly linked to their spin origination. Here, with the use of…

Materials Science · Physics 2015-09-02 Yandong Ma , Liangzhi Kou , Ying Dai , Thomas Heine

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 study three dimensional generalizations of the quantum spin Hall (QSH) effect. Unlike two dimensions, where the QSH effect is distinguished by a single $Z_2$ topological invariant, in three dimensions there are 4 invariants…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Liang Fu , C. L. Kane , E. J. Mele

The quantum anomalous Hall (QAH) effect is a novel topological spintronic phenomenon arising from inherent magnetization and spin-orbit coupling. Various theoretical and experimental efforts have been devoted in search of robust intrinsic…

Computational Physics · Physics 2017-01-18 Chengxi Huang , Jian Zhou , Haiping Wu , Kaiming Deng , Puru Jena , Erjun Kan

We prove a Lieb-Schultz-Mattis theorem for the quantum spin Hall effect (QSHE) in two-dimensional $\pi$-flux models. In the presence of time reversal, $U(1)$ charge conservation and magnetic translation (with $\pi$-flux per unit cell)…

Strongly Correlated Electrons · Physics 2017-03-16 Jiaxin Wu , Tin-Lun Ho , Yuan-Ming Lu

The field of topological insulators (TIs) is rapidly growing. Concerning possible applications, the search for materials with an easily controllable TI phase is a key issue. The quantum spin Hall effect, characterized by a single pair of…

Mesoscale and Nanoscale Physics · Physics 2012-03-21 Paolo Michetti , Jan C. Budich , Elena G. Novik , Patrik Recher

Quantum spin Hall (QSH) materials promise revolutionary device applications based on dissipationless propagation of spin currents. They are two-dimensional (2D) representatives of the family of topological insulators, which exhibit…

Strongly Correlated Electrons · Physics 2017-09-27 F. Reis , G. Li , L. Dudy , M. Bauernfeind , S. Glass , W. Hanke , R. Thomale , J. Schäfer , R. Claessen

The quantum anomalous Hall (QAH) state is a two-dimensional bulk insulator with a non-zero Chern number in absence of external magnetic fields. Protected gapless chiral edge states enable dissipationless current transport in electronic…

Mesoscale and Nanoscale Physics · Physics 2011-08-25 Hai-Jun Zhang , Xiao Zhang , Shou-Cheng Zhang

Despite the rapid progresses in the field of quantum spin Hall (QSH) effect, most of the QSH systems studied up to now are based on crystalline materials. Here we propose that the QSH effect can be realized in quasicrystal lattices (QLs).…

Mesoscale and Nanoscale Physics · Physics 2018-10-02 Huaqing Huang , Feng Liu

The quantum spin Hall (QSH) effect in the DC regime, which has been intensively researched, relies on the existence of symmetry-protected edge states. Here, we demonstrate that a QSH system behaves quite differently in response to an…

Mesoscale and Nanoscale Physics · Physics 2016-06-28 W. Y. Deng , H. Geng , Wei Luo , Wei Chen , L. Sheng , D. N. Sheng , D. Y. Xing

The quantum spin Hall effect (QSHE), a hallmark of topological insulators, enables dissipationless, spin-polarized edge transport and has been predicted in various two-dimensional materials. However, challenges such as limited scalability,…