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We develop an analytical theory of the low-frequency $ac$ quantum spin Hall (QSH) effect based upon the scattering matrix formalism. It is shown that the $ac$ QSH effect can be interpreted as a bulk quantum pumping effect. When the electron…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 W. Y. Deng , Y. J. Ren , Z. X. Lin , L. Sheng , D. N. Sheng , D. Y. Xing

The quantum anomalous Hall (QAH) effect has recently been realized in thin films of intrinsic magnetic topological insulators (IMTIs) like MnBi$_2$Te$_4$. Here we point out that that the QAH gaps of these IMTIs can be optimized, and that…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Chao Lei , Allan H. MacDonald

A fully relativistic description of the spin-orbit induced spin Hall effect is presented that is based on Kubo's linear response formalism. Using an appropriate operator for the spin current density a Kubo-St\v{r}eda-like equation for the…

Recent years have witnessed tremendous success in the discovery of topological states of matter. Particularly, sophisticated theoretical methods in time-reversal-invariant topological phases have been developed, leading to the comprehensive…

Materials Science · Physics 2021-04-26 Jinbo Pan , Jiabin Yu , Yan-Fang Zhang , Shixuan Du , Anderson Janotti , Chao-Xing Liu , Qimin Yan

We propose an approach based on a generalized quantum mechanics to deal with the basic features of the intrinsic spin Hall effect. This can be done by considering two decoupled harmonic oscillators on the noncommutative plane and evaluating…

High Energy Physics - Theory · Physics 2011-04-28 Ahmed Jellal , Rachid Houca

Spin-orbit torque (SOT) enables efficient electrical control of magnetization, offering a pathway towards low-power spintronic devices. Magnetic topological insulators (TIs), with spin-momentum-locked surface states and intrinsic…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Ling-Jie Zhou , Deyi Zhuo , Han Tay , Zi-Jie Yan , Pu Xiao , Xiaoda Liu , Bomin Zhang , Cui-Zu Chang

Magneto-transport measurements are performed on two-dimensional GaAs electron systems to probe the quantum Hall (QH) effect at low magnetic fields. Oscillations following the Shubnikov-de Haas (SdH) formula are observed in the transition…

Mesoscale and Nanoscale Physics · Physics 2012-09-14 Shun-Tsung Lo , Yi-Ting Wang , G Bohra , E Comfort , T-Y Lin , M-G Kang , G Strasser , J P Bird , C F Huang , Li-Hung Lin , J C Chen , C-T Liang

The search of large-gap quantum spin Hall (QSH) insulators and effective approaches to tune QSH states is important for both fundamental and practical interests. Based on first-principles calculations we find two-dimensional tin films are…

Materials Science · Physics 2013-10-08 Yong Xu , Binghai Yan , Hai-Jun Zhang , Jing Wang , Gang Xu , Peizhe Tang , Wenhui Duan , Shou-Cheng Zhang

In this work we investigate magneto-optical properties of two-dimensional semiconductor quantum-ring excitons with Rashba and Dresselhaus spin-orbit interactions threaded by a magnetic flux perpendicular to the plane of the ring. By…

Mesoscale and Nanoscale Physics · Physics 2018-03-08 Wen-Hsuan Kuan , Vidar Gudmundsson

Motivated by a recent experiment reporting the fractional quantum spin Hall effect in twisted ${\rm MoTe}_2$, we investigate microscopically the prospects of realizing exotic topologically ordered states beyond conventional quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2025-05-05 Ahmed Abouelkomsan , Liang Fu

The recent prediction, and subsequent discovery, of the quantum anomalous Hall (QAH) effect in thin films of the three-dimensional ferromagnetic topological insulator (MTI) (Cr$_y$Bi$_x$Sb$_{1-x-y}$)$_2$Te$_3$ has opened new possibilities…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 I. T. Rosen , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall effect (QAHE), the last member of Hall family, was predicted to exhibit quantized Hall conductivity e2/h without any external magnetic field. The QAHE shares a similar physical phenomenon with the integer quantum…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Cui-Zu Chang , Mingda Li

The quantum anomalous Hall effect (QAHE) is a topological state of matter with a quantized Hall resistance. It has been observed in some two-dimensional insulating materials such as magnetic topological insulator films and twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

The quantum anomalous Hall (QAH) effect is a quintessential consequence of non-zero Berry curvature in momentum-space. The QAH insulator harbors dissipation-free chiral edge states in the absence of an external magnetic field. On the other…

Noncollinear antiferromagnets (AFMs) have recently attracted a lot of attention owing to the potential emergence of exotic spin orders on geometrically frustrated lattices, which can be characterized by corresponding spin chiralities. By…

The interplay between spontaneous symmetry breaking and topology can result in exotic quantum states of matter. A celebrated example is the quantum anomalous Hall (QAH) state, which exhibits an integer quantum Hall effect at zero magnetic…

We theoretically investigate a nonlinear spin Hall effect in $\mathcal{PT}$-symmetric antiferromagnetic metals, which serve as an efficient spin current generator. We elucidate that an emergent spin-dependent Berry curvature dipole is a…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami , Megumi Yatsushiro , Hiroaki Kusunose

Making use of index theorem and spin Chern Simons theory, we construct an effective topological field theory of strongly correlated topological insulators coupling to a nonabelian gauge field $ SU(N) $ with an interaction constant $ g $ in…

Strongly Correlated Electrons · Physics 2011-06-01 K. -S. Park , H. Han

In collinear magnets lacking inversion symmetry application of electric currents induces torques on the magnetization and conversely magnetization dynamics induces electric currents. The two effects, which both rely on spin-orbit…

Materials Science · Physics 2015-08-17 Frank Freimuth , Stefan Blügel , Yuriy Mokrousov
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