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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…

介观与纳米尺度物理 · 物理学 2024-02-06 Kai-Zhi Bai , Bo Fu , Zhenyu Zhang , Shun-Qing Shen

We predict by first-principles calculations that thin films of Cr-doped (Bi,Sb)$_2$Te$_3$ magnetic topological insulator have gapless non-chiral edge states coexisting with the chiral edge state. Such gapless non-chiral states are not…

介观与纳米尺度物理 · 物理学 2013-08-22 Jing Wang , Biao Lian , Haijun Zhang , Shou-Cheng Zhang

The quantum anomalous Hall effect refers to the quantization of Hall effect in the absence of applied magnetic field. The quantum anomalous Hall effect is of topological nature and well suited for field-free resistance metrology and…

介观与纳米尺度物理 · 物理学 2022-09-21 Hang Chi , Jagadeesh S. Moodera

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…

介观与纳米尺度物理 · 物理学 2016-11-22 Jing Wang , Biao Lian , Shou-Cheng Zhang

In the quantum anomalous Hall effect, chiral edge modes are expected to conduct spin polarized current without dissipation and thus hold great promise for future electronics and spintronics with low energy consumption. However, spin…

介观与纳米尺度物理 · 物理学 2016-07-06 Rui-Xing Zhang , Hsiu-Chuan Hsu , Chao-Xing Liu

An intriguing observation on the quantum anomalous Hall effect (QAHE) in magnetic topological insulators (MTIs) is the dissipative edge states, where quantized Hall resistance is accompanied by nonzero longitudinal resistance. We…

介观与纳米尺度物理 · 物理学 2021-02-05 Yanxia Xing , Fuming Xu , Qing-feng Sun , Jian Wang , Yu-gui Yao

The quantum anomalous Hall (QAH) effect is conventionally understood to exist only in Chern insulators, while a recent study has shown that ferromagnetic metals can also host the QAH effect. Between insulators and metals, we demonstrate…

介观与纳米尺度物理 · 物理学 2026-05-28 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the…

介观与纳米尺度物理 · 物理学 2020-08-13 Jan Böttcher , Christian Tutschku , Ewelina M. Hankiewicz

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

介观与纳米尺度物理 · 物理学 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We develop a theory of edge state transport in separately contacted double-layer quantum Hall systems which are tuned close to the resonance condition for tunneling between the layers. When applied to the case where contact is made to only…

凝聚态物理 · 物理学 2009-10-28 D. Yoshioka , A. H. MacDonald

The understanding of the Chern insulator and anomalous quantum Hall effect (AQHE) in terms of chiral edge states in confined systems is the first aim of the paper. The model we use consists in a diatomic square lattice with hopping to the…

介观与纳米尺度物理 · 物理学 2018-09-12 B. Ostahie , M. Nita , A. Aldea

The quantized version of the anomalous Hall effect has been predicted to occur in magnetic topological insulators, but the experimental realization has been challenging. Here, we report the observation of the quantum anomalous Hall (QAH)…

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…

介观与纳米尺度物理 · 物理学 2017-12-06 I. T. Rosen , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall effect in magnetic topological insulators has been recognized as a promising platform for applications in quantum metrology. The primary reason for this is the electronic conductance quantization at zero external…

介观与纳米尺度物理 · 物理学 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

We report a nearly ideal quantum anomalous Hall effect in a three-dimensional topological insulator thin film with ferromagnetic doping. Near zero applied magnetic field we measure exact quantization in Hall resistance to within a part per…

介观与纳米尺度物理 · 物理学 2015-05-13 A. J. Bestwick , E. J. Fox , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

介观与纳米尺度物理 · 物理学 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

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…

Quantum anomalous Hall insulators are topologically characterized by non-zero integer Chern numbers, the sign of which depends on the direction of the exchange field that breaks time-reversal symmetry. This feature allows the manipulation…

介观与纳米尺度物理 · 物理学 2024-09-06 Nezhat Pournaghavi , Carlo M. Canali

We present a microscopic theory of the chiral one-dimensional electron gas system localized on the sidewalls of magnetically-doped Bi$_2$Se$_3$-family topological insulator nanoribbons in the quantum anomalous Hall effect (QAHE) regime. Our…

介观与纳米尺度物理 · 物理学 2016-10-05 A. Pertsova , C. M. Canali , A. H. MacDonald

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

介观与纳米尺度物理 · 物理学 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang
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