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The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

We report a continuous phase transition between quantum-anomalous-Hall and trivial-insulator phases in a magnetic topological insulator upon magnetization rotation. The Hall conductivity transits from one plateau of quantized Hall…

In quantum anomalous Hall (QAH) insulators, the interior is insulating but electrons can travel with zero resistance along one-dimensional conducting paths known as chiral edge channels (CECs). These CECs have been predicted to be confined…

In-plane anomalous Hall effect (IPAHE) is an unconventional anomalous Hall effect (AHE) with the Hall current flows in the plane spanned by the magnetization or magnetic field and the electric field. Here,we predict a stable two-dimensional…

Materials Science · Physics 2024-04-22 Ding Li , Maoyuan Wang , Dengfeng Li , Jianhui Zhou

The quantized version of anomalous Hall effect realized in magnetic topological insulators (MTIs) has great potential for the development of topological quantum physics and low-power electronic/spintronic applications. To enable…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Yuchen Ji , Zheng Liu , Peng Zhang , Lun Li , Shifei Qi , Peng Chen , Yong Zhang , Qi Yao , Zhongkai Liu , Kang L. Wang , Zhenhua Qiao , Xufeng Kou

Since the discovery of the anomalous Hall effect (AHE), the anomalous Hall conductivity (AHC) has been thought to be zero when there is no net magnetization. However, the recently found relation between the intrinsic AHE and the Berry…

The quantum anomalous Hall (QAH) phase is a novel topological state of matter characterized by a nonzero quantized Hall conductivity without an external magnetic field. The realizations of QAH effect, however, are experimentally…

Materials Science · Physics 2017-06-09 Ya-ping Wang , Wei-xiao Ji , Chang-wen Zhang , Ping Li , Pei-ji Wang , Biao Kong , Sheng-shi Li , Shi-shen Yan , Kang Liang

The quantum anomalous Hall (QAH) state is a two-dimensional topological insulating state that has quantized Hall resistance of h/Ce2 and vanishing longitudinal resistance under zero magnetic field, where C is called the Chern number. The…

Quantum anomalous Hall effect (QAHE) has been experimentally realized in magnetic topological insulator (MTI) thin films fabricated on magnetically doped (Bi,Sb)2Te3. In a MTI thin film with the magnetic easy axis along the normal direction…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 Xing Yanxia , Cheung King Tai , Xu Fuming , Sun Qing-feng , Wang Jian , Yao Yugui

The spin Hall effect (SHE) is normally discussed in terms of a spin current, which is ill-defined in strongly spin-orbit-coupled systems because of spin non-conservation. In this work we propose an alternative view of SHE phenomena by…

Mesoscale and Nanoscale Physics · Physics 2019-05-16 Hua Chen , Qian Niu , Allan H. MacDonald

Using derivative expansion applied to the Wigner transform of the two - point Green function we analyse the anomalous quantum Hall effect (AQHE), and the chiral magnetic effect (CME). The corresponding currents are proportional to the…

Mesoscale and Nanoscale Physics · Physics 2021-04-23 M. A. Zubkov

Quantum anomalous Hall effect (QAHE) was discovered a decade ago, but is still not utilized beyond a handful of research groups, due to numerous limitations such as extremely low temperature, electric field-effect gating requirement, small…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Hee Taek Yi , Deepti Jain , Xiong Yao , Seongshik Oh

The quantum anomalous Hall (QAH) effect is predicted to possess, at zero magnetic field, chiral edge channels that conduct spin polarized current without dissipation. While edge channels have been observed in previous experimental studies…

Mesoscale and Nanoscale Physics · Physics 2015-08-20 Cui-Zu Chang , Weiwei Zhao , Duk Y. Kim , Peng Wei , J. K. Jain , Chaoxing Liu , Moses H. W. Chan , Jagadeesh S. Moodera

The 'magnetoelectric effect' arises from the coupling between magnetic and electric properties in materials. The Z2 invariant of topological insulators (TIs) leads to a quantized version of this phenomenon, known as the topological…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Di Xiao , Jue Jiang , Jae-Ho Shin , Wenbo Wang , Fei Wang , Yi-Fan Zhao , Chaoxing Liu , Weida Wu , Moses H. W. Chan , Nitin Samarth , Cui-Zu Chang

The electronic anomalous Hall effect (AHE), where charge carriers acquire a velocity component orthogonal to an applied electric field, is one of the most fundamental and widely studied phenomena in physics. There are several different AHE…

So far, experimentally realized quantum anomalous Hall (QAH) insulators all exhibit ferromagnetic order and the QAH effect only occurs at very low temperatures. On the other hand, up to now the QAH effect in antiferromagnetic (AFM)…

Materials Science · Physics 2024-03-20 Peng-Jie Guo , Zheng-Xin Liu , Zhong-Yi Lu

In this paper, we develop a unified theory for describing Hall effect in various electronic systems based on a pure electron picture (without the hole concept). We argue that the Hall effect is the magnetic field induced symmetry breaking…

Strongly Correlated Electrons · Physics 2009-01-26 X. Q. Huang

Combining magnetism and nontrivial band topology gives rise to quantum anomalous Hall (QAH) insulators and exotic quantum phases such as the QAH effect where current flows without dissipation along quantized edge states. Inducing magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Qile Li , Chi Xuan Trang , Weikang Wu , Jinwoong Hwang , Nikhil Medhekar , Sung-Kwan Mo , Shengyuan A. Yang , Mark T Edmonds

Recently, the quantum anomalous Hall effect (QAHE) has been theoretically proposed in compensated antiferromagnetic systems by using the magnetic topological insulator model [see arXiv:2404.13305 (2024)]. However, the related and systematic…

Materials Science · Physics 2025-07-08 Zeyu Li , Yulei Han , Zhenhua Qiao

The anomalous Hall effect (AHE) is a quantum coherent transport phenomenon that conventionally vanishes at elevated temperatures because of thermal dephasing. Therefore, it is puzzling that the AHE can survive in heavy metal…

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