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Electronic states with non-trivial topology host a number of novel phenomena with potential for revolutionizing information technology. The quantum anomalous Hall effect provides spin-polarized dissipation-free transport of electrons, while…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Daniel Guterding , Harald O. Jeschke , Roser Valenti

Quantum anomalous Hall effect (QAHE) is a fundamental transport phenomenon in the field of condensed-matter physics. Without external magnetic field, spontaneous magnetization combined with spin-orbit coupling give rise to a quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Z. F. Wang , Zheng Liu , Feng Liu

Using a realistic model relevant to La$_2$CuO$_4$ and other altermagnetic perovskite oxides, we study interrelations between weak ferromagnetism (WF), anomalous Hall effect (AHE), and net orbital magnetization (OM). All of them can be…

Materials Science · Physics 2025-06-27 I. V. Solovyev , S. A. Nikolaev , A. Tanaka

We study the possibility of realizing quantum anomalous Hall effect (QAHE) with tunable Chern number through doping magnetic elements in the multi-layer topological insulator film. We find that high Chern number QAHE phases exist in the…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Hua Jiang , Zhenhua Qiao , Haiwen Liu , Qian Niu

A single layer ferromagnetic film magnetized in the plane of an ac current flow, exhibits a characteristic Hall voltage with harmonic and second harmonic components, which is attributed to the presence of spin currents with polarization…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Soumik Aon , Harekrishna Bhunia , Pratap Kumar Pal , Abu Bakkar Miah , Dhananjaya Mahapatra , Anjan Barman , Partha Mitra

Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs without the need of external magnetic field. A system composed of multiple parallel QAH layers is an effective high Chern number QAH insulator and the key to the…

A single ferromagnetic kagome layer is predicted to realize a Chern insulator with quantized Hall conductance, which upon stacking can become a Weyl-semimetal with large anomalous Hall effect (AHE) and magneto-optical activity. Indeed, in…

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

The interaction between conduction electrons and localized magnetic moments profoundly influences the electrical and magnetic properties of materials, giving rise to a variety of fascinating physical phenomena and quantum effects. Here, we…

The anomalous Hall effect is investigated theoretically by means of density functional calculations for the non-collinear antiferromagnetic order of the hexagonal compounds Mn$_3$Ge and Mn$_3$Sn using various planar triangular magnetic…

Materials Science · Physics 2015-06-23 Juergen Kübler , Claudia Felser

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

Piezomagnetism couples strain linearly to magnetic order producing magnetization. Thus, unlike magnetostriction, it enables bidirectional control of a net magnetic moment. If this effect becomes large at room temperature, it may be…

We propose and theoretically study minimal models of N\'{e}el ordered collinear (compensated) antiferromagnets that show the anomalous Hall effect. For simplicity, we first consider two-dimensional models of antiferromagnets with two…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Vladimir P. Golubinskii , Vladimir A. Zyuzin

The long-sought Chern insulators that manifest quantum anomalous Hall effect are typically considered to occur solely in ferromagnets. Here, we theoretically predict the realizability of Chern insulators in antiferromagnets, of which the…

Materials Science · Physics 2024-09-24 Yuntian Liu , Jiayu Li , Qihang Liu

The Anomalous Hall Effect (AHE) manifests as a transverse voltage proportional to magnetization in ferromagnetic materials under the application of a charge current, being an indispensable tool for probing magnetism, especially in nanoscale…

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…

Mesoscale and Nanoscale Physics · Physics 2024-05-14 Kajetan M. Fijalkowski , Nan Liu , Martin Klement , Steffen Schreyeck , Karl Brunner , Charles Gould , Laurens W. Molenkamp

The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Amir Sabzalipour , Bart Partoens

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 anomalous Hall and Nernst effects describe the voltage drop perpendicular to an applied current and temperature gradient due to the magnetization of a magnetic material. These effects can be utilized to measure the Berry curvature at…

Strongly Correlated Electrons · Physics 2024-02-01 Longfei Li , Shuyue Guan , Shengwei Chi , Jiawei Li , Xinxuan Lin , Gang Xu , Shuang Jia

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…

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