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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…

Quantum anomalous Hall (QAH) insulator is a topological phase which exhibits chiral edge states in the absence of magnetic field. The celebrated Haldane model is the first example of QAH effect, but difficult to realize. Here, we predict…

Materials Science · Physics 2017-03-24 H. P. Wang , Wei Luo , H. J. Xiang

The topological states of matter and topological materials have been attracting extensive interests as one of the frontier topics in condensed matter physics and materials science since the discovery of quantum Hall effect in 1980s. So far…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Huan-Wen Wang , Shun-Qing Shen

Magnetic topological states refer to a class of exotic phases in magnetic materials with their non-trivial topological property determined by magnetic spin configurations. An example of such states is the quantum anomalous Hall (QAH) state,…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Yi-Fan Zhao , Ruoxi Zhang , Zi-Ting Sun , Ling-Jie Zhou , Deyi Zhuo , Zi-Jie Yan , Hemian Yi , Ke Wang , Moses H. W. Chan , Chao-Xing Liu , K. T. Law , Cui-Zu Chang

The discovery of the anomalous Hall effect (AHE) in bulk metallic antiferromagnets (AFMs) motivates the search of the same phenomenon in two-dimensional (2D) systems, where a quantized anomalous Hall conductance can in principle be…

Topological materials have drawn increasing attention owing to their rich quantum properties, as highlighted by a large intrinsic anomalous Hall effect (AHE) in Weyl and nodal-line semimetals. However, the practical applications for…

Strongly Correlated Electrons · Physics 2022-02-24 Alex Hiro Mayo , Hidefumi Takahashi , Mohammad Saeed Bahramy , Atsuro Nomoto , Hideaki Sakai , Shintaro Ishiwata

We present a microscopic theory of the anomalous Hall effect in metallic multi-band ferromagnets, which accounts for all scattering-independent contributions, i.e., both the intrinsic and the so-called side jump. For a model of Gaussian…

Mesoscale and Nanoscale Physics · Physics 2010-07-20 Alexey A. Kovalev , Jairo Sinova , Yaroslav Tserkovnyak

The in-plane anomalous Hall effect occurs when magnetization lies within the same plane as the electric field and Hall current, and requires magnetic point groups lacking rotational or mirror symmetries. While it is observed in both Weyl…

Materials Science · Physics 2026-01-12 Hiroto Saito , Takashi Koretsune

Two-dimensional Chern insulators have emerged as crucial platforms for the realization of the quantum anomalous Hall effect, and as such have attracted significant interest in spintronics and topological quantum physics due to their unique…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

Recent work has extended topological band theory to open, non-Hermitian Hamiltonians, yet little is understood about how non-Hermiticity alters the topological quantization of associated observables. We address this problem by studying the…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Timothy M. Philip , Mark R. Hirsbrunner , Matthew J. Gilbert

The quantum anomalous Hall effect (QAHE) is an exotic quantum phenomenon originating from dissipation-less chiral channels at the sample edge. While the QAHE has been observed in magnetically doped topological insulators (TIs), exploiting…

We develop a symmetry-based low-energy theory for monolayer $\mathrm{WTe}_2$ in its 1T$^{\prime}$ phase, which includes eight bands (four orbitals, two spins). This model reduces to the conventional four-band spin-degenerate Dirac model…

Mesoscale and Nanoscale Physics · Physics 2022-04-08 S. Nandy , D. A. Pesin

Quantum anomalous Hall effect (QAHE) has been experimentally realized in magnetically-doped topological insulators or intrinsic magnetic topological insulator MnBi$_2$Te$_4$ by applying an external magnetic field. However, either the low…

Materials Science · Physics 2020-01-22 Shifei Qi , Ruiling Gao , Maozhi Chang , Yulei Han , Zhenhua Qiao

We propose a new topological quantum state of matter---the two-dimensional (2D) Weyl half semimetal (WHS), which features 2D Weyl points at Fermi level belonging to a single spin channel, such that the low-energy electrons are described by…

Materials Science · Physics 2019-08-28 Jing-Yang You , Cong Chen , Zhen Zhang , Xian-Lei Sheng , Shengyuan A. Yang , Gang Su

The quantum anomalous Hall effect (QAHE) is a quantum phenomenon in which a two-dimensional system exhibits a quantized Hall resistance $h/e^2$ in the absence of magnetic field, where $h$ is the Planck constant and $e$ is the electron…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Zhi-Qiang Zhang , Yu-Hang Li , Ming Lu , Hongfang Liu , Hailong Li , Hua Jiang , X. C. Xie

Electronic correlations could have significant impact on the material properties. They are typically pronounced for localized orbitals and enhanced in low-dimensional systems, so two-dimensional (2D) transition metal compounds could be a…

Materials Science · Physics 2021-09-01 Si Li , Qianqian Wang , Chunmei Zhang , Ping Guo , Shengyuan A. Yang

The anomalous Hall conductivity in the nodal line semimetals (NLSMs) due to the presence of a symmetry-protected nodal ring adds complexity in the investigation of their transport properties. By employing quantum kinetic theory and…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Vivek Pandey , Pankaj Bhalla

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

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

In the quantum anomalous Hall effect, the edge states of a ferromagnetically doped topological insulator exhibit quantized Hall resistance and dissipationless transport at zero magnetic field. Up to now, however, the resistance was…