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Historically, the genesis of anomalous Hall effect (AHE) in magnetic materials has always been a fascinating yet controversial topic in the solid state physics community. Recent progress on the understanding of this topic has revealed an…

Strongly Correlated Electrons · Physics 2021-11-29 Durgesh Singh , Jadupati Nag , Sankararao Yadam , V. Ganesan , Aftab Alam , K. G. Suresh

Geometric phases in condensed matter play a central role in topological transport phenomena such as the quantum, spin and anomalous Hall effect (AHE). In contrast to the quantum Hall effect - which is characterized by a topological…

We predict a magnetic Weyl semimetal in the inverse Heusler Ti2MnAl, a compensated ferrimagnet with a vanishing net magnetic moment and a Curie temperature of over 650 K. Despite the vanishing net magnetic moment, we calculate a large…

Non-trivial spin structures in itinerant magnets can give rise to topological Hall effect (THE) due to the interacting local magnetic moments and conductive electrons. While, in series of materials, THE has mostly been observed at low…

Strongly Correlated Electrons · Physics 2021-03-16 Gaoshang Gong , Longmeng Xu , Yuming Bai , Yongqiang Wang , Songliu Yuan , Yong Liu , Zhaoming Tian

Quantum geometry - the geometry of electron Bloch wavefunctions - is central to modern condensed matter physics. Due to the quantum nature, quantum geometry has two parts, the real part quantum metric and the imaginary part Berry curvature.…

We predict a so-called axial Hall effect, a Berry-curvature-driven anomalous Hall response, in Lieb-lattice altermagnets. By constructing a tight-binding model, we identify the axial direction as a hidden topological degree of freedom.…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Xilong Xu , Haonan Wang , Li Yang

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

Recent experimental and theoretical studies have revealed the emergence of a linear layer Hall effect (LHE) induced by hidden Berry curvature in \textrm{MnBi}$_{2}$\textrm{Te}$_{4}$ thin films. This phenomenon underscores the layer degree…

Mesoscale and Nanoscale Physics · Physics 2025-10-29 Zhuo-Hua Chen , Hou-Jian Duan , Ming-Xun Deng , Rui-Qiang Wang

We investigate spin-dependent transport phenomena in epitaxially grown Fe$_3$Si films, focusing on the anisotropic magnetoresistance (AMR), planar Hall effect (PHE), anomalous Hall effect (AHE), and spin Hall effect (SHE). While the sign…

Mesoscale and Nanoscale Physics · Physics 2025-04-21 Nozomi Soya , Michihiro Yamada , Kohei Hamaya , Kazuya Ando

Layer-polarized anomalous Hall effect (LP-AHE), derived from the coupling between Berry curvature and layer degree of freedom, is of importance for both fundamental physics and device applications. Nonetheless, the current research paradigm…

Materials Science · Physics 2022-06-24 Ting Zhang , Xilong Xu , Baibiao Huang , Ying Dai , Liangzhi Kou , Yandong Ma

The antiferromagnetic (AFM) materials are distinguished by zero net magnetic moment, high resistance to external magnetic disturbances, and ultrafast dynamic responses. For advancing AFM materials in spintronic and valleytronic…

Materials Science · Physics 2025-01-23 Ankita Phutela , Saswata Bhattacharya

The topological Hall effect (THE) is critical to the exploration of the spin chirality generated by the real-space Berry curvature, which has attracted worldwide attention for its prospective applications in spintronic devices. However, the…

The discovery of the intrinsic anomalous Hall effect (AHE) in noncollinear antiferromagnets where transverse Hall voltage emerges without magnetic field, has opened a plethora of promising opportunities in antiferromagnetic devices. The key…

Recent reports of a large anomalous Hall effect (AHE) in ferromagnetic Weyl semimetals (FM WSM) have led to a resurgence of interest in this enigmatic phenomenon. However, due to a lack of tunable materials, the interplay between the…

Antiferromagnetic (AFM) spintronics exploits the N\'eel vector as a state variable for novel spintronic devices. Recent studies have shown that the field-like and antidamping spin-orbit torques (SOT) can be used to switch the N\'eel vector…

Materials Science · Physics 2020-02-18 Ding-Fu Shao , Shu-Hui Zhang , Gautam Gurung , Wen Yang , Evgeny Y. Tsymbal

Magnetic topological semimetals exhibit emerging magneto-transport behaviors, such as the giant anomalous Hall effect (AHE), chiral Hall effect, and antisymmetric magnetoresistance. In this work, based on the magnetic Weyl semimetal…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Jinying Yang , Qingqi Zeng , Yibo Wang , Meng Lyu , Yang Liu , Xingchen Liu , Xuebin Dong , Binbin Wang , Xiyang Li , Enke Liu

The conventional Hall effect is linearly proportional to the field component or magnetization component perpendicular to a film. Despite the increasing theoretical proposals on the Hall effect to the in-plane field or magnetization in…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Yongwei Cui , Zhaoqing Li , Haoran Chen , Yue Chen , Yunzhuo Wu , Ke Pei , Tong Wu , Nian Xie , Renchao Che , Xuepeng Qiu , Yi Liu , Zhe Yuan , Yizheng Wu

The recent observations of nonlinear Hall effect in time-reversal symmetry protected systems and on the surface of three-dimensional topological insulators due to an in-plane magnetic field have attracted immense experimental and…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Rajesh K. Malla , Avadh Saxena , Wilton J. M. Kort-Kamp

A new mechanism of spin structure-driven anomalous Hall effect (AHE) in tilted ferromagnetic metals is proposed by taking account of the d-orbital degree of freedom. We find that a conduction electron acquires a Berry phase due to the…

Strongly Correlated Electrons · Physics 2009-09-14 Takeshi Tomizawa , Hiroshi Kontani

In a system with inversion symmetry broken, a second-order nonlinear Hall effect can survive even in the presence of time-reversal symmetry. In this work, we show that a giant nonlinear Hall effect can exist in twisted bilayer WTe2 system.…

Materials Science · Physics 2021-04-30 Zhihai He , Hongming Weng
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