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Combining magnetism with band topology provides various novel phases that are otherwise impossible. Among several cases, noncollinear metallic antiferromagnets can reveal particularly rich topological physics due to their diverse magnetic…

Strongly Correlated Electrons · Physics 2022-04-12 Pyeongjae Park , Yoon-Gu Kang , Junghyun Kim , Ki Hoon Lee , Han-Jin Noh , Myung Joon Han , Je-Geun Park

The integration of ferroelectric (FE) and antiferromagnetic (AFM) orders in twodimensional (2D) materials provides a promising avenue for the nonvolatile control of coupled spin and valley degrees of freedom, a capability central to…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Quan Shen , Wenhu Liao , Degao Xu , Jiansheng Dong , Jianing Tan

Ferroelectricity, a hallmark of spontaneous inversion-symmetry breaking, has been a central concept in condensed matter physics and functional materials research, yet recent discoveries are revealing that switchable polarization can emerge…

Materials Science · Physics 2026-05-11 Yudi Yang , Changming Ke , Shi Liu

Me$_{3+\delta}$Ge, being a Weyl semimetal, shows a large anomalous Hall effect (AHE), which decreases slowly with an increase in $\delta$ from 0.1 to 0.4. However, AHE in this compound remains significantly large in the whole range of…

Strongly Correlated Electrons · Physics 2023-05-17 Venus Rai , Anne Stunault , Wolfgang Schmidt , Subhadip Jana , Jörg Perßon , Thomas Brückel , Shibabrata Nandi

It has been theoretically predicted that perturbation of the Berry curvature by electromagnetic fields gives rise to intrinsic nonlinear anomalous Hall effects that are independent of scattering. Two types of nonlinear anomalous Hall…

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 intrinsic anomalous Hall effect in metallic ferromagnets is shown to be controlled by Berry phases accumulated by adiabatic motion of quasiparticles on the Fermi surface, and is purely a Fermi-liquid property, not a ``bulk'' Fermi sea…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 F. D. M. Haldane

Anomalous Hall effect (AHE), a protocol of various low-power dissipation quantum phenomena and a fundamental precursor of intriguing topological phases of matter, is usually observed in ferromagnetic materials with orthogonal configuration…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Jin Cao , Wei Jiang , Xiao-Ping Li , Daifeng Tu , Jiadong Zhou , Jianhui Zhou , Yugui Yao

Berry curvature and skew-scattering play central roles in determining both the linear and nonlinear anomalous Hall effects. Yet in {\it PT}-symmetric antiferromagnetic metals, Hall effects from either intrinsic Berry curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Da Ma , Arpit Arora , Giovanni Vignale , Justin C. W. Song

An anomalous Hall effect (AHE) in antiferromagnetic (AF) systems with no net magnetization is of considerable interest for both fundamental physics and spintronic applications. Of particular interest is the two-dimensional van der Waals…

The integration of ferroelectric and topological materials offers a promising avenue for advancing the development of quantum material devices. In this work, we explore the strong coupling between topological states and ferroelectricity in…

Materials Science · Physics 2025-12-17 Jiaheng Li , Quansheng Wu , Hongming Weng

Using symmetry analysis and semiclassical Boltzmann equation, we theoretically explore the planar Hall effect (PHE) in three-dimensional materials. We demonstrate that PHE is a general phenomenon that can occur in various systems regardless…

Mesoscale and Nanoscale Physics · Physics 2023-08-23 Lei Li , Jin Cao , Chaoxi Cui , Zhi-Ming Yu , Yugui Yao

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Altermagnets break time-reversal symmetry, preserve the crystal translation invariance, and have a spin density with $d$-wave, $g$-wave, etc. momentum dependencies which do not contribute to the magnetization. When an $s$-wave spin-density…

Materials Science · Physics 2025-05-07 Keigo Takahashi , Charles R. W. Steward , Masao Ogata , Rafael M. Fernandes , Jörg Schmalian

The emergent Weyl modes with the broken time-reversal symmetry or inversion symmetry provide large Berry curvature and chirality to carriers, offering the realistic platforms to explore topology of electrons in three-dimensional systems.…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Jingyuan Zhong , Jianfeng Wang , Ming Yang , Jie Liu , Zhizhen Ren , Anping Huang , Zhixiang Shi , Zengwei Zhu , Yan Shi , Weichang Hao , Jincheng Zhuang , Yi Du

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Timothy M. McCormick , Robert C. McKay , Nandini Trivedi

A new nonlinear scheme of high harmonics generation in a wide class of time-reversal invariant materials with broken spatial inversion symmetry (where recently the nonlinear Hall effect has been established) due to the nontrivial topology…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 H. K. Avetissian , G. F. Mkrtchian

In ferromagnetic solids, even in absence of magnetic field, a transverse voltage can be generated by a longitudinal temperature gradient. This thermoelectric counterpart of the Anomalous Hall effect (AHE) is dubbed the Anomalous Nernst…

Materials Science · Physics 2020-04-02 Haiyang Yang , Wei You , Jialu Wang , Junwu Huang , Chuanying Xi , Chao Cao , Mingliang Tian , Zhu-An Xu , Jianhui Dai , Yuke Li

Dirac and Weyl semimetals are new discovered topological nontrivial materials with the linear band dispersions around the Dirac/Weyl points. When applying non-orthogonal electric current and magnetic field, an exotic phenomenon called…

Mesoscale and Nanoscale Physics · Physics 2019-04-17 Qianqian Liu , Bo Chen , Boyuan Wei , Shuai Zhang , Minhao Zhang , Faji Xie , Muhammad Naveed , Fucong Fei , Baigen Wang , Fengqi Song
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