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Altermagnets represent a recently discovered class of collinear magnets, characterized by antiparallel neighboring magnetic moments and alternating-sign spin polarization in momentum-space($k$-space). However, experimental methods for…

Mesoscale and Nanoscale Physics · Physics 2025-01-27 Rui Chen , Zi-Ming Wang , Hai-Peng Sun , Bin Zhou , Dong-Hui Xu

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

Recently discovered, altermagnetism represents a third class of collinear magnets. These materials exhibit zero net magnetization, similar to antiferromagnets, but display anomalous transport properties resembling those of ferromagnets.…

We study the dynamical evolution of the so-called chiral magnetic effect in an electromagnetic conductor. To this end, we consider the coupled set of corresponding Maxwell and chiral anomaly equations, and we prove that these can be derived…

High Energy Physics - Phenomenology · Physics 2015-10-21 Cristina Manuel , Juan M. Torres-Rincon

The Hall effect usually occurs when the Lorentz force acts on a charge current in a conductor in the presence of perpendicular magnetic field. On the other hand, neutral quasi-particles such as phonons and spins can carry heat current and…

Materials Science · Physics 2010-08-12 Y. Onose , T. Ideue , H. Katsura , Y. Shiomi , N. Nagaosa , Y. Tokura

We predict a spin anomalous-Hall unidirectional magnetoresistance (AH-UMR) in conducting bilayers composed of a ferromagnetic layer and a nonmagnetic layer, which does $\textit{not}$ rely on the spin Hall effect in the normal metal…

Mesoscale and Nanoscale Physics · Physics 2022-05-30 M. Mehraeen , Steven S. -L. Zhang

A Hall effect due to spin chirality in mesoscopic systems is predicted. We consider a 4-terminal Hall system including local spins with geometry of a vortex domain wall, where strong spin chirality appears near the center of vortex. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jun-ichiro Ohe , Tomi Ohtsuki , Bernhard Kramer

The quantum anomalous Hall (QAH) effect - a macroscopic manifestation of chiral band topology at zero magnetic field - has only been experimentally realized by magnetic doping of topological insulators (1 - 3) and delicate design of Moire…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Fabian R. Geisenhof , Felix Winterer , Anna M. Seiler , Jakob Lenz , Tianyi Xu , Fan Zhang , R. Thomas Weitz

We revisit the transport properties induced by the chiral anomaly in a charged plasma holographically dual to anomalous $U(1)_V\times U(1)_A$ Maxwell theory in Schwarzschild-$AdS_5$. Off-shell constitutive relations for vector and axial…

High Energy Physics - Theory · Physics 2016-12-21 Yanyan Bu , Michael Lublinsky , Amir Sharon

Altermagnets are a new class of magnetic materials characterized by fully compensated spins arranged in alternating local structures, allowing for spin-split bands similar to those found in ferromagnets without net magnetism. Recently, MnTe…

The Hall effect, the anomalous Hall effect and the spin Hall effect are fundamental transport processes in solids arising from the Lorentz force and the spin-orbit coupling respectively. The quantum versions of the Hall effect and the spin…

Mesoscale and Nanoscale Physics · Physics 2010-07-13 Rui Yu , Wei Zhang , H. J. Zhang , S. C. Zhang , Xi Dai , Zhong Fang

We examine a possible spin Hall effect for localized spin systems with no charge degrees of freedom. In this scenario, a longitudinal magnetic field gradient induces a transverse spin current carried by spin wave excitations with an…

Strongly Correlated Electrons · Physics 2009-07-03 Satoshi Fujimoto

The issue of anomalous high magnetoresistance, beyond the Julli\`ere model, observed in nonmagnetic electrode-chiral molecular-ferromagnetic electrode devices has puzzled the community for a long time. Here, by considering the magnetic…

Chemical Physics · Physics 2025-12-04 Tian-Yi Zhang , Yue Mao , Peng-Yi Liu , Ai-Min Guo , Qing-Feng Sun

A theoretical formulation of magnetoresistance effect in a metallic ferromagnetic/nonmagnetic bilayer originated from the charge-spin conversion by the anomalous Hall effect is presented. Analytical expressions of the longitudinal and…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 Tomohiro Taniguchi

We analyse the Ising Kondo lattice model on a pyrochlore structure in order to study the anomalous Hall effect due to non-coplanar magnetism. We focus on the frustration-induced spatial inhomogeneity of different magnetic low-temperature…

Strongly Correlated Electrons · Physics 2012-12-04 Masafumi Udagawa , Roderich Moessner

The symmetry considerations that imply a non-zero anomalous Hall effect (AHE) in certain non-collinear antiferromagnets also imply both non-zero orbital magnetization and a net spin magnetization. We have explicitly evaluated the orbital…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Hua Chen , Tzu-Cheng Wang , Di Xiao , Guang-Yu Guo , Qian Niu , Allan H. MacDonald

The efficient detection of the magnetism in 2D antiferromagnetic (AFM) insulators is crucial for the advancement of 2D AFM spintronics and remains a challenging problem. In this letter, we introduce the magnon nonlinear Hall current, a…

Mesoscale and Nanoscale Physics · Physics 2025-05-27 Jinyang Ni , Yuanjun Jin , Guoqing Chang

We study transport phenomena cross-correlated among the heat and electric currents of magnons and Dirac electrons on the surface of ferromagnetic topological insulators. For a perpendicular magnetization, we calculate magnon- (electron-)…

Mesoscale and Nanoscale Physics · Physics 2018-07-23 Yusuke Imai , Hiroshi Kohno

Unlike anomalous quantum Hall insulators, clean single-band chiral superconductors do not exhibit intrinsic Hall effect at the one-loop approximation. Finite ac Hall conductance was found to emerge beyond one-loop, such as with vertex…

Superconductivity · Physics 2020-12-17 Yu Li , Zhiqiang Wang , Wen Huang

Magnons with momentum-dependent chirality are a key signature of altermagnets. We identify bicircular light as a smoking-gun optical probe for chiral altermagnetic magnons, selectively targeting their quantum geometry induced by an…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Rundong Yuan , Wojciech J. Jankowski , Ka Shen , Robert-Jan Slager
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