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We demonstrate that spin-orbit coupled electrons in a magnetically doped system exert a spin torque on the local magnetization, without a flowing current, when the chemical potential is modulated in a magnetic field. The spin torque is…

Mesoscale and Nanoscale Physics · Physics 2015-09-17 Kentaro Nomura , Daichi Kurebayashi

RuO$_2$ is one of the most highlighted candidates for altermagnetism. However, the most recent muon spin spectroscopy and neutron studies demonstrated the absence of magnetic order in this system. The electronic structure of RuO$_2$ hints…

Materials Science · Physics 2025-02-04 Andriy Smolyanyuk , Libor Šmejkal , Igor I. Mazin

This article reviews the main contributions to the anomalous Hall effect and its resurgence in the past three decades, which has been accompanied by the rise of topological phenomena and topological materials. I will show that the anomalous…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Dimitrie Culcer

We measure magnetic field dependence of the Hall angle in a metallic ferromagnetic nanomagnet with stable local magnetic moments where the adopted mechanisms of Hall effect predict linear plus a constant dependence on the external field…

Mesoscale and Nanoscale Physics · Physics 2020-10-05 Vadym Zayets , Andrey S. Mishchenko

An oscillographic study of the Hall voltage with an unpolarized alternating current through a platinum sample revealed choral features of the Hall effect, which clearly demonstrate the presence of the spin Hall effect in metals with a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Yu. N. Chiang , M. O. Dzyuba

Anomalous transports, including the anomalous Hall effect (AHE) and anomalous Nernst effect (ANE), are typical manifestations of time-reversal-symmetry-breaking responses in materials. In general, the two Hall states with opposite Hall…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Dan Li , Shuaiyu Wang , Jiabin chen , Zeling Li , Chaoxi Cui , Lei Li , Lei Wang , Zhi-Ming Yu , Xiaodong Zhou , Xiao-Ping Li

Parallel electric and magnetic fields applied to Weyl semimetals pump axial charge via the axial anomaly until balanced by intervalley relaxation. The resulting nonequilibrium steady state exhibits the chiral magnetic effect as well as the…

Mesoscale and Nanoscale Physics · Physics 2023-03-01 Yusuke Nishida

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…

Altermagnetism has surfaced as a novel magnetic phase, bridging the properties of ferro- and anti-ferromagnetism. The momentum-dependent spin-splitting observed in these materials reflects their unique symmetry characteristics, which also…

The anomalous Hall effect describes the generation of a transverse voltage by a longitudinal current even in the absence of an external magnetic field. While typically observed in ferromagnets, it has also been predicted to arise in…

In magnetically doped thin-film topological insulators, aligning the magnetic moments generates a quantum anomalous Hall phase supporting a single chiral edge state. We show that as the system de-magnetizes, disorder from randomly oriented…

Mesoscale and Nanoscale Physics · Physics 2019-07-30 Arbel Haim , Roni Ilan , Jason Alicea

The discovery of an anomalous Hall effect (AHE) sensitive to the magnetic state of antiferromagnets can trigger a new era of spintronics, if materials that host a tunable and strong AHE are identified. Altermagnets are a new class of…

We show that magnetic insulators with a collinear and compensated order can exhibit a thermal Hall effect even at zero magnetic field if they have altermagnetic symmetries. We predict a finite thermal Hall conductivity vector…

Mesoscale and Nanoscale Physics · Physics 2025-07-24 Rhea Hoyer , Rodrigo Jaeschke-Ubiergo , Kyo-Hoon Ahn , Libor Šmejkal , Alexander Mook

We predict a nonlinear Hall effect in certain Weyl semimetals with broken inversion symmetry. When the energy dispersions about pairs of Weyl nodes are skewed -- the Weyl cones are "tilted" -- the concerted actions of the anomalous velocity…

Mesoscale and Nanoscale Physics · Physics 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

In [B. Binz, A. Vishwanath and V. Aji, Phys. Rev. Lett. 96, 207202 (2006)], a magnetic structure that breaks time reversal symmetry in the absence of net magnetization was proposed as an explanation for the high pressure "partially ordered"…

Strongly Correlated Electrons · Physics 2009-11-11 B. Binz , A. Vishwanath

Electrical resistivities can be different for charge currents travelling parallel or perpendicular to the magnetization in magnetically ordered conductors or semiconductors, resulting in the well-known planar Hall effect and anisotropic…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 J. Liu , L. J. Cornelissen , J. Shan , T. Kuschel , B. J. van Wees

We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

Order parameters not only characterize symmetry-broken equilibrium phases but also govern transport phenomena in the nonequilibrium regime. Altermagnets, a class of magnetic systems integrating ferromagnetic and antiferromagnetic features,…

Materials Science · Physics 2025-08-04 Hye-Won Ko , Kyung-Jin Lee

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 spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Junya Shibata , Hiroshi Kohno