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We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. A. Burkov , Leon Balents

Altermagnets, recently proposed as a third category of collinear magnets, combine the features of zero net magnetization in antiferromagnets and the spin splitting in ferromagnets. While abundant spectroscopic evidence for altermagnetism…

Materials Science · Physics 2026-04-24 Wenbo Wan , Xu Zhang , Yixuan Luo , Yanfeng Guo , Shiyan Li

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…

We present a simple model for a description of magnetization processes in rare-earth tetraborides. The model is based on the coexistence of two subsystems, and namely, the spin subsystem described by the Ising model and the electronic…

Strongly Correlated Electrons · Physics 2015-05-18 Pavol Farkašovský , Hana Čenčariková , Slavomir Mataš

We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Sina Gholizadeh , Dimitrie Culcer

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

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.…

Altermagnetism is introduced as a category of magnetic states with vanishing net magnetic moment, and consists of collinear alternating (i.e., antiferromagnetic-like) spins and alternating variations of local structures around spins in such…

Strongly Correlated Electrons · Physics 2024-01-26 Sang-Wook Cheong , Fei-Ting Huang

Motivated by recent experiments on the metamagnet FeBr2, anomalies of the magnetization and the specific heat in the antiferromagnetic phase of related spin models are studied systematically using Monte Carlo simulations. In particular, the…

Condensed Matter · Physics 2009-10-30 Michel Pleimling , Walter Selke

We discover an intrinsic dipole Hall effect in a variety of magnetic insulating states at integer fillings of twisted MoTe$_2$ moir\'e superlattice, including topologically trivial and nontrivial ferro-, antiferro-, and ferri-magnetic…

Strongly Correlated Electrons · Physics 2024-09-16 Feng-Ren Fan , Cong Xiao , Wang Yao

Recently, MnTe was established as an altermagnetic material that hosts spin-polarized electronic bands as well as anomalous transport effects like the anomalous Hall effect. In addition to these effects arising from altermagnetism, MnTe…

The quantum anomalous Hall effect has been theoretically predicted and experimentally verified in magnetic topological insulators. In addition, the surface states of these materials exhibit a hedgehog-like "spin" texture in momentum space.…

Mesoscale and Nanoscale Physics · Physics 2017-04-07 Narayan Mohanta , Arno P. Kampf , Thilo Kopp

Ferromagnetic Weyl semi-metals exhibit an anomalous Hall effect, a consequence of their topological properties. In the non-interacting case, the derivative of the orbital magnetization with respect to chemical potential is proportional to…

Strongly Correlated Electrons · Physics 2019-04-05 S. Acheche , R. Nourafkan , A. -M. S. Tremblay

Skyrmions and other chiral spin textures have been extensively studied as potential building blocks for novel spintronic devices. Hall-resistivity anomalies that deviate from magnetization scaling, known as the topological Hall effect, have…

Strongly Correlated Electrons · Physics 2026-03-31 BoCheng Yu , JiaLiang Jiang , Jing Meng , XiaoYan Zhu , Jie Ma , HaiFeng Du , QingFeng Zhan , Jin Tang , Yang Xu , Tian Shang

It is shown that external magnetic field or magnetization induces electric polarization of microscopic isolated magnetic/non-magnetic hybrid structures due to the spin-dependent electron redistribution and mutual capacity. The…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 P. V. Pyshkin , A. V. Yanovsky

As novel topological phases in correlated electron systems, we have found two examples of non-ferromagnetic states that exhibit a large anomalous Hall effect. One is the chiral spin liquid compound Pr$_{2}$Ir$_{2}$O$_{7}$, which exhibits a…

Strongly Correlated Electrons · Physics 2017-08-09 S. Nakatsuji , T. Higo , M. Ikhlas , T. Tomita , Z. Tian

The recently discovered material Co$_3$Sn$_2$S$_2$ shows an impressive behavior of the quantum anomalous Hall (QAH) conductivity driven by the interplay between ferromagnetism in the $z$ direction and antiferromagnetism in the $xy$ plane.…

Strongly Correlated Electrons · Physics 2020-05-27 Julian Legendre , Karyn Le Hur

A hybrid spin-electron system defined on one-dimensional double-tetrahedral chain, in which the localized Ising spin regularly alternates with two mobile electrons delocalized over a triangular plaquette, is exactly solved with the help of…

Statistical Mechanics · Physics 2015-06-23 Lucia Galisova , Jozef Strecka

We demonstrate the emergence of an anomalous Hall effect in chiral magnetic textures which is neither proportional to the net magnetization nor to the well-known emergent magnetic field that is responsible for the topological Hall effect.…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Fabian R. Lux , Frank Freimuth , Stefan Blügel , Yuriy Mokrousov

Emergent magnetic fields exerted by topological spin textures of magnets lead to an additional Hall response of itinerant carriers called the topological Hall effect (THE). While THE as a bulk effect has been widely studied, THE driven by…

Materials Science · Physics 2024-07-31 S. Nishihaya , Y. Watanabe , M. Kriener , A. Nakamura , M. Uchida
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