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We unveil that non-Abelian multigap band topology characterized by nontrivial Euler class invariants induces observable magnetononlinear Hall transport phenomena. We demonstrate these effects in a highly-tunable class of recently…

Mesoscale and Nanoscale Physics · Physics 2026-04-30 Chun Wang Chau , Wojciech J. Jankowski , Bo Peng , Robert-Jan Slager

This dissertation presents a systematic theoretical investigation into realizing a condensed matter analogue of the Chiral Magnetic Effect (CME) in a quasi-planar, 2+1D system. The research establishes a conceptual bridge between the…

Other Condensed Matter · Physics 2025-12-30 Leonardo Lopes

Transport property under metallic ferroaxial ordering in an external magnetic field is theoretically investigated. After presenting the relation between the magnetoconductivity tensor and ferroaxial moment from the symmetry viewpoint, we…

Strongly Correlated Electrons · Physics 2024-04-23 Satoru Hayami , Rikuto Oiwa , Hiroaki Kusunose

The anomalous Hall effect has considerable impact on the progress of condensed matter physics and occurs in systems with time-reversal symmetry breaking. Here we theoretically investigate the anomalous Hall effect in nonmagnetic…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Huan-Wen Wang , Bo Fu , Shun-Qing Shen

We theoretically investigate an intrinsic nonlinear anomalous Hall effect (INAHE) in space-time ($\mathcal{PT}$) symmetric antiferromagnetic metals. The INAHE is characterized by an asymmetric and non-dissipative part of the second-order…

Strongly Correlated Electrons · Physics 2023-04-10 Akimitsu Kirikoshi , Satoru Hayami

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.…

The anomalous Hall effect is deemed to be a unique transport property of ferromagnetic metals, caused by the concerted action of spin polarization and spin-orbit coupling. Nevertheless, recent experiments have shown that the effect also…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Steven S. -L. Zhang , Giovanni Vignale

The Hall effect, ever intriguing since its discovery, has spurred the exploration of its phenomena, intensified by advances in topology and novel materials. Differentiating the ordinary Hall effect from extraordinary properties like the…

Materials Science · Physics 2025-09-23 ShengNan Zhang , Zhihao Liu , Hanqi Pi , Zhong Fang , Hongming Weng , QuanSheng Wu

We present a study of transport in multiple-band non-interacting Fermi metallic systems based on the Keldysh formalism, taking into account the effects of Berry curvature due to spin-orbit coupling. We apply this formalism to a Rashba 2DEG…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Alexey A. Kovalev , Yaroslav Tserkovnyak , Karel Vyborny , Jairo Sinova

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Woelfle , K. A. Muttalib

Magnetic frustrated systems have resurged in spintronics as optimal candidates for hosting three dimensional topological solitons, such as Shankar skyrmions and 4$\pi$-vortices, and other singular topological defects. These topological…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Ricardo Zarzuela , Jairo Sinova

The interplay of electron correlations and topological phases gives rise to various exotic phenomena including fractionalization, excitonic instability, and axionic excitation. Recently-discovered transition-metal pentatellurides can reach…

Mesoscale and Nanoscale Physics · Physics 2023-11-21 Cheng Zhang , Jinshan Yang , Zhongbo Yan , Xiang Yuan , Yanwen Liu , Minhao Zhao , Alexey Suslov , Jinglei Zhang , Li Pi , Zhong Wang , Faxian Xiu

Altermagnets are a class of magnetic materials that exhibit unconventional transport properties, such as an anomalous Hall effect, despite having compensated sublattice magnetic moments. In this study, we report fundamental experimental…

The anomalous Hall effect, observed in conducting ferromagnets with broken time-reversal symmetry, offers the possibility to couple spin and orbital degrees of freedom of electrons in ferromagnets. In addition to charge, the anomalous Hall…

Materials Science · Physics 2018-07-04 Yumeng Yang , Ziyan Luo , Haijun Wu , Yanjun Xu , Run-Wei Li , Stephen J. Pennycook , Shufeng Zhang , Yihong Wu

While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect (AHE). Here we introduce a model with altermagnetism in which the emergence…

Strongly Correlated Electrons · Physics 2024-09-05 Toshihiro Sato , Sonia Haddad , Ion Cosma Fulga , Fakher F. Assaad , Jeroen van den Brink

The Hall effect, in which current flows perpendicular to an applied electrical bias, has played a prominent role in modern condensed matter physics over much of the subject's history. Appearing variously in classical, relativistic and…

Materials Science · Physics 2021-07-08 Libor Smejkal , Allan H. MacDonald , Jairo Sinova , Satoru Nakatsuji , Tomas Jungwirth

Superlattice formation dictates the physical properties of many materials, including the nature of the ground state in magnetic materials. Chemical composition is commonly considered to be the primary determinant of superlattice identity,…

Momentum-space topology of electrons under strong spin-orbit coupling contributes to the electrically induced torques exerting on magnetic textures insensitively to disorder or thermal fluctuation. We present a direct connection between…

Mesoscale and Nanoscale Physics · Physics 2022-01-06 Yasufumi Araki , Jun'ichi Ieda

Antiferromagnets are promising candidates for next-generation spintronic devices owing to their negligible stray fields and ultrafast spin dynamics. The noncollinear antiferromagnet $\mathrm{Mn}_{3}\mathrm{Sn}$ exhibits a large anomalous…

Materials Science · Physics 2026-03-17 Yiming Liu , Xin Liu , Jiayao Zhu , Fengxian Ma , Li Ma , Dewei Zhao , Guoke Li , Congmian Zhen , Denglu Hou

In itinerant magnets, the indirect exchange coupling of Ruderman-Kittel-Kasuya-Yosida type is known to stabilize incommensurate spin spiral. Whereas an account of higher order spin interactions favors the formation of a noncoplanar magnetic…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 G. V. Paradezhenko , A. A. Pervishko , N. Swain , P. Sengupta , D. Yudin