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We theoretically investigate the anomalous Hall effect (AHE) that requires neither a net magnetization nor an external magnetic field in collinear antiferromagnets. We show that such an emergent AHE is essentially caused by a ferroic…

Strongly Correlated Electrons · Physics 2021-06-02 Satoru Hayami , Hiroaki Kusunose

Valley, as a new degree of freedom for electrons, has drawn considerable attention due to its significant potential for encoding and storing information. Lifting the energy degeneracy to achieve valley polarization is necessary for…

Materials Science · Physics 2020-03-11 Pei Zhaos , Yandong Ma , Hao Wang , Baibiao Huang , Liangzhi Kou , Ying Dai

The electrical Hall effect can be significantly enhanced through the interplay of the conduction electrons with magnetism, which is known as the anomalous Hall effect (AHE). Whereas the mechanism related to band topology has been…

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Kamal Das , Amit Agarwal

For more than 20 years, observation of the non-dissipative Hall viscosity in the quantum Hall effect has been impeded by the difficulty to probe directly the momentum of the two-dimensional electron gas. However, in three-dimensional…

Other Condensed Matter · Physics 2017-12-06 Thomas I. Tuegel , Taylor L. Hughes

Persistent confusion has existed between the intrinsic (Berry curvature) and the side jump mechanisms of anomalous Hall effect (AHE) in ferromagnets. We provide unambiguous identification of the side jump mechanism, in addition to the skew…

Materials Science · Physics 2015-05-20 Yufan Li , Gang Su , Dazhi Hou , Li Ye , Yuan Tian , Jianli Xu , Xiaofeng Jin

The anomalous Hall effect (AHE) is a well-known fundamental property of ferromagnetic metals, commonly associated with the presence of a net magnetization. Recently, an AHE has been discovered in non-collinear antiferromagnetic (AFM)…

Materials Science · Physics 2019-04-25 Gautam Gurung , Ding-Fu Shao , Tula R. Paudel , Evgeny Y. Tsymbal

In the anomalous Hall effect (AHE), the magnetization, electric field and the Hall current are presumed to be mutually vertical to each other. In this work, we propose an unconventional AHE where the magnetization, the electric field and…

Materials Science · Physics 2021-06-24 Hengxin Tan , Yizhou Liu , Binghai Yan

As a strongly spin-orbit coupled metallic model with ferromagnetism, we have considered an extended Stoner model to the relativistic regime, named Dirac ferromagnet in three dimensions. In the previous paper~[Phys. Rev. B 90, 214418…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Junji Fujimoto

We report experimental observation of the Planar Hall effect (PHE) in a type-II Dirac semimetal PtTe$_2$. This unusual Hall effect is not expected in nonmagnetc materials such as PtTe$_2$, and has been observed previously mostly in magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Amit Vashist , R. K. Singh , Neha Wadehra , S. Chakraverty , Yogesh Singh

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

The anomalous Hall effect (AHE) is a non-linear Hall effect appearing in magnetic conductors, boosted by internal magnetism beyond what is expected from the ordinary Hall effect. With the recent discovery of the quantized version of the…

Materials Science · Physics 2019-05-06 Jisoo Moon , Jinwoong Kim , Nikesh Koirala , Maryam Salehi , David Vanderbilt , Seongshik Oh

The conventional Hall effect is linearly proportional to the field component or magnetization component perpendicular to a film. Despite the increasing theoretical proposals on the Hall effect to the in-plane field or magnetization in…

Mesoscale and Nanoscale Physics · Physics 2024-06-04 Yongwei Cui , Zhaoqing Li , Haoran Chen , Yue Chen , Yunzhuo Wu , Ke Pei , Tong Wu , Nian Xie , Renchao Che , Xuepeng Qiu , Yi Liu , Zhe Yuan , Yizheng Wu

Nonlinear anomalous Hall effect is the Berry curvature dipole induced second-order Hall voltage or temperature difference in response to a longitudinal electric field or temperature gradient. These are the prominent Hall responses in time…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Atasi Chakraborty , Kamal Das , Subhajit Sinha , Pratap Chandra Adak , Mandar M. Deshmukh , Amit Agarwal

An interaction-driven nonzero quantum Hall conductivity is shown to occur in time-reversal symmetric massive Dirac materials, in the absence of any external agent. The effect is produced through the dynamical breakdown of time-reversal…

Strongly Correlated Electrons · Physics 2017-02-07 Leandro O. Nascimento , E. C. Marino , Van Sérgio Alves , C. Morais Smith

We investigate the possibility of observing the anomalous Hall effect (AHE) in two dimensional paramagnetic systems. We apply the semiclassical equations of motion to carriers in the conduction and valence bands of wurtzite and zincblende…

Condensed Matter · Physics 2009-11-10 Dimitrie Culcer , Allan MacDonald , Qian Niu

In two-dimensional materials where interacting Fermi pockets occur in valleys related by time-reversal symmetry, a spontaneous valley imbalance results in a novel state known as an orbital magnet. Due to the breaking of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2026-05-18 Fernando Peñaranda , Fernando de Juan

We experimentally investigate a non-linear Hall effect for three-dimensional WTe$_2$ and Cd$_3$As$_2$ single crystals, representing Weyl and Dirac semimetals, respectively. We observe finite second-harmonic Hall voltage, which depends…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 O. O. Shvetsov , V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

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

Spin spirals represent a fundamental class of noncollinear yet coplanar magnetic structures that give rise to diverse emergent phenomena reflecting spin chirality. We investigate metallic systems hosting commensurate spin spirals and…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 Shun Okumura , Moritz M. Hirschmann , Yukitoshi Motome