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For over a century, the Hall effect, a transverse effect under out-of-plane magnetic field or magnetization, has been a cornerstone for magnetotransport studies and applications. Modern theoretical formulation based on the Berry curvature…

介观与纳米尺度物理 · 物理学 2024-12-05 Ayano Nakamura , Shinichi Nishihaya , Hiroaki Ishizuka , Markus Kriener , Yuto Watanabe , Masaki Uchida

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

The planar Hall effect (PHE), the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields, has been ascribed to the chiral anomaly and Berry curvature effects in Weyl semimetals. In the presence…

介观与纳米尺度物理 · 物理学 2023-10-06 L. Medel Onofre , A. Martín-Ruiz

The in-plane-magnetic-field-induced Hall effect (IPHE) observed in Weyl semimetals and PT-symmetric antiferromagnets has attracted increasing attention, as it breaks the stereotype that the Hall effect is induced by an out-of-plane magnetic…

材料科学 · 物理学 2025-01-22 Meng Wang , Jianbing Zhang , Di Tian , Pu Yu , Fumitaka Kagawa

The planar Hall effect (PHE), the appearance of an in-plane transverse voltage in the presence of co-planar electric ($\mathbf{E}$) and magnetic ($\mathbf{B}$) fields, occurs in regular Weyl semimetals (WSMs) as one of the fundamental…

强关联电子 · 物理学 2020-09-23 Suvendu Ghosh , Debabrata Sinha , Snehasish Nandy , A. Taraphder

The origin of anomalous Hall effect (AHE) in magnetic materials is one of the most intriguing aspect in condensed matter physics and has been controversial for a long time. Recent studies indicate that the intrinsic AHE is closely related…

强关联电子 · 物理学 2018-09-13 Qi Wang , Yuanfeng Xu , Rui Lou , Zhonghao Liu , Man Li , Yaobo Huang , Dawei Shen , Hongming Weng , Shancai Wang , Hechang Lei

After the experimental realization, the Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to the condensed matter community. Here, we investigate another family of Hall effect, namely,…

介观与纳米尺度物理 · 物理学 2021-11-24 Snehasish Nandy , Chuanchang Zeng , Sumanta Tewari

We propose the linear and nonlinear planar Hall effect (PHE) in tilted Weyl semimetals in the presence of an in-plane magnetic and electric field, where the field-induced Berry connection (FBC) plays a key role. We show that the PHE is…

介观与纳米尺度物理 · 物理学 2023-03-08 YuanDong Wang , Zhen-Gang Zhu , Gang Su

Berry curvature is ubiquitous in condensed matter physics and materials science. Its main consequence is the intrinsic anomalous Hall effect (AHE) in magnetic materials and plays a pivotal role in spintronic applications and quantum…

材料科学 · 物理学 2026-05-07 Satoshi Okamoto , Adriana Moreo , Naoto Nagaosa , Stuart S. P. Parkin

In condensed matter physics, the term "chiral anomaly" implies the violation of the separate number conservation laws of Weyl fermions of different chiralities in the presence of parallel electric and magnetic fields. One effect of chiral…

介观与纳米尺度物理 · 物理学 2024-03-12 S. Nandy , Gargee Sharma , A. Taraphder , Sumanta Tewari

Large intrinsic anomalous Hall effect (AHE) originating in the Berry curvature has attracted growing attention for potential applications. Recently proposed magnetic Weyl semimetal EuCd$_2$Sb$_{\mathrm{2}}$ provides an excellent platform…

Weyl semimetals are intriguing topological states of matter that support various anomalous magneto-transport phenomena. One such phenomenon is a negative longitudinal ($\mathbf{\nabla} T \parallel \mathbf{B}$) magneto-thermal resistivity,…

介观与纳米尺度物理 · 物理学 2019-09-18 S. Nandy , A. Taraphder , Sumanta Tewari

The intrinsic anomalous Hall effect (AHE) has been reported in numerous ferromagnetic (FM) Weyl semimetals. However, AHE in the antiferromagnetic (AFM) or paramagnetic (PM) state of Weyl semimetals has been rarely observed experimentally,…

The planar Hall effect (PHE), previously observed in Weyl and Dirac semimetals due to the chiral anomaly, emerges with a different origin in topological insulators (TIs), where in-plane magnetic fields induce resistivity anisotropy. In…

介观与纳米尺度物理 · 物理学 2025-04-16 Mohammad Shafiei , Milorad V. Milošević

We study the intrinsic and extrinsic Hall effects in disordered magnetic Weyl semimetals numerically. We show that in Weyl metals, where the Fermi energy deviates from the Weyl point, the Hall and longitudinal conductances exhibit a…

介观与纳米尺度物理 · 物理学 2021-12-16 Koji Kobayashi , Kentaro Nomura

We study the chiral magnetic effect (CME) in tilted multi-Weyl Semimetals (WSM) employing a two-band lattice model. We focus on the type-II phase of mWSMs, introduced by incorporating a Lorentz symmetry violating tilt term. We add to the…

强关联电子 · 物理学 2021-08-25 Anirudha Menon , Souvik Chattopadhay , Banasri Basu

We report the anomalous and topological Hall effect of the ferromagnetic Weyl semimetal Mn$_5$Ge$_3$. We observe a significant anisotropic anomalous Hall effect (AHE) due to nonzero Berry curvature in the momentum space, such that the…

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…

介观与纳米尺度物理 · 物理学 2021-01-19 Rui-Hao Li , Olle G. Heinonen , Anton A. Burkov , Steven S. -L. Zhang

The nodal points in a Weyl semimetal are generally considered as the causes of the chiral anomaly and the chiral magnetic effect (CME). Employing a linear-response analysis of a two-band lattice model, we show that the Weyl nodes and thus…

介观与纳米尺度物理 · 物理学 2015-11-10 Ming-Che Chang , Min-Fong Yang

We present a theory of the anomalous Hall effect (AHE) in a doped Weyl semimetal, or Weyl metal, including both intrinsic and extrinsic (impurity scattering) contributions. We demonstrate that a Weyl metal is distinguished from an ordinary…

介观与纳米尺度物理 · 物理学 2014-11-05 A. A. Burkov
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