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The planar Hall effect (PHE) is the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields. Its hallmark is a characteristic $\pi$-periodic, i.e. even under a magnetic field reversal, angular…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Raffaele Battilomo , Niccoló Scopigno , Carmine Ortix

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…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 S. Nandy , Gargee Sharma , A. Taraphder , Sumanta Tewari

The third-order nonlinear Hall effect induced by Berry-connection polarizability tensor has been observed in Weyl semimetals T$_d$-MoTe$_2$ as well as T$_d$-TaIrTe$_4$. The experiments were performed on bulk samples, and the results were…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Miaomiao Wei , Longjun Xiang , Luyang Wang , Fuming Xu , Jian Wang

The recently discovered nonlinear Hall (NLH) effect arises either without external magnetic field (type-I) or with an in-plane magnetic field (type-II). In this work we propose a new type of geometrical nonlinear Hall effect with an…

Materials Science · Physics 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan

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

We predict a magnetic Weyl semimetal in the inverse Heusler Ti2MnAl, a compensated ferrimagnet with a vanishing net magnetic moment and a Curie temperature of over 650 K. Despite the vanishing net magnetic moment, we calculate a large…

The non-linear generalization of the Hall effect has recently gained much attention, with a rapidly growing list of non-centrosymmetric materials that display higher-order Hall responses under time-reversal invariant conditions. The…

Materials Science · Physics 2024-07-26 Nesta Benno Joseph , Arka Bandyopadhyay , Awadhesh Narayan

Under symmetry breaking, a three-dimensional nodal-line semimetal can turn into a topological insulator or Weyl semimetal, accompanied by the generation of momentum-space Berry curvature. We develop a theory that unifies their circular…

Materials Science · Physics 2018-01-31 Ying Liu , Shengyuan A. Yang , Fan Zhang

The nonlinear Hall effect (NLHE) can induce optical anisotropy by modifying a material's dielectric tensor, presenting opportunities for novel characterization and device applications. While the magneto-optical Kerr effect (MOKE) probes the…

Other Condensed Matter · Physics 2025-07-16 He-Lin Li , Zhen-Gang Zhu , Gang Su

Hall effect of topological quantum materials often reveals essential new physics and possesses potential for application. Magnetic Weyl semimetal is one especially interesting example that hosts an interplay between the spontaneous…

Mesoscale and Nanoscale Physics · Physics 2024-10-18 Xiao-Xiao Zhang , Naoto Nagaosa

We report on the observation of the linear anomalous Hall effect (AHE) in the nonmagnetic Weyl semimetal TaIrTe4. This is achieved by applying a direct current Idc and an alternating current Iac (Iac<<Idc) in TaIrTe4, where the former…

Mesoscale and Nanoscale Physics · Physics 2024-12-05 An-Qi Wang , Dong Li , Tong-Yang Zhao , Xing-Yu Liu , Jiantian Zhang , Xin Liao , Qing Yin , Zhen-Cun Pan , Peng Yu , Zhi-Min Liao

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…

Strongly Correlated Electrons · Physics 2020-09-23 Suvendu Ghosh , Debabrata Sinha , Snehasish Nandy , A. Taraphder

The nonlinear Hall effect (NLHE), which can produce a transverse voltage without any magnetic field, is a potential alternative for rectification or frequency doubling. However, the low temperature detection of NLHE limits its applications.…

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…

Mesoscale and Nanoscale Physics · Physics 2023-03-08 YuanDong Wang , Zhen-Gang Zhu , Gang Su

The recent discovery of magnetic Weyl semimetal Co3Sn2S2 opens up new avenues for research into the interactions between topological orders, magnetism, and electronic correlations. Motivated by the observations of large anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Abhirup Roy Karmakar , S. Nandy , A. Taraphder , G. P. Das

The Berry curvature dipole induced by symmetry breaking play a pivotal role in electronic transport properties and nonlinear responses, such as the nonlinear Hall effect and circular photogalvanic effect. The study of the Berry curvature…

Materials Science · Physics 2026-03-05 Wenzhe Zhou , Dehe Zhang , Guibo Zheng , Yinheng Li , Fangping Ouyang

The second-order nonlinear Hall effect illuminates a frequency-doubling transverse current emerging in quantum materials with broken inversion symmetry even when time-reversal symmetry is preserved. This nonlinear response originates from…

Mesoscale and Nanoscale Physics · Physics 2023-01-31 Jinrui Zhong , Junxi Duan , Shihao Zhang , Huimin Peng , Qi Feng , Yuqin Hu , Qinsheng Wang , Jinhai Mao , Jianpeng Liu , Yugui Yao

The anomalous Nernst effect is the thermoelectric counterpart of the anomalous Hall effect, which can emerge in magnetic materials or topological materials without magnetic field. Such effect is critical to both fundamental topological…

Materials Science · Physics 2025-07-22 Zipu Fan , Jinying Yang , Yuchun Chen , Ning Zhao , Xiao Zhuo , Chang Xu , Dehong Yang , Jun Zhou , Jinluo Cheng , Enke Liu , Dong Sun

Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. In this paper, we report the finding of novel nonzero Hall effect in topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Jun Ge , Da Ma , Yanzhao Liu , Huichao Wang , Yanan Li , Jiawei Luo , Tianchuang Luo , Ying Xing , Jiaqiang Yan , David Mandrus , Haiwen Liu , X. C. Xie , Jian Wang

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,…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 Snehasish Nandy , Chuanchang Zeng , Sumanta Tewari