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Since Edwin Halls groundbreaking discovery of the Hall effect in 1879, magnetism, spin, and quantization have been expanding the scope of Hall effects, continuously driving transformative progress in science and technology. Among them, the…

The recently discovered nonlinear Hall effect (NHE) in a few non-interacting systems provides a novel mechanism to generate second harmonic electrical Hall signals under time-reversal-symmetric conditions. Here, we introduce a new approach…

Mesoscale and Nanoscale Physics · Physics 2022-10-25 Meizhen Huang , Zefei Wu , Jinxin Hu , Xiangbin Cai , En Li , Liheng An , Xuemeng Feng , Ziqing Ye , Nian Lin , Kam Tuen Law , Ning 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

Nonlinear Hall effect (NLHE), as a new member of Hall effect family, has been realized in many materials, attracting a great deal of attention. Here, we report the observation of NLHE in magnetic topological insulator Sb-doped MnBi4Te7…

Materials Science · Physics 2024-04-11 Shaoyu Wang , Xiubing Li , Heng Zhang , Bo Chen , Hangkai Xie , Congcong Li , Fucong Fei , Shuai Zhang , Fengqi Song

We probe quantum Hall effect in a tunable 1-D lateral superlattice (SL) in graphene created using electrostatic gates. Lack of equilibration is observed along edge states formed by electrostatic gates inside the superlattice. We create…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Sudipta Dubey , Mandar M. Deshmukh

Recent studies have shown that moir\'{e} flat bands in a twisted bilayer graphene(TBG) can acquire nontrivial Berry curvatures when aligned with hexagonal boron nitride substrate [1, 2], which can be manifested as a correlated Chern…

Mesoscale and Nanoscale Physics · Physics 2023-12-15 Cheng-Ping Zhang , Jiewen Xiao , Benjamin T. Zhou , Jin-Xin Hu , Ying-Ming Xie , Binghai Yan , K. T. Law

The valley Hall effect (VHE) holds great promise for valleytronic applications by leveraging the valley degree of freedom. To date, research on VHE has focused on its linear response to an applied current, leaving nonlinear valley responses…

Mesoscale and Nanoscale Physics · Physics 2025-03-06 Pan He , Min Zhang , Jin Cao , Jingru Li , Hao Liu , Jinfeng Zhai , Ruibo Wang , Cong Xiao , Shengyuan A. Yang , Jian Shen

The nonlinear Hall effect (NLHE), as an important probe to reveal the symmetry breaking in topological properties of materials, opens up a new dimension for exploring the energy band structure and electron transport mechanism of quantum…

Materials Science · Physics 2025-02-11 Jiaju Yang , Lujun Wei , Yanghui Li , Lina Chen , Wei Niu , Shuo Wang , Feng Li , Ping Liu , Shuang Zhou , Yong Pu

In the second-order response regime, the Hall voltage can be nonzero without breaking the time-reversal symmetry, as long as the system is noncentrosymmetric. There are multiple mechanisms with different scaling rules that contribute to the…

Mesoscale and Nanoscale Physics · Physics 2022-04-22 Junxi Duan , Yu Jian , Yang Gao , Huimin Peng , Jinrui Zhong , Qi Feng , Yugui Yao

The nonlinear Hall effect (NLHE) is a phenomenon which could produce a transverse Hall voltage in a time-reversal-invariant material. Here, we report the real space characterization of NLHE evaluated through quantum transport in TaIrTe4…

Mesoscale and Nanoscale Physics · Physics 2024-02-29 Sheng Luo , Chuang-Han Hsu , Guoqing Chang , Arun Bansil , Hsin Lin , Gengchiau Liang

The nonlinear Hall effect (NLHE), an emergent phenomenon in noncentrosymmetric systems, enables the generation of a transverse voltage without an external magnetic field through a second-order electrical response. However, achieving a…

Nonlinear Hall effect (NLHE) holds immense significance in recognizing the band geometry and its potential applications in current rectification. Recent discoveries have expanded the study from second-order to third-order nonlinear Hall…

Skew scattering is the well-known dominant mechanism for anomalous Hall transport in highly conductive systems. However, despite extensive research, the primary mechanism governing nonlinear (nonreciprocal) magneto-transport in clean…

Mesoscale and Nanoscale Physics · Physics 2025-05-14 Cong Xiao , Yue-Xin Huang , Shengyuan A. Yang

The electrical Hall effect is the production of a transverse voltage under an out-of-plane magnetic field. Historically, studies of the Hall effect have led to major breakthroughs including the discoveries of Berry curvature and the…

We study the nonlinear Hall effect in superconductors without magnetic fields induced by a quantum geometric phase (i.e., the Aharonov-Bohm phase) carried by single or pair particles. We find that the second-order nonlinear Hall…

Superconductivity · Physics 2025-03-20 Kazuaki Takasan , Naoto Tsuji

The ability to control and manipulate time-reversal ($T$) symmetry-breaking phases with near-zero net magnetization is a sought-after goal in spintronic devices. The recently discovered hexagonal altermagnet manganese telluride…

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

Nonlinear Hall effect (NLHE) is a new type of Hall effect with wide application prospects. Practical device applications require strong NLHE at room temperature (RT). However, previously reported NLHEs are all low-temperature phenomena…

The discovery of an anomalous Hall effect (AHE) sensitive to the magnetic state of antiferromagnets can trigger a new era of spintronics, if materials that host a tunable and strong AHE are identified. Altermagnets are a new class of…

Anomalous Hall effect (AHE) is the key transport signature unlocking topological properties of magnetic materials. While AHE is usually proportional to the magnetization, the nonlinearity suggests the existence of complex magnetic and…

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