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The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

介观与纳米尺度物理 · 物理学 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate…

介观与纳米尺度物理 · 物理学 2023-08-22 Saswata Roy , Awadhesh Narayan

Nonlinear transport phenomena offer an exciting probe into the band geometry and symmetry properties of a system. While most studies on nonlinear transport have looked at second-order nonreciprocal responses in noncentrosymmetric systems,…

介观与纳米尺度物理 · 物理学 2024-06-04 Debottam Mandal , Sanjay Sarkar , Kamal Das , Amit Agarwal

The topology between Bloch states in reciprocal space has attracted tremendous attention in recent years. The quantum geometry of the band structure is composed of quantum metric as real part and berry curvature as imaginary part. While the…

材料科学 · 物理学 2023-12-12 Junjian Mi , Jialin Li , Miaocong Li , Sheng Xu , Shuang Yu , Zheng Li , Xinyi Fan , Huanfeng Zhu , Qian Tao , Linjun Li , Zhuan Xu

The recent discovery of the quantum nonlinear Hall effect has revived the field of nonlinear transport. Here, we predict magnetic field-induced nonlinear Hall effect in time-reversal symmetric Weyl semimetal. We show that the interplay of…

介观与纳米尺度物理 · 物理学 2022-12-13 Debottam Mandal , Kamal Das , Amit Agarwal

One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and the Berry curvature dipole are connected to the…

介观与纳米尺度物理 · 物理学 2022-01-26 Huiying Liu , Jianzhou Zhao , Yue-Xin Huang , Xiaolong Feng , Cong Xiao , Weikang Wu , Shen Lai , Wei-bo Gao , Shengyuan A. Yang

We numerically investigate the second-order nonlinear Hall transport properties of a four-terminal system with time-reversal symmetry and broken inversion symmetry. Within the nonequilibrium Green's function formalism, the second-order…

介观与纳米尺度物理 · 物理学 2022-03-17 Miaomiao Wei , Bin Wang , Yunjin Yu , Fuming Xu , Jian Wang

It is well-known that a non-vanishing Hall conductivity requires time-reversal symmetry breaking. However, in this work, we demonstrate that a Hall-like transverse current can occur in second-order response to an external electric field in…

介观与纳米尺度物理 · 物理学 2015-12-22 Inti Sodemann , Liang Fu

The appearance of a Hall conductance necessarily requires breaking of time-reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. However, as a second response, Hall dissipationless…

介观与纳米尺度物理 · 物理学 2021-07-23 Carmine Ortix

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…

介观与纳米尺度物理 · 物理学 2022-12-21 Abhirup Roy Karmakar , S. Nandy , A. Taraphder , G. P. Das

Nontrivial topology in condensed matter systems enriches quantum states of matter, to go beyond either the classification into metals and insulators in terms of conventional band theory or that of symmetry broken phases by Landau's order…

Negative longitudinal magnetoresistance, in the presence of an external magnetic field parallel to the direction of an applied current, has recently been experimentally verified in Weyl semimetals and topological insulators in the bulk…

介观与纳米尺度物理 · 物理学 2018-10-10 S. Nandy , A. Taraphder , Sumanta Tewari

The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking…

介观与纳米尺度物理 · 物理学 2023-07-03 Young-Gwan Choi , Manh-Ha Doan , Youngkuk Kim , Gyung-Min Choi

The third-order nonlinear Hall effect (NLHE) serves as a sensitive probe of energy band geometric property, providing a new paradigm for revealing the Berry curvature distribution and topological response of quantum materials. In the Weyl…

介观与纳米尺度物理 · 物理学 2025-06-16 Jiaju Yang , Lujun Wei , Yanghui Li , Lina Chen , Wei Niu , Jiarui Chen , Jun Du , Yong Pu

Topological effects arising from the Berry curvature lead to intriguing transport signatures in quantum materials. Two such phenomena are the chiral anomaly and nonlinear Hall effect (NLHE). A unified description of these transport regimes…

材料科学 · 物理学 2026-03-25 Dhruv C. Desai , Lauren A. Tan , Jin-Jian Zhou , Shiyu Peng , Jinsoo Park , Marco Bernardi

It has recently been demonstrated that various topological states, including Dirac, Weyl, nodal-line, and triple-point semimetal phases, can emerge in antiferromagnetic (AFM) half-Heusler compounds. However, how to determine the AFM…

介观与纳米尺度物理 · 物理学 2021-05-03 Cheng Chen , Huaiqiang Wang , Zhilong Yang , Haijun Zhang

The nonlinear Hall effect, which is the second-order harmonic charge Hall effect from the Berry curvature dipole in momentum space, has received much attention recently. As the responses to higher harmonics of the driving ac electric field…

材料科学 · 物理学 2021-10-14 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

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…

介观与纳米尺度物理 · 物理学 2023-01-31 Jinrui Zhong , Junxi Duan , Shihao Zhang , Huimin Peng , Qi Feng , Yuqin Hu , Qinsheng Wang , Jinhai Mao , Jianpeng Liu , Yugui Yao

We propose a modified Boltzmann nonlinear electric-transport framework which differs from the nonlinear generalization of the linear Boltzmann formalism by a contribution that has no counterpart in linear response. This contribution follows…

介观与纳米尺度物理 · 物理学 2019-11-06 Cong Xiao , Z. Z. Du , Qian Niu

We review our recent works on the quantum transport, mainly in topological semimetals and also in topological insulators, organized according to the strength of the magnetic field. At weak magnetic fields, we explain the negative…

介观与纳米尺度物理 · 物理学 2019-05-07 Hai-Peng Sun , Hai-Zhou Lu
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