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While the anomalous Hall effect can manifest even without an external magnetic field, time reversal symmetry is nonetheless still broken by the internal magnetization of the sample. Recently, it has been shown that certain materials without…

Numerous attempts have been made so far to explore the quantum anomalous Hall effect (QAHE), but the ultralow observed temperature strongly hinders its practical applications. Hence, it is of great interest to go beyond the existing…

介观与纳米尺度物理 · 物理学 2023-04-12 Fangyang Zhan , Junjie Zeng , Zhuo Chen , Xin Jin , Jing Fan , Tingyong Chen , Rui Wang

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…

Chiral fermionic quasiparticles emerge in certain quantum condensed matter systems such as Weyl semimetals, topological insulators, and spin-orbit coupled noncentrosymmetric metals. Here, a comprehensive theory of the chiral anomaly-induced…

介观与纳米尺度物理 · 物理学 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Due to the deep connection with the quantum geometry of electronic Bloch wavefunctions, the second-order nonlinear Hall effect (NLHE) has been an attractive topic since its proposal. However, studies on NLHE under a magnetic field have been…

介观与纳米尺度物理 · 物理学 2026-05-08 Jinrui Zhong , Huimin Peng , Yuqing Hu , Qi Feng , Qiuli Li , Shihao Zhang , Qinsheng Wang , Jinhai Mao , Junxi Duan , Yugui Yao

The nonlinear Hall effect (NLHE) has been detected in various of condensed matter systems. Unlike linear Hall effect, NLHE may exist in physical systems with broken inversion symmetry in the crystal. On the other hand, real space spin…

强关联电子 · 物理学 2024-10-15 Wen-Tao Hou , Jiadong Zang

This review presents recent breakthroughs in the realm of nonlinear Hall effects, emphasizing central theoretical foundations and recent experimental progress. We elucidate the quantum origin of the second-order Hall response, focusing on…

介观与纳米尺度物理 · 物理学 2024-05-21 Arka Bandyopadhyay , Nesta Benno Joseph , Awadhesh Narayan

Unconventional responses upon breaking discrete or crystal symmetries open avenues for exploring emergent physical systems and materials. By breaking inversion symmetry, a nonlinear Hall signal can be observed, even in the presence of…

介观与纳米尺度物理 · 物理学 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

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

In the ferromagnetic Weyl semimetal CeAlSi both space-inversion and time-reversal symmetries are broken. We use external pressure as an effective tuning parameter and relate three observations to the presence of a nontrivial topology in its…

Trigonal Cr$_5$Te$_8$, a self-intercalated van der Waals ferromagnet with an out-of-plane magnetic anisotropy, has long been known to crystallize in a centrosymmetric structure. However, optical second harmonic generation experiments,…

Non-trivial spin structures in itinerant magnets can give rise to topological Hall effect (THE) due to the interacting local magnetic moments and conductive electrons. While, in series of materials, THE has mostly been observed at low…

强关联电子 · 物理学 2021-03-16 Gaoshang Gong , Longmeng Xu , Yuming Bai , Yongqiang Wang , Songliu Yuan , Yong Liu , Zhaoming Tian

The half-quantized Hall phase represents a unique metallic or semi-metallic state of matter characterized by a fractional quantum Hall conductance, precisely half of an integer $\nu$ multiple of $e^{2}/h$. Here we demonstrate the existence…

介观与纳米尺度物理 · 物理学 2024-09-25 Bo Fu , Shun-Qing Shen

The quantum geometry of Bloch wavefunctions,encoded in the Berry curvature and quantum metric, is believed to be a decisive ingredient in stabilizing fractional quantum anomalous Hall (FQAH) effect(i.e., fractional Chern insulator, FCI, at…

Recently, giant planar Hall effect originating from chiral anomaly has been predicted in nonmagnetic Dirac/Weyl semimetals. ZrTe5 is considered to be an intriguing Dirac semimetal at the boundary of weak topological insulators and strong…

介观与纳米尺度物理 · 物理学 2018-10-03 Peng Li , Chenhui Zhang , Junwei Zhang , Yan Wen , Xi-xiang Zhang

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…

材料科学 · 物理学 2025-02-11 Jiaju Yang , Lujun Wei , Yanghui Li , Lina Chen , Wei Niu , Shuo Wang , Feng Li , Ping Liu , Shuang Zhou , Yong Pu

Nonlinear Hall effect (NHE) can originate from the quantum metric mechanism in antiferromagnetic topological materials with PT symmetry, which has been experimentally observed in MnBi2Te4. In this work, we propose that breaking PT symmetry…

介观与纳米尺度物理 · 物理学 2024-10-28 Ruobing Mei , Daniel Kaplan , Binghai Yan , Cui-Zu Chang , Chao-Xing Liu

The quantum Hall effect (QHE) is traditionally considered a purely two-dimensional (2D) phenomenon. Recently, a three-dimensional (3D) version of the QHE has been reported in the Dirac semimetal ZrTe5. It was proposed to arise from a…

The nonlinear thermoelectric effect is a key factor for realising unconventional thermoelectric phenomena, such as heat rectification and power generation using thermal fluctuations. Recent theoretical advances have indicated that chiral…

介观与纳米尺度物理 · 物理学 2025-03-17 Tetsuya Nomoto , Akiko Kikkawa , Kazuki Nakazawa , Terufumi Yamaguchi , Fumitaka Kagawa

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…

材料科学 · 物理学 2024-09-16 Junjie Yao , Yizhou Liu , Wenhui Duan