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The nonlinear Hall effect (NLHE) with time-reversal symmetry constitutes the appearance of a transverse voltage quadratic in the applied electric field. It is a second-order electronic transport phenomenon that induces frequency doubling…

We extract the quantum conductance fluctuations and study its magnetic field dependence in the gate-dependent transport of the topological electrons in bulk-insulating BiSbTeSe2 devices. While increasing the magnetic field from 0 to 12…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 Shuai Zhang , Faji Xie , Xing-Chen Pan , Yuyuan Qin , Lu Cao , Xuefeng Wang , Fengqi Song , Baigeng Wang

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

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…

Mesoscale and Nanoscale Physics · Physics 2023-08-22 Saswata Roy , Awadhesh Narayan

Nuclear magnetic resonance (NMR) was recently shown to measure the bulk band inversion of Bi$_2$Se$_3$ through changes in the $^{209}$Bi nuclear quadrupole interaction, and the corresponding tensor of the local electric field gradient was…

Materials Science · Physics 2021-02-24 R. Guehne , J. Haase , C. Shekhar , C. Felser

We investigate an interplay between quantum geometrical effects and surface plasmons through surface plasmonic structures, based on an electron hydrodynamic theory. First we demonstrate that the quantum nonlinear Hall effect can be…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Riki Toshio , Norio Kawakami

Nonlinear charge transport in solids has emerged as a powerful probe of the quantum geometric properties of Bloch electrons. While the Berry curvature underlies the intrinsic anomalous Hall effect, recent studies have suggested that the…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Ping Tang

We decompose the intrinsic second-order nonlinear Hall effect (NLHE) of a generic multiband system into its quantum-geometric contributions within a fully quantum-mechanical, projector-based formalism. By expanding the nonlinear…

Mesoscale and Nanoscale Physics · Physics 2026-05-08 Yannis Ulrich , Johannes Mitscherling , Laura Classen , Andreas P. Schnyder

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…

Mesoscale and Nanoscale Physics · Physics 2018-12-27 Z. Z. Du , C. M. Wang , Hai-Zhou Lu , X. C. Xie

Magnetic topological insulators, possessing both magnetic order and topological electronic structure, provides an excellent platform to research unusual physical properties. Here, we report a high-pressure study on the anomalous Hall effect…

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…

Mesoscale and Nanoscale Physics · Physics 2024-10-28 Ruobing Mei , Daniel Kaplan , Binghai Yan , Cui-Zu Chang , Chao-Xing Liu

Integrating ferroelectricity, antiferromagnetism, and topological quantum transport within a single material is rare, but crucial for developing next-generation quantum devices. Here, we propose a multiferroic heterostructure consisting of…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 M. U. Muzaffar , Kai-Zhi Bai , Wei Qin , Guohua Cao , Bo Fu , Ping Cui , Shun-Qing Shen , Zhenyu Zhang

The magnetic topological materials have attracted significant attention due to their potential realization of variety of novel quantum phenomena. EuIn$_2$As$_2$ has recently been theoretically recognized as a long awaited intrinsic…

Materials Science · Physics 2022-03-02 J. Yan , Z. Z. Jiang , R. C. Xiao , W. J. Lu , W. H. Song , X. B. Zhu , X. Luo , Y. P. Sun , M. Yamashita

In this letter, we propose a mechanism to control the magnetic properties of topological quantum material (TQM) by using magnetoelectric coupling: this mechanism uses a heterostructure of TQM with two-dimensional (2D) ferroelectric…

Materials Science · Physics 2023-05-05 Wei Luo , Mao-Hua Du , Fernando A. Reboredo , Mina Yoon

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

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

Combining magnetism and nontrivial band topology gives rise to quantum anomalous Hall (QAH) insulators and exotic quantum phases such as the QAH effect where current flows without dissipation along quantized edge states. Inducing magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Qile Li , Chi Xuan Trang , Weikang Wu , Jinwoong Hwang , Nikhil Medhekar , Sung-Kwan Mo , Shengyuan A. Yang , Mark T Edmonds

Meeting of non-trivial topology with magnetism results in novel phases of matter, such as Quantum Anomalous Hall (QAH) or axion insulator phases. Even more exotic states with high and tunable Chern numbers are expected at the contact of…

The classic Thouless-Kohmoto-Nightingale-Nijs theorem dictates that a single electron band of a lattice can only harbor an integer quantum Hall conductance as a multiple of e^2/2h, while recent studies have pointed to the emergence of half…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 M. U. Muzaffar , Kai-Zhi Bai , Wei Qin , Guohua Cao , Yutong Yang , Shunhong Zhang , Ping Cui , Shun-Qing Shen , Zhenyu Zhang

Valley-related multiple Hall effect in 2D lattice is a fundamental transport phenomenon in the fields of condensed-matter physics and material science. So far, most proposals for its realization are limited to toy models or extrinsic…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Rui Peng , Zhonglin He , Ying Dai , Baibiao Huang , Yandong Ma