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Studies of the 3D quantum Hall effect (QHE) have primarily emphasized transport features that mimic the well-established 2D QHE. In this work, we show that qualitatively new features arise when an in-plane magnetic field is applied to a 3D…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Ming Lu , Xiao-Xiao Zhang

The intrinsic anomalous Hall effect (IAHE) provides a powerful transport fingerprint of quantum magnets, with its linear and second-order responses distinguishing ferromagnets and $\mathcal{P}\mathcal{T}$-symmetric antiferromagnets,…

Materials Science · Physics 2026-04-30 Longjun Xiang , Hao Jin , Jian Wang

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

Quantum Hall effect (QHE) is a macroscopic manifestation of quantized states which only occurs in confined two-dimensional electron gas (2DEG) systems. Experimentally, QHE is hosted in high mobility 2DEG with large external magnetic field…

Materials Science · Physics 2018-10-17 Gang Qiu , Yixiu Wang , Yifan Nie , Yongping Zheng , Kyeongjae Cho , Wenzhuo Wu , Peide D. Ye

Quantum anomalous Hall effect (QAHE) is a fundamental transport phenomenon in the field of condensed-matter physics. Without external magnetic field, spontaneous magnetization combined with spin-orbit coupling give rise to a quantized Hall…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 Z. F. Wang , Zheng Liu , Feng Liu

Despite the recent success of identifying experimental signatures of the orbital Hall effect (OHE), the research on the microscopic mechanisms behind this unique phenomenon is still in its infancy. Here, using a gapped 2D Dirac material as…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Alessandro Veneri , Tatiana G. Rappoport , Aires Ferreira

We investigate the quantum anomalous Hall Effect (QAHE) and related chiral transport in the millimeter-size (Cr0.12Bi0.26Sb0.62)2Te3 films. With high sample quality and robust magnetism at low temperatures, the quantized Hall conductance of…

Optoelectronic and nonlinear transport experiments probe the quantum geometric tensor of Bloch states, whose real and imaginary components -- the quantum metric and the Berry curvature -- are typically constrained by symmetry. Here, we show…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Maria Teresa Mercaldo , Mario Cuoco , Carmine Ortix

We consider the problem of magnetic charges in $(2+1)$ dimensions for a torus geometry in real-space, subjected to an inverted Lorentz force due to an external electric field applied normal to the surface of the torus. We compute the Hall…

Strongly Correlated Electrons · Physics 2024-04-10 Ashley M. Cook

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

Using multiple scattering theory, we show that the generally accepted expression of transverse resistivity in magnetic systems that host skyrmions, given by the linear superposition of the ordinary (OHE), the anomalous (AHE) and the…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Juba Bouaziz , Hiroshi Ishida , Samir Lounis , Stefan Blügel

Exploring new Hall effect is always a fascinating research topic. The ordinary Hall effect and the quantum Hall effect, initially discovered in two-dimensional (2D) non-magnetic systems, are the phenomena that a transverse current is…

Mesoscale and Nanoscale Physics · Physics 2024-05-27 Chaoxi Cui , Run-Wu Zhang , Yilin Han , Zhi-Ming Yu , Yugui Yao

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…

The quantum Hall effect (QHE), which was observed in 2D electron gas under an external magnetic field, stands out as one of the most remarkable transport phenomena in condensed matter. However, a long standing puzzle remains regarding the…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Humian Zhou , Chui-Zhen Chen , Qing-Feng Sun , X. C. Xie

Quantum anomalous Hall effect (QAHE) is a fundamental quantum transport phenomenon in condensed matter physics. Until now, the only experimental realization of the QAHE has been observed for Cr/V-doped (Bi,Sb)$_2$Te$_3$ but at extremely low…

Mesoscale and Nanoscale Physics · Physics 2018-06-08 Xinzhou Deng , Hualing Yang , Shifei Qi , Xiaohong Xu , Zhenhua Qiao

The anomalous Hall effect (AHE), conventionally associated with time-reversal symmetry breaking in ferromagnetic materials, has recently been observed in nonmagnetic topological materials, raising questions about its origin. We unravel the…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Huimin Xie , Bo Fu , Huan-Wen Wang , Wenyu Shan , Shun-Qing Shen

We present a systematical experimental investigation of an unusual transport phenomenon observed in two dimensional electron gases in Si/SiGe heterostructures under integer quantum Hall effect (IQHE) conditions. This phenomenon emerges…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 J. Sailer , A. Wild , V. Lang , A. Siddiki , D. Bougeard

In recent years, the spin Hall effect has received great attention because of its potential application in spintronics and quantum information processing and storage. However, this effect is usually studied under the external homogeneous…

Mesoscale and Nanoscale Physics · Physics 2022-08-02 Anwei Zhang , Jun-Won Rhim

Coherent quantum phenomena can only emerge when decoherence is minimized, and mastery over decoherence is technologically crucial for designing and operating functional quantum devices. However, its microscopic mechanisms in…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Xian-Peng Zhang , Yan-Qing Feng , Haiwen Liu , Wanxiang Feng , Yugui Yao

Recent experiments have reported a lot of spectacular transport properties in topological materials, such as quantum oscillations and three-dimensional (3D) quantum Hall effect (QHE) in ZrTe$_5$. In this paper, by using a strong topological…

Mesoscale and Nanoscale Physics · Physics 2023-03-13 Yi-Xiang Wang , Zhigang Cai
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