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Unlike the linear Hall effect that requires broken time-reversal symmetry, the nonlinear Hall effect may occur in time-reversal symmetric systems as long as there exists a non-zero Berry curvature dipole in the absence of inversion…

Mesoscale and Nanoscale Physics · Physics 2025-04-17 Zi-Hao Dong , Hui Yang , Yi 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…

Materials Science · Physics 2021-10-14 Zhi-Fan Zhang , Zhen-Gang Zhu , Gang Su

We investigate the second-order anomalous Hall response in two-dimensional higher-wave symmetric magnets, including the recently discovered class of collinear magnets known as altermagnets, when subjected to a symmetry-breaking external…

Mesoscale and Nanoscale Physics · Physics 2025-11-17 Srimayi Korrapati , Snehasish Nandy , Sumanta Tewari

The magnon transport driven by thermal gradient in a perpendicularly magnetized honeycomb lattice is studied. The system with the nearest-neighbor pseudodipolar interaction and the next-nearest-neighbor Dzyaloshinskii-Moriya interaction…

Mesoscale and Nanoscale Physics · Physics 2018-05-09 X. S. Wang , X. R. Wang

We compute the second-harmonic response of two-dimensional topological Dirac semimetals subjected to an external in-plane magnetic field. The quantum kinetic equation for the Wigner distribution function is derived and then solved to…

Mesoscale and Nanoscale Physics · Physics 2026-04-24 Maxim Dzero , Maxim Khodas , Alex Levchenko , Vladyslav Kozii

We propose theoretically a new effect, i.e. nonlinear planar Nernst effect (NPNE), in nonmagnetic topological insulator (TI) Bi2Te3 in the presence of an in-plane magnetic field. We find that the Nernst current scales quadratically with…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 Xiao-Qin Yu , Zhen-Gang Zhu , Gang Su

Resolving the structure of energy bands in transport experiments is a major challenge in condensed matter physics and material science. Sometimes, however, traditional electrical conductance or resistance measurements only provide very…

Materials Science · Physics 2018-12-19 Jonathan Noky , Johannes Gooth , Claudia Felser , Yan Sun

Quantum geometry may enable the development of quantum phases ranging from superconductivity to correlated topological states. One powerful probe of quantum geometry is the nonlinear Hall response which detects Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Yuan Fang , Shouvik Sur , Yonglong Xie , Qimiao Si

The spin accumulation due to the spin current induced by the perpendicular temperature gradient (the spin Nernst effect) is studied in a two-dimensional electron system (2DES) with spin-orbit interaction by employing the Boltzmann equation.…

Mesoscale and Nanoscale Physics · Physics 2013-12-02 Hiroshi Akera , Hidekatsu Suzuura

We study the Hall conductivity of a two-dimensional electron gas under an inhomogeneous magnetic field $B(x)$. First, we prove using the quantum kinetic theory that an odd magnetic field can lead to a purely nonlinear Hall response. Second,…

Mesoscale and Nanoscale Physics · Physics 2021-10-28 Botsz Huang , Ali G. Moghaddam , Jorge I. Facio , Ching-Hao Chang

Application of strong dc electric field to an insulator leads to quantum tunneling of electrons from the valence band to the conduction band, which is a famous nonlinear response known as Landau-Zener tunneling. One of the growing interests…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Sota Kitamura , Naoto Nagaosa , Takahiro Morimoto

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…

Mesoscale and Nanoscale Physics · Physics 2022-03-17 Miaomiao Wei , Bin Wang , Yunjin Yu , Fuming Xu , Jian Wang

Nonlinear charge transport, such as nonreciprocal longitudinal resistance and nonlinear Hall effect, has attracted considerable interest in probing the symmetries and topological properties of new materials. Recent research has revealed…

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

We propose to realize the quantum nonlinear Hall effect and the inverse Faraday effect through the acoustic wave in a time-reversal invariant but inversion broken Dirac insulator. We focus on the acoustic frequency much lower than the Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 Ying Su , Alexander V. Balatsky , Shi-Zeng Lin

We study the Nernst effect and the spin Nernst effect, that a longitudinal thermal gradient induces a transverse voltage and a spin current. A mesoscopic four-terminal cross-bar device having the Rashba spin-orbit interaction (SOI) under a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Shu-guang Cheng , Yanxia Xing , Qing-feng Sun , X. C. Xie

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…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Debottam Mandal , Kamal Das , Amit Agarwal

The quantum Hall effect was originally observed in a two-dimensional electron gas forming Landau levels when exposed to a strong perpendicular magnetic field and was later generalized to Chern insulators without net magnetization. Here,…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Benjamin Michen , Jan Carl Budich

We propose a method for broadband long-wavelength photodetection using the nonlinear Hall effect in non-centrosymmetric quantum materials. The inherently quadratic relation between transverse current and input voltage at zero magnetic field…

Materials Science · Physics 2021-07-07 Yang Zhang , Liang Fu

The band geometric properties of quantum materials play an elemental role in the linear and nonlinear transport of electrons. In this paper, we propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Shibalik Lahiri , Tanmay Bhore , Kamal Das , Amit Agarwal
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