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Nonlinear Hall effects have been previously investigated in non-centrosymmetric systems for electronic systems. However, they only exist in metallic systems and are not compatible with ferroelectrics since these latter are insulators, hence…

Materials Science · Physics 2023-06-28 W. Luo , J. Y. Ji , P. Chen , Y. Xu , L. F. Zhang , H. J. Xiang , L. Bellaiche

We propose a non-dissipative transport effect and vortical response in Weyl semimetals in the presence of spatial inhomogeneities, namely a spatially varying tilt of the Weyl cones. We show that when the spectrum is anisotropic and tilted…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Saber Rostamzadeh , Sevval Tasdemir , Mustafa Sarisaman , S. A. Jafari , Mark-Oliver Goerbig

We investigate the intrinsic nonlinear valley Nernst effect, which induces a transverse valley current via a second-order thermoelectric response to a longitudinal temperature gradient. The effect arises from the Berry connection…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Xue-Jin Zhang , Jin Cao , Lulu Xiong , Hui Wang , Shen Lai , Cong Xiao , Shengyuan A. Yang

We experimentally investigate third-order nonlinear Hall effect for three-dimensional NiTe$_2$ single crystal samples. NiTe$_2$ is the recently discovered type-II Dirac semimetal, so both the inversion and the time-reversal symmetries are…

Mesoscale and Nanoscale Physics · Physics 2025-06-27 V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

The interplay between electronic interactions and strong spin-orbit coupling is expected to create a plethora of fascinating correlated topological states of quantum matter. Of particular interest are magnetic Weyl semimetals originally…

Berry curvature and skew-scattering play central roles in determining both the linear and nonlinear anomalous Hall effects. Yet in {\it PT}-symmetric antiferromagnetic metals, Hall effects from either intrinsic Berry curvature mediated…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Da Ma , Arpit Arora , Giovanni Vignale , Justin C. W. Song

We consider a Weyl semimetal (WSM) with finite doping and tilt within a continuum model Hamiltonian with both broken time reversal and inversion symmetry. We calculate the absorptive part of the anomalous AC Hall conductivity as a function…

Strongly Correlated Electrons · Physics 2018-03-21 S. P. Mukherjee , J. P. Carbotte

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…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Azaz Ahmad , Gautham Varma K. , Gargee Sharma

Detecting the orientation of the N\'eel vector is a major research topic in antiferromagnetic spintronics. Here we recognize the intrinsic nonlinear Hall effect, which is independent of the relaxation time, as a prominent contribution to…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Chong Wang , Yang Gao , Di Xiao

We experimentally investigate longitudinal and transverse second-harmonic voltage response to ac electrical current for a magnetic Weyl semimetal Co$_3$Sn$_2$S$_2$. In contrast to the previously observed Berry-curvature induced non-linear…

Mesoscale and Nanoscale Physics · Physics 2021-03-29 V. D. Esin , A. V. Timonina , N. N. Kolesnikov , E. V. Deviatov

The quantum geometric properties of topological materials underpin many exotic physical phenomena and applications. Quantum nonlinearity has emerged as a powerful probe for revealing these properties. The Berry curvature dipole in…

Mesoscale and Nanoscale Physics · Physics 2025-01-23 Xing-Yu Liu , An-Qi Wang , Dong Li , Tong-Yang Zhao , Xin Liao , Zhi-Min Liao

There have been lots of interest in pyrochlore Iridates A2Ir2O7 where both strong spin-orbital coupling and strong correlation are present. A recent LDA calculation suggests that the system is likely in a novel three dimensional topological…

Strongly Correlated Electrons · Physics 2011-09-20 Kai-Yu Yang , Yuan-Ming Lu , Ying Ran

Large intrinsic anomalous Hall effect (AHE) due to the Berry curvature in magnetic topological semimetals is attracting enormous interest due to its fundamental importance and technological relevance. Mechanisms resulting in large intrinsic…

We theoretically predict the existence of a non-zero magnetochiral anisotropy-induced nonlinear Hall effect or a second harmonic Hall voltage transverse to an applied current in spin-orbit coupled Rashba conductors in the presence of an…

Mesoscale and Nanoscale Physics · Physics 2023-09-25 D. C. Marinescu , Sumanta Tewari

We predict a so-called axial Hall effect, a Berry-curvature-driven anomalous Hall response, in Lieb-lattice altermagnets. By constructing a tight-binding model, we identify the axial direction as a hidden topological degree of freedom.…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Xilong Xu , Haonan Wang , Li Yang

The propagation of electromagnetic waves in an unmagnetized weakly inhomogeneous cold plasma is examined. We show that the inhomogeneity induces a gauge connection term in wave equation, which gives rise to Berry effects in the dynamics of…

Plasma Physics · Physics 2015-06-05 Reza Torabi , Mohammad Mehrafarin

As they do not rely on the presence of any crystal symmetry, Weyl nodes are robust topological features of an electronic structure that can occur at any momentum and energy. Acting as sinks and sources of Berry curvature, Weyl nodes have…

The experimental manifestation of topological effects in bulk materials under ambient conditions, especially those with practical applications, has attracted enormous research interest. Recent discovery of Weyl semimetal provides an ideal…

Materials Science · Physics 2019-03-25 Junchao Ma , Qiangqiang Gu , Yinan Liu , Jiawei Lai , Yu Peng , Xiao Zhuo , Zheng Liu , Jian-Hao Chen , Ji Feng , Dong Sun

We compute the non-Drude part of the conductivity tensor in planar Hall set-ups, for tilted Weyl and multi-Weyl semimetals, considering both the type-I and type-II phases. We do so in three distinct set-ups, taking into account the possible…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Ipsita Mandal