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Related papers: Non-Linear Hall Effect in Multi-Weyl Semimetals

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It is well known that a nontrivial Chern number results in quantized Hall conductance. What is less known is that, generically, the Hall response can be dramatically different from its quantized value in materials with broken inversion…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Fang Qin , Rui Chen , Ching Hua Lee

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

Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Timothy M. McCormick , Robert C. McKay , Nandini Trivedi

We generalize a semiclassical theory and use the argument of angular momentum conservation to examine the ballistic transport in lightly-doped Weyl semimetals, taking into account various phase-space Berry curvatures. We predict universal…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Shengyuan A. Yang , Hui Pan , Fan Zhang

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

Berry curvature, a momentum space property, can manifest itself in current responses. The well-known anomalous Hall effect in time-reversal-breaking systems arises from a Berry curvature monopole. In time-reversal-invariant materials, a…

Mesoscale and Nanoscale Physics · Physics 2025-03-26 Tohid Farajollahpour , R. Ganesh , Kirill Samokhin

The nonlinear Hall effect has recently attracted significant interest due to its potential as a promising spectral tool and device applications. A theory of the nonlinear Hall effect on a disordered lattice is a crucial step towards…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Rui Chen , Z. Z. Du , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

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

A large Berry curvature in the vicinity of the Fermi energy is required in order to obtain a large anomalous Hall and Nernst effect. This Berry curvature can be induced by Weyl points and gapped nodal lines. One of the possible mechanisms…

Materials Science · Physics 2019-04-17 Jonathan Noky , Claudia Felser , Yan Sun

The anomalous Nernst effect is the thermoelectric counterpart of the anomalous Hall effect, which can emerge in magnetic materials or topological materials without magnetic field. Such effect is critical to both fundamental topological…

Materials Science · Physics 2025-07-22 Zipu Fan , Jinying Yang , Yuchun Chen , Ning Zhao , Xiao Zhuo , Chang Xu , Dehong Yang , Jun Zhou , Jinluo Cheng , Enke Liu , Dong Sun

While the time-reversal-even (T-even) nonlinear Hall effect has been extensively discussed in nonmagnetic materials, the impact of magnetic phase transition on it remains largely overlooked. Here, we report an abrupt enhancement of the…

The geometry and topology of quantum systems have deep connections to quantum dynamics. In this paper, I show how to measure the non-Abelian Berry curvature and its related topological invariant, the second Chern number, using dynamical…

Quantum Gases · Physics 2016-07-06 Michael Kolodrubetz

Nonlinear optical responses are a crucial probe of physical systems including periodic solids. In the absence of electron-electron interactions, they are calculable with standard perturbation theory starting from the band structure of Bloch…

Strongly Correlated Electrons · Physics 2019-01-16 Daniel E. Parker , Takahiro Morimoto , Joseph Orenstein , Joel E. Moore

In condensed matter physics, the term "chiral anomaly" implies the violation of the separate number conservation laws of Weyl fermions of different chiralities in the presence of parallel electric and magnetic fields. One effect of chiral…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 S. Nandy , Gargee Sharma , A. Taraphder , Sumanta Tewari

Berry curvature fundamentally dictates the topological ground state, anomalous transport and optical properties of quantum materials. However, directly mapping its momentum-space distribution in real materials remains an outstanding…

Strongly Correlated Electrons · Physics 2026-03-19 Louis Primeau , Qiong Ma , Yang Zhang

Using Hall photovoltage measurements, we demonstrate that an anomalous Hall-voltage can be induced in few layer WTe2 under circularly polarized light illumination. By applying a bias voltage along different crystal axes, we find that the…

Antiferromagnetic (AFM) spintronics exploits the N\'eel vector as a state variable for novel spintronic devices. Recent studies have shown that the field-like and antidamping spin-orbit torques (SOT) can be used to switch the N\'eel vector…

Materials Science · Physics 2020-02-18 Ding-Fu Shao , Shu-Hui Zhang , Gautam Gurung , Wen Yang , Evgeny Y. Tsymbal

The magnetic structure, magnetoresistance, and Hall effect of non-centrosymmetric magnetic semimetal NdAlGe are investigated revealing an unusual magnetic state and anomalous transport properties that are associated with the electronic…

Recent experiments have measured local uniaxial strain fields in twisted bilayer graphene (TBG). Our calculations found that the finite Berry curvature generated by breaking the sublattice symmetry and the band proximity between narrow…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Pierre A. Pantaleón , Tony Low , Francisco Guinea

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix