Non-Linear Hall Effect in Multi-Weyl Semimetals

Abstract

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 the Berry curvature induced second and third order Hall effect in multi-Weyl semimetals with topological charges $n=1,2,3$. We use low energy effective models to obtain general analytical expressions and discover the presence of a large Berry curvature dipole in multi-Weyl semimetals. We also study the Berry curvature dipole in a realistic tight-binding lattice model and observe two different kinds of variation with increasing topological charge -- these can be attributed to different underlying Berry curvature components. We provide estimates of the signatures of second harmonic of Hall signal in multi-Weyl semimetals, which can be detected experimentally. Furthermore, we predict the existence of a third order Hall signal in multi-Weyl semimetals. We derive the analytical expressions of Berry connection polarizability tensor, which is responsible for third order effects, using a low energy model and estimate the measurable conductivity. Our work can help guide experimental discovery of Berry curvature multipole physics in multi-Weyl semimetals.

Published version

References in corpus (17)

• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Band signatures for strong nonlinear Hall effect in bilayer WTe${}_2$
• Discovery of a new type of topological Weyl fermion semimetal state in Mo${}_x$W${}_{1-x}$Te${}_2$
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Quantum frequency doubling in the topological insulator Bi2Se3
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Magnetism and anomalous transport in the Weyl semimetal PrAlGe: Possible route to axial gauge fields
• Giant $c$-axis nonlinear anomalous Hall effect in T${}_d$-MoTe${}_2$ and WTe${}_2$
• Nonlinear spin current generation in noncentrosymmetric spin-orbit coupled systems
• Gyrotropic Hall effect in Berry-curved materials
• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Anomalous thermoelectric phenomena in lattice models of multi-Weyl semimetals
• Electrical Detection of Ferroelectric-like Metals through Nonlinear Hall Effect
• Dislocation defect as a bulk probe of monopole charge of multi-Weyl semimetals
• Josephson junctions of Weyl and multi-Weyl semimetals
• RKKY interaction of magnetic impurities in multi-Weyl semimetals
• Tunneling phase diagrams in anisotropic Multi-Weyl semimetals

Cited by in corpus (11)

• Role of topological charges in the nonlinear-optical response from Weyl semimetals
• Extrinsic and Intrinsic Nonlinear Hall Effects across Berry-Dipole Transitions
• Quantum third-order nonlinear Hall effect of a four-terminal device with time-reversal symmetry
• Photogalvanic response in multi-Weyl semimetals
• Nonlinear Hall effect in Rashba systems with hexagonal warping
• Intrinsic nonlinear Hall effect in two-dimensional honeycomb topological antiferromagnets
• Chirality-tunable non-linear Hall effect
• Quantum nonlinear ac transport theory at low frequency
• Geometric transport signatures of strained multi-Weyl semimetals
• Strong Field Optical Hall Effect in 2D Weyl Semimetal
• Nonlinear Hall Effects induced by Berry Curvature Dipole in CuPb${}_9$(PO${}_4$)${}_6$O