The Berry curvature dipole in Weyl semimetal materials: an ab initio study

Abstract

Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing these nonlinear effects because they carry a large Berry curvature concentrated in small regions, i.e., near the Weyl points. We have implemented the semiclassical Berry curvature dipole formalism into an $abinitio$ scheme and investigated the second-order nonlinear response for two representative groups of materials: the TaAs-family type-I WSMs and MoTe${}_2$-family type-II WSMs. Both types of WSMs exhibited a Berry curvature dipole, in which type-II Weyl points are usually superior to the type-I because of the strong tilt. Corresponding nonlinear susceptibilities in several materials promise a nonlinear Hall effect in the $dc$ field limit, which is within the experimentally detectable range.

6 pages, 4 figures and 1 table

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• Topological Nonlinear Anomalous Nersnt Effect in Strained Transition Metal Dichalcogenides
• Ab initio approach to the elastic, electronic, and optical properties of MoTe2: A topological Weyl semimetal
• Resonant photovoltaic effect in doped magnetic semiconductors
• Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
• Electrical Detection of Ferroelectric-like Metals through Nonlinear Hall Effect
• Semiclassical theory of the circular photogalvanic effect in gyrotropic systems
• Theory of Nonlinear Response for Charge and Spin Currents
• Two-dimensional Topological Semimetals Protected by Symmorphic Symmetries
• Ferroelectricity-driven phonon Berry curvature and non-linear phonon Hall transports
• Vertical transverse transport induced by hidden in-plane Berry curvature in two dimensions
• Resonant Nonlinear Hall Effect in Two-Dimensional Electron Systems
• Calculation of Berry curvature using nonorthogonal atomic orbitals