Light-induced charge and spin Hall currents in materials with $C_{4}K$ symmetry

Abstract

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 second-order Hall conductivity emerges from a Berry curvature dipole. Recently, it has been shown that a Berry curvature quadrupole induces a third-order ac Hall response in systems that break time reversal ($K$) and a fourfold rotational ($C_4$) symmetry, while remaining invariant under the combination of the two ($C_{4}K$). In this letter, we demonstrate that incident light can induce a $\mathrm{dc}$ Hall current in such systems, driven by the Berry curvature quadrupole. We consider a combination of a static $\mathrm{dc}$ electric field and an ac light-induced electric field. We calculate the current perpendicular to both the static electric field and the fourfold axis. Remarkably, the induced current is generically spin-polarized. A net charge current appears for light that is linearly or elliptically polarized, but not for circular polarization. In contrast, the spin current remains unchanged when the polarization of light is varied. This allows for rich possibilities such as generating a spin current by shining circularly polarized light on an altermagnetic material. We demonstrate this physics using a two-dimensional toy model for altermagnets.

arXiv commentappear

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Cited by in corpus (12)

• Elasto-Hall conductivity and the anomalous Hall effect in altermagnets
• Dynamical Generation of Higher-order Spin-Orbit Couplings, Topology and Persistent Spin Texture in Light-Irradiated Altermagnets
• Floquet engineering spin triplet states in unconventional magnets
• Fingerprint of Non-Hermiticity in d-wave Altermagnet
• Spin relaxation and transport behaviors in altermagnetic systems
• Thermodynamic formulation of the spin magnetic octupole moment in bulk crystals
• Activation of anomalous Hall effect and orbital magnetization by domain walls in altermagnets
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Orientation dependent anomalous Hall and spin Hall currents at junctions of altermagnets with $p$-wave magnets
• Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene
• Electric field controlled second-order anomalous Hall effect in altermagnets
• Time reversal reserved spin valve and spin transistor based on unconventional $p$-wave magnets