Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal

Abstract

Nonequilibrium quantum states can be controlled via the driving field in periodically driven systems. Such control, which is called Floquet engineering, has opened various phenomena, such as the light-induced anomalous Hall effect. There are expected to be some essential differences between the anomalous Hall and spin Hall effects of periodically driven systems because of the difference in time-reversal symmetry. However, these differences remain unclear due to the lack of Floquet engineering of the spin Hall effect. Here we show that when the helicity of circularly polarized light is changed in a periodically driven $t_{2g}$-orbital metal, the spin current generated by the spin Hall effect remains unchanged, whereas the charge current generated by the anomalous Hall effect is reversed. This difference is protected by the symmetry of a time reversal operation. Our results offer a way to distinguish the spin current and charge current via light and could be experimentally observed in pump-probe measurements of periodically driven Sr${}_2$RuO${}_4$.

9 pages, 4 figures

References in corpus (13)

• Direct electronic measurement of the spin Hall effect
• Photovoltaic Hall effect in graphene
• Observation of the Spin-Seebeck Effect in a Ferromagnetic Semiconductor
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Dissipative Floquet Topological Systems
• Giant Intrinsic Spin and Orbital Hall Effects in Sr2MO4 (M=Ru,Rh,Mo)
• Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
• Theory of time-resolved optical spectroscopy on correlated electron systems
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Orbital-cooperative spin fluctuation and orbital-dependent transport in ruthenates
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$

Cited by in corpus (5)

• Light-induced large and tunable valley-selective Hall effect in a centrosymmetric system
• Light-Induced Mirror Symmetry Breaking and Charge Transport
• Optically tunable spin Hall effect in periodically driven monolayer transition metal dichalcogenides
• Light-induced inverse spin Hall effect and field-induced circular photogalvanic effect in GaAs revealed by two-dimensional terahertz Fourier analysis
• Onsager Reciprocal Relations for Charge and Spin Transport in Periodically Driven Systems