Controlling spin Hall effect by using a band anticrossing and nonmagnetic impurity scattering

Abstract

The spin Hall effect (SHE) is one of the promising phenomena to utilize a spin current as spintronics devices, and the theoretical understanding of its microscopic mechanism is essential to know how to control its response. Although the SHE in multiorbital systems without inversion symmetry (IS) is expected to show several characteristic properties due to the cooperative roles of orbital degrees of freedom and a lack of IS, a theoretical understanding of the cooperative roles has been lacking. To clarify the cooperative roles, we study the spin Hall conductivity (SHC) derived by the linear-response theory for a $t_{2g}$-orbital tight-binding model of the $[001]$ surface or interface of Sr${}_2$RuO${}_4$ in the presence of dilute nonmagnetic impurities. We find that the band anticrossing, arising from a combination of orbital degrees of freedom and a lack of IS, causes an increase of magnitude and a sign change of the SHC at some nonmagnetic impurity concentrations. Since a similar mechanism for controlling the magnitude and sign of the response of Hall effects works in other multiorbital systems without IS, our mechanism provides an ubiquitous method to control the magnitude and sign of the response of Hall effects in some multiorbital systems by introducing IS breaking and tuning of the nonmagnetic impurity concentration.

5 pages, 4 figures for the main text, and 11 pages, 5 figures for the Supplemental Material

References in corpus (6)

• Dissipationless Quantum Spin Current at Room Temperature
• Study of Intrinsic Spin Hall Effect and Orbital Hall Effect in 4d- and 5d- Transition Metals
• Quasiparticle dynamics and spin-orbital texture of the SrTiO3 two-dimensional electron gas
• Giant Intrinsic Spin and Orbital Hall Effects in Sr2MO4 (M=Ru,Rh,Mo)
• Intrinsic anomalous Hall effect in ferromagnetic metals studied by the multi d-orbital tight-binding model
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• Microscopic theory of Dzyaloshinsky-Moriya interaction in pyrochlore oxides with spin-orbit coupling
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Symmetry-protected difference between spin Hall and anomalous Hall effects of a periodically driven multiorbital metal
• Dzyaloshinskii-Moriya Interaction between Multipolar Moments in $5d^1$ Systems
• Optically tunable spin Hall effect in periodically driven monolayer transition metal dichalcogenides
• Onsager Reciprocal Relations for Charge and Spin Transport in Periodically Driven Systems
• Electrical Conductivity in Quantum Materials