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k-asymmetric spin-splitting at the interface between transition metal ferromagnets and heavy metals.



Sergiy Grytsyuk, Abderrezak Belabbes, Paul M. Haney, Hyun-Woo Lee, Kyung Jin Lee, Mark D. Stiles, Udo Schwingenschlogl, Aurelien Manchon


We systematically investigate the spin-orbit coupling-induced band splitting originating from inversion symmetry breaking at the interface between a Co monolayer and 4d (Tc, Ru, Rh, Pd, and Ag) or 5d (Re, Os, Ir, Pt, and Au) transition metals. In spite of the complex band structure of these systems, the odd-in-k spin splitting of the bands displays striking similarities with the much simpler Rashba spin-orbit coupling picture. While we do not find salient correlations between the interfacial magnetic anisotropy and the odd-in-k spin-splitting of the bands, we establish a clear connection between the overall strength of the band splitting and the charge transfer between the d-orbitals at the interface. Furthermore, we show that the spin splitting of the Fermi surface scales with the induced orbital moment, weighted by the spin-orbit coupling.
Physical Review B


Spin0orbit coupling, ferromagnetic bilayers, spin Hall effect, Rashba interaction, magnetization dynamics, electronic structure.


Grytsyuk, S. , Belabbes, A. , Haney, P. , Lee, H. , Lee, K. , Stiles, M. , Schwingenschlogl, U. and Manchon, A. (2016), k-asymmetric spin-splitting at the interface between transition metal ferromagnets and heavy metals., Physical Review B, [online],, (Accessed July 17, 2024)


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Created May 22, 2016, Updated October 12, 2021