title: Thickness dependence of the interfacial Dzyaloshinskii-Moriya interaction in inversion symmetry broken systems.
abstract: In magnetic multilayer systems, a large spin-orbit coupling at the interface between heavy metals and ferromagnets can lead to intriguing phenomena such as the perpendicular magnetic anisotropy, the spin Hall effect, the Rashba effect, and especially the interfacial Dzyaloshinskii-Moriya (IDM) interaction. This interfacial nature of the IDM interaction has been recently revisited because of its scientific and technological potential. Here we demonstrate an experimental technique to straightforwardly observe the IDM interaction, namely Brillouin light scattering. The non-reciprocal spin wave dispersions, systematically measured by Brillouin light scattering, allow not only the determination of the IDM energy densities beyond the regime of perpendicular magnetization but also the revelation of the inverse proportionality with the thickness of the magnetic layer, which is a clear signature of the interfacial nature. Altogether, our experimental and theoretical approaches involving double time Green's function methods open up possibilities for exploring magnetic hybrid structures for engineering the IDM interaction.
authors.affiliation: Department of Physics, Inha University, Incheon 402-751, Republic of Korea.
authors.forename: Jaehun
authors.initials: J
authors.lastname: Cho
authors.affiliation: Department of Physics, Inha University, Incheon 402-751, Republic of Korea.
authors.forename: Nam-Hui
authors.initials: NH
authors.lastname: Kim
authors.affiliation: Department of Physics, Inha University, Incheon 402-751, Republic of Korea.
authors.forename: Sukmock
authors.initials: S
authors.lastname: Lee
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: June-Seo
authors.initials: JS
authors.lastname: Kim
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Reinoud
authors.initials: R
authors.lastname: Lavrijsen
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Aurelie
authors.initials: A
authors.lastname: Solignac
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Yuxiang
authors.initials: Y
authors.lastname: Yin
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Dong-Soo
authors.initials: DS
authors.lastname: Han
authors.affiliation: 1] Department of Physics, Inha University, Incheon 402-751, Republic of Korea. [2] Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Niels J J
authors.initials: NJ
authors.lastname: van Hoof
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Henk J M
authors.initials: HJ
authors.lastname: Swagten
authors.affiliation: Department of Applied Physics, Center for NanoMaterials, Eindhoven University of Technology, PO Box 513, Eindhoven 5600 MB, The Netherlands.
authors.forename: Bert
authors.initials: B
authors.lastname: Koopmans
authors.affiliation: Department of Physics, Inha University, Incheon 402-751, Republic of Korea.
authors.forename: Chun-Yeol
authors.identifier: 0000000195498611
authors.initials: CY
authors.lastname: You