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Determining Key Spin-Orbitronic Parameters via Propagating Spin Waves

O. Gladii, M. Collet, Y. Henry, J.-V. Kim, A. Anane, and M. Bailleul
Phys. Rev. Applied 13, 014016 – Published 10 January 2020

Abstract

We characterize spin-wave propagation and its modification by an electrical current in permalloy(Py)/Pt bilayers with Py thickness between 4 and 20 nm. First, we analyze the frequency nonreciprocity of surface spin waves and extract from it the interfacial Dzyaloshinskii-Moriya interaction constant Ds accounting for an additional contribution due to asymmetric surface anisotropies. Second, we measure the spin-wave relaxation rate and deduce from it the Py/Pt spin-mixing conductance geff↑↓. Last, applying a dc electrical current, we extract the spin Hall conductivity σSH from the change of spin-wave relaxation rate due to the spin Hall spin-transfer torque. We obtain a consistent picture of the spin-wave propagation data for different film thicknesses using a single set of parameters Ds=0.25 pJ/m, geff↑↓=3.2×1019m2 and σSH=4×105 S/m.

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  • Received 30 August 2019
  • Revised 5 November 2019

DOI:https://doi.org/10.1103/PhysRevApplied.13.014016

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

O. Gladii1,*, M. Collet2, Y. Henry1, J.-V. Kim3, A. Anane2, and M. Bailleul1

  • 1Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504 CNRS, Université de Strasbourg, 23 rue du Loess, BP 43, Strasbourg Cedex 2 67034, France
  • 2Unité Mixte de Physique CNRS, Thales, Univ. Paris-Sud, Université Paris-Saclay, Palaiseau 91767, France
  • 3Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, Palaiseau 91120, France

  • *o.gladii@hzdr.de

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Vol. 13, Iss. 1 — January 2020

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Images

  • Figure 1
    Figure 1

    Optical microscopy image of a spin-wave device consisting of a Py/Pt strip, a coplanar waveguide connected to a pair of spin-wave antenna and dc pads. The enlarged part shows a scanning electron microscopy image of the antennas, labeled as “A1” and “A2.” The spin waves excited by antenna “1” and “2” are represented by wave vectors k21 and k12, respectively.

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  • Figure 2
    Figure 2

    Imaginary part of the mutual-inductance spectra measured at μ0H=37 mT in Py(4)/Pt (a) and Py(20)/Pt (b) devices with D=1μm for spin waves with k<0 and k>0. (Inset) An enlargement of the difference between inductance signal ΔL12 and ΔL21 showing a negative δfNR in Py (20)/Pt film. (c) Frequency nonreciprocity measured in Py/Pt bilayers (black squares) for μ0H=37 mT. Dashed line and dashed-dotted line are the frequency nonreciprocity induced by IDMI and magnetic asymmetry, respectively, calculated for DS=0.25 pJ/m and ΔK=0.1mJ/m2. The sum of the two contributions is shown as a solid line.

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  • Figure 3
    Figure 3

    (a) Black lines are the imaginary part of the mutual-inductance measured in Py(4)/Pt films at μ0H=14.6 mT in devices with D=0.5, 0.8, and 1.1 μm. Green solid lines are the amplitude of ΔL21 and fper/2 is the half of a signal period. (Inset) Dependence of the logarithm of the maximum SW signal amplitude ln(A) on the propagation time τ. Solid line is a linear fit. (b) Relaxation rate (left scale)/damping (right scale) versus 1/μ0Mst (symbols). Solid line is a corresponding linear fit.

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  • Figure 4
    Figure 4

    (a) Mutual-inductance spectra measured at μ0H=5.8mT in a Py(4)/Pt device with D=0.5μm at zero current (black line), +15 mA (red dotted line), and 15 mA (blue dashed line). (b) Dependence of the spin-wave relaxation rate (left scale) and the effective damping (right scale) as a function of applied dc current. The solid line is a linear fit.

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  • Figure 5
    Figure 5

    (a) Measured current-induced change of the spin-wave relaxation rate (ΔΓ) per unit of electric field E versus Py thickness (symbols). (b) Dependence of the SHC on the Py thickness. In (a),(b) the lines are guides for the eyes.

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