Collective spin waves on a nanowire array with step-modulated thickness

G. Gubbiotti, Mikhail Kostylev, S. Tacchi, M. Madami, G. Carlotti, J. Ding, A.O. Adeyeye, F. Zighem, A.A. Stashkevich, Eugene Ivanov, Sergey Samarin

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    It is shown experimentally that collective Bloch spin waves are able to propagate in a dense periodic array of nanowires with step-modulated thickness along the periodicity direction. The spin wave dispersion (frequency versus wave vector k) was measured using the Brillouin light scattering technique by sweeping the wave vector perpendicularly to the wire length. Remarkably, the mode measured at the lowest frequency exhibits an oscillating dispersion and its frequency is up-shifted with respect to the homogeneous-thickness wires of the same width. The modes located at higher frequencies have negligible dependencies on the wave number, i.e. are practically dispersionless. Complementary ferromagnetic resonance measurements enabled us to independently measure the whole set of modes at k = 0, showing a good agreement with the Brillouin light scattering data. These results have been successfully reproduced in a numerical simulation employing a two-dimensional Green's function description of the dynamic dipole field of the precessing magnetization. The theory also allowed visualizing the non-trivial distribution of dynamic magnetization across the wire cross-section and estimating the Brillouin light scattering cross-section. The analysis of these intensities suggests complicated magneto-optical coupling between the light and the dynamic magnetization in the arrays of nanowires with step-modulated thickness. This work can stimulate the design, tailoring, and characterization of three-dimensional magnonic crystals. © 2014 IOP Publishing Ltd.
    Original languageEnglish
    Pages (from-to)8pp
    JournalJournal of Physics D: Applied Physics
    Volume47
    Issue number10
    DOIs
    Publication statusPublished - 19 Feb 2014

    Fingerprint

    Brillouin scattering
    Spin waves
    Light scattering
    magnons
    Nanowires
    Magnetization
    nanowires
    light scattering
    wire
    Wire
    magnetization
    Ferromagnetic resonance
    optical coupling
    wave dispersion
    ferromagnetic resonance
    Green's function
    scattering cross sections
    periodic variations
    estimating
    Green's functions

    Cite this

    Gubbiotti, G. ; Kostylev, Mikhail ; Tacchi, S. ; Madami, M. ; Carlotti, G. ; Ding, J. ; Adeyeye, A.O. ; Zighem, F. ; Stashkevich, A.A. ; Ivanov, Eugene ; Samarin, Sergey. / Collective spin waves on a nanowire array with step-modulated thickness. In: Journal of Physics D: Applied Physics. 2014 ; Vol. 47, No. 10. pp. 8pp.
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    abstract = "It is shown experimentally that collective Bloch spin waves are able to propagate in a dense periodic array of nanowires with step-modulated thickness along the periodicity direction. The spin wave dispersion (frequency versus wave vector k) was measured using the Brillouin light scattering technique by sweeping the wave vector perpendicularly to the wire length. Remarkably, the mode measured at the lowest frequency exhibits an oscillating dispersion and its frequency is up-shifted with respect to the homogeneous-thickness wires of the same width. The modes located at higher frequencies have negligible dependencies on the wave number, i.e. are practically dispersionless. Complementary ferromagnetic resonance measurements enabled us to independently measure the whole set of modes at k = 0, showing a good agreement with the Brillouin light scattering data. These results have been successfully reproduced in a numerical simulation employing a two-dimensional Green's function description of the dynamic dipole field of the precessing magnetization. The theory also allowed visualizing the non-trivial distribution of dynamic magnetization across the wire cross-section and estimating the Brillouin light scattering cross-section. The analysis of these intensities suggests complicated magneto-optical coupling between the light and the dynamic magnetization in the arrays of nanowires with step-modulated thickness. This work can stimulate the design, tailoring, and characterization of three-dimensional magnonic crystals. {\circledC} 2014 IOP Publishing Ltd.",
    author = "G. Gubbiotti and Mikhail Kostylev and S. Tacchi and M. Madami and G. Carlotti and J. Ding and A.O. Adeyeye and F. Zighem and A.A. Stashkevich and Eugene Ivanov and Sergey Samarin",
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    Gubbiotti, G, Kostylev, M, Tacchi, S, Madami, M, Carlotti, G, Ding, J, Adeyeye, AO, Zighem, F, Stashkevich, AA, Ivanov, E & Samarin, S 2014, 'Collective spin waves on a nanowire array with step-modulated thickness' Journal of Physics D: Applied Physics, vol. 47, no. 10, pp. 8pp. https://doi.org/10.1088/0022-3727/47/10/105003

    Collective spin waves on a nanowire array with step-modulated thickness. / Gubbiotti, G.; Kostylev, Mikhail; Tacchi, S.; Madami, M.; Carlotti, G.; Ding, J.; Adeyeye, A.O.; Zighem, F.; Stashkevich, A.A.; Ivanov, Eugene; Samarin, Sergey.

    In: Journal of Physics D: Applied Physics, Vol. 47, No. 10, 19.02.2014, p. 8pp.

    Research output: Contribution to journalArticle

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    T1 - Collective spin waves on a nanowire array with step-modulated thickness

    AU - Gubbiotti, G.

    AU - Kostylev, Mikhail

    AU - Tacchi, S.

    AU - Madami, M.

    AU - Carlotti, G.

    AU - Ding, J.

    AU - Adeyeye, A.O.

    AU - Zighem, F.

    AU - Stashkevich, A.A.

    AU - Ivanov, Eugene

    AU - Samarin, Sergey

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    Y1 - 2014/2/19

    N2 - It is shown experimentally that collective Bloch spin waves are able to propagate in a dense periodic array of nanowires with step-modulated thickness along the periodicity direction. The spin wave dispersion (frequency versus wave vector k) was measured using the Brillouin light scattering technique by sweeping the wave vector perpendicularly to the wire length. Remarkably, the mode measured at the lowest frequency exhibits an oscillating dispersion and its frequency is up-shifted with respect to the homogeneous-thickness wires of the same width. The modes located at higher frequencies have negligible dependencies on the wave number, i.e. are practically dispersionless. Complementary ferromagnetic resonance measurements enabled us to independently measure the whole set of modes at k = 0, showing a good agreement with the Brillouin light scattering data. These results have been successfully reproduced in a numerical simulation employing a two-dimensional Green's function description of the dynamic dipole field of the precessing magnetization. The theory also allowed visualizing the non-trivial distribution of dynamic magnetization across the wire cross-section and estimating the Brillouin light scattering cross-section. The analysis of these intensities suggests complicated magneto-optical coupling between the light and the dynamic magnetization in the arrays of nanowires with step-modulated thickness. This work can stimulate the design, tailoring, and characterization of three-dimensional magnonic crystals. © 2014 IOP Publishing Ltd.

    AB - It is shown experimentally that collective Bloch spin waves are able to propagate in a dense periodic array of nanowires with step-modulated thickness along the periodicity direction. The spin wave dispersion (frequency versus wave vector k) was measured using the Brillouin light scattering technique by sweeping the wave vector perpendicularly to the wire length. Remarkably, the mode measured at the lowest frequency exhibits an oscillating dispersion and its frequency is up-shifted with respect to the homogeneous-thickness wires of the same width. The modes located at higher frequencies have negligible dependencies on the wave number, i.e. are practically dispersionless. Complementary ferromagnetic resonance measurements enabled us to independently measure the whole set of modes at k = 0, showing a good agreement with the Brillouin light scattering data. These results have been successfully reproduced in a numerical simulation employing a two-dimensional Green's function description of the dynamic dipole field of the precessing magnetization. The theory also allowed visualizing the non-trivial distribution of dynamic magnetization across the wire cross-section and estimating the Brillouin light scattering cross-section. The analysis of these intensities suggests complicated magneto-optical coupling between the light and the dynamic magnetization in the arrays of nanowires with step-modulated thickness. This work can stimulate the design, tailoring, and characterization of three-dimensional magnonic crystals. © 2014 IOP Publishing Ltd.

    U2 - 10.1088/0022-3727/47/10/105003

    DO - 10.1088/0022-3727/47/10/105003

    M3 - Article

    VL - 47

    SP - 8pp

    JO - Journal of Physics D-Applied Physics

    JF - Journal of Physics D-Applied Physics

    SN - 0022-3727

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