Nonlinear regimes of spin wave propagation in a waveguide with a one-dimensional hole array

A. A. Martyshkin ; A. V. Sadovnikov

Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 32 (2024) no. 4, pp. 428-438.

Résumé

Purpose. Investigation of spin-wave signal passage in a system of magnetic microwaves separated from each other by a one-dimensional array of holes. Using numerical and experimental methods to show controlled spatial-frequency selection of the signal in linear and nonlinear modes of operation. Methods. Micromagnetic modeling of the spatial intensity distributions of spin waves. Obtaining S-parameters of spin waves propagating in a tangentially magnetized structure using a vector circuit analyzer. Results. The spatially selective properties of the structure in linear and nonlinear modes are demonstrated using micromagnetic modeling. A mechanism for controlling the frequency range of the Bragg zone is revealed using a vector analyzer. Conclusion. The proposed structure can be used as a functional element in planar topologies of magnon networks and parallel signal processing devices based on them.

Détail

Keywords: Spin waves, magnonics, spintronics, nonlinearity, Lateral waveguides, Magnonic crystal

Bibliographie

[1] Bloch F., “Zur Theorie des Ferromagnetismus”, Zeitschrift für Physik, 61 (1930), 206–219 | DOI

[2] Gurevich A. G., Melkov G. A., Magnitnye kolebaniya i volny, Fizmatlit, M., 1994, 464 pp.

[3] Khitun A., Bao M., Wang K.L., “Magnonic logic circuits”, Journal of Physics D: Applied Physics, 43:26 (2010), 264005 | DOI

[4] Au Y., Dvornik M., Dmytriiev O., Kruglyak V. V., “Nanoscale spin wave valve and phase shifter”, Applied Physics Letters, 100 (2012), 172408 | DOI

[5] Sadovnikov A. V., Beginin E. N., Sheshukova S. E., Romanenko D. V., Sharaevsky Y. P., Nikitov S. A., “Directional multimode coupler for planar magnonics: Side-coupled magnetic stripes”, Applied Physics Letters, 107 (2015), 202405 | DOI

[6] Wang Q., Kewenig M., Schneider M., Verba R., Kohl F., Heinz B., Geilen M., Mohseni M., Lägel B., Ciubotaru F., Adelmann C., Dubs C., Cotofana S. D., Dobrovolskiy O. V., Brächer T., Pirro P., Chumak A. V., “A magnonic directional coupler for integrated magnonic half-adders”, Nature Electronics, 3:12 (2020), 765–774 | DOI

[7] Csaba G., Papp Á., Porod W., “Perspectives of using spin waves for computing and signal processing”, Physics Letters A, 381 (2017), 1471–1476 | DOI

[8] Barman A., Gubbiotti G., Ladak S., Adeyeye A. O., Krawczyk M., Gräfe J., Adelmann C., Cotofana S., Naeemi A., Vasyuchka V. I., Hillebrands B., Nikitov S. A., Yu H., Grundler D., Sadovnikov A. V., Grachev A. A., Sheshukova S. E., Duquesne J.-Y., Marangolo M., Csaba G., Porod W., Demidov V. E., Urazhdin S., Demokritov S. O., Albisetti E., Petti D., Bertacco R., Schultheiss H., Kruglyak V. V., Poimanov V. D., Sahoo S., Sinha J., Yang H., Münzenberg M., Moriyama T., Mizukami S., Landeros P., Gallardo R. A., Carlotti G., Kim J.-V., Stamps R. L., Camley R.E., Rana B., Otani Y., Yu W., Yu T., Bauer G.E.W., Back C., Uhrig G.S., Dobrovolskiy O.V., Budinska B., Qin H., van Dijken S., Chumak A. V., Khitun A., Nikonov D. E., Young I. A., Zingsem B. W. and Winklhofer M., “The 2021 magnonics roadmap”, Journal of Physics: Condensed Matter, 33 (2021), 413001 | DOI

[9] Wang Q., Csaba G., Verba R., Chumak A. V., Pirro P., “Perspective on Nanoscaled Magnonic Networks”, 2023, 9 pp., arXiv: 2311.06129 | DOI

[10] Demidov V. E., Urazhdin S., Anane A., Cros V., Demokritov S. O., “Spin–orbit-torque magnonics”, Journal of Applied Physics, 127 (2020), 170901 | DOI

[11] Chumak A. V., Vasyuchka V. I., Serga A. A., Hillebrands B., “Magnon spintronics”, Nature Physics, 11 (2015), 453–461 | DOI

[12] Sadovnikov A. V., Davies C. S., Kruglyak V. V., Romanenko D. V., Grishin S. V., Beginin E. N., Sharaevskii Y. P., Nikitov S. A., “Spin wave propagation in a uniformly biased curved magnonic waveguide”, Physical Review B, 96 (2017), 060401(R) | DOI

[13] Kostylev M., Schrader P., Stamps R. L., Gubbiotti G., Carlotti G., Adeyeye A. O., Goolaup S., Singh N., “Partial frequency band gap in one-dimensional magnonic crystals”, Applied Physics Letters, 92 (2008), 132504–132504-3 | DOI

[14] Evelt M., Ochoa H., Dzyapko O., Demidov V. E., Yurgens A., Sun J., Tserkovnyak Y., Bessonov V., Rinkevich A. B., Demokritov S. O., “Chiral charge pumping in graphene deposited on a magnetic insulator”, Physical Review B, 95 (2017), 024408 | DOI

[15] Odintsov S. A., Sadovnikov A. V., Grachev A. A., Beginin E. N., Sharaevskii Y. P., Nikitov S. A., “Spatial-frequency selection of magnetostatic waves in a two-dimensional magnonic crystal lattice”, JETP Letters, 104 (2016), 563–567 | DOI

[16] Collet M., Gladii O., Evelt M., Bessonov V., Soumah L., Bortolotti P., Demokritov S. O., Henry Y., Cros V., Bailleul M., Demidov V. E., Anane A., “Spin-wave propagation in ultra-thin YIG based waveguides”, Applied Physics Letters, 110 (2017), 092408 | DOI

[17] Nikitov S. A., Tailhades Ph., Tsai C. S., “Spin waves in periodic magnetic structures—magnonic crystals”, Journal of Magnetism and Magnetic Materials, 236:3 (2001), 320–330 | DOI

[18] Kruglyak V. V., Hicken R. J., Kuchko A. N., Gorobets V. Y., “Spin waves in a periodically layered magnetic nanowire”, Journal of Applied Physics, 98 (2005), 014304 | DOI

[19] Gubbiotti G., Tacchi S., Carlotti G., Singh N., Goolaup S., Adeyeye A. O., Kostylev M., “Collective spin modes in monodimensional magnonic crystals consisting of dipolarly coupled nanowires”, Applied Physics Letters, 90 (2007), 092503 | DOI

[20] Ciubotaru F., Chumak A. V., Obry B., Serga A. A., Hillebrands B., “Magnonic band gaps in waveguides with a periodic variation of the saturation magnetization”, Physical Review B, 88 (2013), 134406 | DOI | MR

[21] Huber R., Grundler D., “Ferromagnetic nanodisks for magnonic crystals and waveguides”, Spintronics IV, Proc. SPIE, 8100, eds. Drouhin H.-J. M., Wegrowe J.-E., Razeghi M., 2011, 81000D | DOI

[22] Kłos J. W., Kumar D., Krawczyk M., Barman A., “Magnonic band engineering by intrinsic and extrinsic mirror symmetry breaking in antidot spin-wave waveguides”, Scientific Reports, 3 (2013) | DOI

[23] Groß F., Zelent M., Gangwar A., Mamica S., Gruszecki P., Werner M., Schütz G., Weigand M., Goering E. J., Back C. H., Krawczyk M., Gräfe J., “Phase resolved observation of spin wave modes in antidot lattices”, Applied Physics Letters, 118 (2021), 232403 | DOI

[24] Martyshkin A. A., Odintsov S. A., Gubanova Yu. A., Beginin E. N., Sheshukova S. E., Nikitov S. A., Sadovnikov A. V., “Controlled spin-wave transport in a magnon-crystal structure with a one-dimensional array of holes”, JETP Letters, 110 (2019), 533–539 | DOI

[25] Sadovnikov A. V., Odintsov S. A., Beginin E. N., Sheshukova S. E., Sharaevskii Yu. P., Nikitov S. A., “Toward nonlinear magnonics: Intensity-dependent spin-wave switching in insulating side-coupled magnetic stripes”, Physical Review B, 96 (2017), 144428 | DOI

[26] Lenk B., Ulrichs H., Garbs F., Münzenberg M., “The building blocks of magnonics”, Physics Reports, 507:4–5 (2011), 107–136 | DOI

[27] Vansteenkiste A., Leliaert J., Dvornik M., Helsen M., Garcia-Sanchez F., van Waeyenberge B., “The design verification of MuMax3”, AIP Advances, 4 (2014), 107133 | DOI

[28] Landau L. D., Lifschitz E. M., “On the theory of the dispersion of magnetic permeability in ferromagnetic bodies”, Phys. Z. Sowjetunion, 8 (1935), 153–164

[29] Dvornik M., Kuchko A. N., Kruglyak V. V., “Micromagnetic method of s-parameter characterization of magnonic devices”, Journal of Applied Physics, 109 (2011) | DOI

[30] Venkat G., Fangohr H., Prabhakar A., “Absorbing boundary layers for spin wave micromagnetics”, Journal of Magnetism Magnetic Materials, 450 (2018), 34–39 | DOI

[31] Damon R. W., Eschbach J. R., “Magnetostatic modes of a ferromagnet slab”, Journal of Physics and Chemistry of Solids, 19:3–4 (1961), 308–320 | DOI