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Advances in Materials Science and Engineering
Volume 2016 (2016), Article ID 4243817, 7 pages
http://dx.doi.org/10.1155/2016/4243817
Research Article

Dual Band Magnonic Crystals: Model System and Basic Spin Wave Dynamics

Dipartimento di Fisica e Scienze della Terra, Università degli Studi di Ferrara, Via G. Saragat 1, 44121 Ferrara, Italy

Received 3 December 2015; Revised 13 April 2016; Accepted 23 May 2016

Academic Editor: Charles C. Sorrell

Copyright © 2016 Federico Montoncello and Loris Giovannini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. L. Stamps, S. Breitkreutz, J. Åkerman et al., “The 2014 magnetism roadmap,” Journal of Physics D: Applied Physics, vol. 47, no. 33, Article ID 333001, 2014. View at Publisher · View at Google Scholar
  2. M. Krawczyk and D. Grundler, “Review and prospects of magnonic crystals and devices with reprogrammable band structure,” Journal of Physics: Condensed Matter, vol. 26, no. 12, Article ID 123202, 2014. View at Publisher · View at Google Scholar
  3. G. Gubbiotti, F. Montoncello, S. Tacchi et al., “Angle-resolved spin wave band diagrams of square antidot lattices studied by Brillouin light scattering,” Applied Physics Letters, vol. 106, no. 26, Article ID 262406, 2015. View at Publisher · View at Google Scholar
  4. M. Krawczyk, S. Mamica, M. Mruczkiewicz et al., “Magnonic band structures in two-dimensional bi-component magnonic crystals with in-plane magnetization,” Journal of Physics D: Applied Physics, vol. 46, no. 49, Article ID 495003, 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. S. Mamica, “Tailoring of the partial magnonic gap in three-dimensional magnetoferritin-based magnonic crystals,” Journal of Applied Physics, vol. 114, no. 4, Article ID 043912, 2013. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Topp, D. Heitmann, M. P. Kostylev, and D. Grundler, “Making a reconfigurable artificial crystal by ordering bistable magnetic nanowires,” Physical Review Letters, vol. 104, no. 20, Article ID 207205, 2010. View at Publisher · View at Google Scholar · View at Scopus
  7. H. Yu, G. Duerr, R. Huber et al., “Omnidirectional spin-wave nanograting coupler,” Nature Communications, vol. 4, article 2702, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. B. Van de Wiele and F. Montoncello, “A continuous excitation approach to determine time-dependent dispersion diagrams in 2D magnonic crystals,” Journal of Physics D: Applied Physics, vol. 47, no. 31, p. 315002, 2014. View at Publisher · View at Google Scholar
  9. B. Van de Wiele, S. J. Hämäläinen, P. Baláž, F. Montoncello, and S. van Dijken, “Tunable short-wavelength spin wave excitation from pinned magnetic domain walls,” Scientific Reports, vol. 6, Article ID 21330, 2016. View at Publisher · View at Google Scholar
  10. S. Klingler, P. Pirro, T. Brächer, B. Leven, B. Hillebrands, and A. V. Chumak, “Design of a spin-wave majority gate employing mode selection,” Applied Physics Letters, vol. 105, no. 15, Article ID 152410, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. S.-K. Kim, K.-S. Lee, and D.-S. Han, “A gigahertz-range spin-wave filter composed of width-modulated nanostrip magnonic-crystal waveguides,” Applied Physics Letters, vol. 95, no. 8, Article ID 082507, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. A. V. Chumak, V. I. Vasyuchka, A. A. Serga, M. P. Kostylev, V. S. Tiberkevich, and B. Hillebrands, “Storage-recovery phenomenon in magnonic crystal,” Physical Review Letters, vol. 108, no. 25, Article ID 257207, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. A. A. Serga, A. V. Chumak, A. André et al., “Parametrically stimulated recovery of a microwave signal stored in standing spin-wave modes of a pagnetic film,” Physical Review Letters, vol. 99, no. 22, Article ID 227202, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. F. Montoncello and L. Giovannini, “Bandwidth broadening and asymmetric softening of collective spin waves in magnonic crystals,” Applied Physics Letters, vol. 104, no. 24, Article ID 242407, 2014. View at Publisher · View at Google Scholar
  15. F. Montoncello, S. Tacchi, L. Giovannini et al., “Asymmetry of spin wave dispersions in a hexagonal magnonic crystal,” Applied Physics Letters, vol. 102, no. 20, Article ID 202411, 2013. View at Publisher · View at Google Scholar · View at Scopus
  16. F. Montoncello and L. Giovannini, “Vortex mode dynamics and bandwidth tunability in a two-dimensional array of interacting magnetic disks,” Applied Physics Letters, vol. 100, no. 18, Article ID 182406, 2012. View at Publisher · View at Google Scholar
  17. A. V. Khvalkovskiy, D. Apalkov, S. Watts et al., “Erratum: basic principles of STT-MRAM cell operation in memory arrays,” Journal of Physics D: Applied Physics, vol. 46, no. 13, Article ID 139601, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. A. V. Chumak, A. A. Serga, and B. Hillebrands, “Magnon transistor for all-magnon data processing,” Nature Communications, vol. 5, article 4700, 2014. View at Publisher · View at Google Scholar · View at Scopus
  19. A. Khitun, M. Bao, and K. L. Wang, “Magnonic logic circuits,” Journal of Physics D: Applied Physics, vol. 43, no. 26, Article ID 264005, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. A. V. Chumak, V. I. Vasyuchka, A. A. Serga, and B. Hillebrands, “Magnon spintronics,” Nature Physics, vol. 11, no. 6, pp. 453–461, 2015. View at Publisher · View at Google Scholar · View at Scopus
  21. L. J. Heyderman and R. L. Stamps, “Artificial ferroic systems: novel functionality from structure, interactions and dynamics,” Journal of Physics Condensed Matter, vol. 25, no. 36, Article ID 363201, 2013. View at Publisher · View at Google Scholar · View at Scopus
  22. M. J. Donahue and D. G. Porter, OOMMF User's Guide, Version 1.0, NIST, Gaithersburg, Md, USA, 1999.
  23. L. Giovannini, F. Montoncello, and F. Nizzoli, “Effect of interdot coupling on spin-wave modes in nanoparticle arrays,” Physical Review B, vol. 75, no. 2, Article ID 024416, 2007. View at Publisher · View at Google Scholar · View at Scopus
  24. O. Kasyutich, R. D. Desautels, B. W. Southern, and J. Van Lierop, “Novel aspects of magnetic interactions in a macroscopic 3D nanoparticle-based crystal,” Physical Review Letters, vol. 104, no. 12, Article ID 127205, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. O. Kasyutich, D. Tatchev, A. Hoell, F. Ogrin, C. Dewhurst, and W. Schwarzacher, “Small angle X-ray and neutron scattering study of disordered and three dimensional-ordered magnetic protein arrays,” Journal of Applied Physics, vol. 105, no. 7, Article ID 07B528, 2009. View at Publisher · View at Google Scholar · View at Scopus
  26. O. Kasyutich, A. Sarua, and W. Schwarzacher, “Bioengineered magnetic crystals,” Journal of Physics D: Applied Physics, vol. 41, no. 13, Article ID 134022, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. F. Montoncello, L. Giovannini, and M. Krawczyk, “Spin wave localization and softening in rod-shaped magnonic crystals with different terminations,” Journal of Applied Physics, vol. 112, no. 3, Article ID 033911, 2012. View at Publisher · View at Google Scholar
  28. S. Tacchi, P. Gruszecki, M. Madami et al., “Universal dependence of the spin wave band structure on the geometrical characteristics of two-dimensional magnonic crystals,” Scientific Reports, vol. 5, Article ID 10367, 2015. View at Publisher · View at Google Scholar · View at Scopus
  29. R. Zivieri, S. Tacchi, F. Montoncello et al., “Bragg diffraction of spin waves from a two-dimensional antidot lattice,” Physical Review B, vol. 85, no. 1, Article ID 012403, 2012. View at Publisher · View at Google Scholar · View at Scopus
  30. A. V. Chumak, A. A. Serga, S. Wolff, B. Hillebrands, and M. P. Kostylev, “Scattering of surface and volume spin waves in a magnonic crystal,” Applied Physics Letters, vol. 94, no. 17, Article ID 172511, 2009. View at Publisher · View at Google Scholar · View at Scopus
  31. A. V. Chumak, A. A. Serga, S. Wolff, B. Hillebrands, and M. P. Kostylev, “Design and optimization of one-dimensional ferrite-film based magnonic crystals,” Journal of Applied Physics, vol. 105, no. 8, Article ID 083906, 2009. View at Publisher · View at Google Scholar · View at Scopus
  32. M. Madami, S. Bonetti, G. Consolo et al., “Direct observation of a propagating spin wave induced by spin-transfer torque,” Nature Nanotechnology, vol. 6, no. 10, pp. 635–638, 2010. View at Publisher · View at Google Scholar · View at Scopus
  33. V. E. Demidov, S. Urazhdin, H. Ulrichs et al., “Magnetic nano-oscillator driven by pure spin current,” Nature Materials, vol. 11, no. 12, pp. 1028–1031, 2012. View at Publisher · View at Google Scholar · View at Scopus
  34. B. Van De Wiele, L. Laurson, K. J. A. Franke, and S. Van Dijken, “Electric field driven magnetic domain wall motion in ferromagnetic- ferroelectric heterostructures,” Applied Physics Letters, vol. 104, no. 1, Article ID 012401, 2014. View at Publisher · View at Google Scholar · View at Scopus
  35. Y. Au, E. Ahmad, O. Dmytriiev, M. Dvornik, T. Davison, and V. V. Kruglyak, “Resonant microwave-to-spin-wave transducer,” Applied Physics Letters, vol. 100, no. 18, Article ID 182404, 2012. View at Publisher · View at Google Scholar · View at Scopus
  36. B. Koene, M. Savoini, A. V. Kimel, A. Kirilyuk, and T. Rasing, “Optical energy optimization at the nanoscale by near-field interference,” Applied Physics Letters, vol. 101, no. 1, Article ID 013115, 2012. View at Publisher · View at Google Scholar · View at Scopus
  37. J. Ding, M. Kostylev, and A. O. Adeyeye, “Magnonic crystal as a medium with tunable disorder on a periodical lattice,” Physical Review Letters, vol. 107, no. 4, Article ID 047205, 2011. View at Publisher · View at Google Scholar
  38. N. Ross, M. Kostylev, and R. L. Stamps, “Effect of disorder studied with ferromagnetic resonance for arrays of tangentially magnetized submicron Permalloy disks fabricated by nanosphere lithography,” Journal of Applied Physics, vol. 109, no. 1, Article ID 013906, 2011. View at Publisher · View at Google Scholar
  39. R. W. Damon and J. R. Eshbach, “Magnetostatic modes of a ferromagnet slab,” Journal of Physics and Chemistry of Solids, vol. 19, no. 3-4, pp. 308–320, 1961. View at Publisher · View at Google Scholar · View at Scopus
  40. R. M. White, Quantum Theory of Magnetism: Magnetic Properties of Materials, chapter 8, Springer, Berlin, Germany, 2007. View at Publisher · View at Google Scholar
  41. G. Venkat, D. Kumar, M. Franchin et al., “Proposal for a standard micromagnetic problem: spin wave dispersion in a magnonic waveguide,” IEEE Transactions on Magnetics, vol. 49, no. 1, pp. 524–529, 2013. View at Publisher · View at Google Scholar · View at Scopus
  42. D. V. Berkov and J. Miltat, “Spin-torque driven magnetization dynamics: micromagnetic modeling,” Journal of Magnetism and Magnetic Materials, vol. 320, no. 7, pp. 1238–1259, 2008. View at Publisher · View at Google Scholar · View at Scopus
  43. C. Bayer, M. P. Kostylev, and B. Hillebrands, “Spin-wave eigenmodes of an infinite thin film with periodically modulated exchange bias field,” Applied Physics Letters, vol. 88, no. 11, Article ID 112504, 2006. View at Publisher · View at Google Scholar
  44. H. Puszkarski, M. Krawczyk, and J.-C. S. Lévy, “Localization properties of pure magnetostatic modes in a cubic nanograin,” Physical Review B, vol. 71, no. 1, Article ID 014421, 2005. View at Publisher · View at Google Scholar · View at Scopus
  45. M. Grimsditch, G. K. Leaf, H. G. Kaper, D. A. Karpeev, and R. E. Camley, “Normal modes of spin excitations in magnetic nanoparticles,” Physical Review B, vol. 69, no. 17, Article ID 174428, 2004. View at Publisher · View at Google Scholar · View at Scopus
  46. M. Krawczyk and H. Puszkarski, “Plane-wave theory of three-dimensional magnonic crystals,” Physical Review B, vol. 77, no. 5, Article ID 054437, 13 pages, 2008. View at Publisher · View at Google Scholar
  47. S. Mamica, M. Krawczyk, M. L. Sokolovskyy, and J. Romero-Vivas, “Large magnonic band gaps and spectra evolution in three-dimensional magnonic crystals based on magnetoferritin nanoparticles,” Physical Review B, vol. 86, no. 14, Article ID 144402, 2012. View at Publisher · View at Google Scholar · View at Scopus
  48. N. S. Almeida and D. L. Mills, “Effective-medium theory of long-wavelength spin waves in magnetic superlattices,” Physical Review B, vol. 38, no. 10, pp. 6698–6710, 1988. View at Publisher · View at Google Scholar · View at Scopus
  49. X.-Z. Wang and D. R. Tilley, “Magnetostatic modes on lateral magnetic superlattices,” Physics Letters A, vol. 187, no. 4, pp. 325–330, 1994. View at Publisher · View at Google Scholar
  50. X.-Z. Wang and D. R. Tilley, “Magnetostatic surface and guided modes of lateral-magnetic-superlattice films,” Physical Review B, vol. 50, no. 18, pp. 13472–13479, 1994. View at Publisher · View at Google Scholar · View at Scopus
  51. X.-Z. Wang and D. R. Tilley, “Magnetostatic modes of lateral-magnetic-superlattice films in a transverse field,” Journal of Physics: Condensed Matter, vol. 9, no. 27, pp. 5777–5786, 1997. View at Publisher · View at Google Scholar
  52. F. Montoncello and F. Nizzoli, “Spin modes of triangular magnetic nanodots in the vortex, Y, and buckle states,” Journal of Applied Physics, vol. 107, no. 2, Article ID 023906, 2010. View at Publisher · View at Google Scholar
  53. F. Montoncello, L. Giovannini, F. Nizzoli, P. Vavassori, and M. Grimsditch, “Dynamic origin of first and second order phase transitions in magnetization reversal of elliptical nanodots,” Physical Review B, vol. 77, no. 21, Article ID 214402, 2008. View at Publisher · View at Google Scholar · View at Scopus
  54. F. Montoncello, L. Giovannini, F. Nizzoli et al., “Magnetization reversal and soft modes in nanorings: transitions between onion and vortex states studied by Brillouin light scattering,” Physical Review B, vol. 78, no. 10, Article ID 104421, 7 pages, 2008. View at Publisher · View at Google Scholar