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Spin Dynamics in Confined Magnetic Structures I pp 65–92Cite as

Spinwaves in Laterally Confined Magnetic Structures

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Part of the book series: Topics in Applied Physics ((TAP,volume 83))

Abstract

Recent advances in lithograpic patterning techniques have made it possible to produce high-quality arrays of micrometer size magnetic dots and wires, which are considered a prototype of the next generation magnetic memory. This review covers the current understanding of spin-wave excitations in arrays of magnetic dots and wires. Brillouin light scattering spectroscopy as the main tool as well as the current state of theory of laterally confined spinwaves are discussed. The three most important issues are addressed: the modification of dynamic magnetic properties by patterning due to shape anisotropies, the quantization of spinwaves due to their in-plane confinement in dots and wires, and anisotropic magnetic dipolar coupling between magnetic dots.

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References

  1. S. O. Demokritov, B. Hillebrands: Inelastic light scattering in magnetic dots and wires, J. Magn. Magn. Mater. 200, 706 (1999)

    Article  ADS  Google Scholar 

  2. S. Landis, B. Rodmacq, B. Dieny, B. DalZotto, S. Tedesco, M. Heitzmann: Domain structure of magnetic layers deposited on patterned silicon, Appl. Phys. Lett. 75, 2473 (1999)

    Article  ADS  Google Scholar 

  3. Y. Otani, T. Kohda, S. Kim, K. Fukamichi, O. Kitakami, Y. Shimada: Magnetization reversal processes in submicron Co dots and antidots arrays, J. Magn. Magn. Mater. 198–199, 483 (1999)

    Article  Google Scholar 

  4. O. Fruchart, W. Wernsdorfer, J.-P. Nozieres, D. Givord, F. Rousseaux, D. Mailly, D. Decanini, F. Carcenac: Arrays of ultrathin Fe(110) 200-nm-wide particles investigated by micro SQUID measurements, J. Magn. Magn. Mater. 198–199, 227 (1999)

    Google Scholar 

  5. J. Martin, J. Vicent, J. Anguita, F. Briones: Fabrication of ordered arrays of Permalloy submicrometric dots, J. Magn. Magn. Mater. 203, 156 (1999)

    Article  ADS  Google Scholar 

  6. D. Awschalom, D. DiVeincenzo: Complex dynamics of mesoscopic magnets, Phys. Today 48, 43 (1995)

    Article  Google Scholar 

  7. M. Hehn, K. Ounadjela, J. Bucher, F. Rousseaux, D. Decanini, B. Bartenlian, C. Chappert: Science 272, 1782 (1996)

    Article  ADS  Google Scholar 

  8. C. Chappert, H. Bernas, J. Ferre, V. Kottler, J.-P. Jamet, Y. Chenm, E. Cambril, T. Devolder, F. Rousseaux, V. Mathet, H. Launois: Science 280, 1919 (1998)

    Article  ADS  Google Scholar 

  9. W. Wernsdorfer, K. Hasselbach, D. Mailly, B. Barbara, A. Benoit, L. Thomas, G. Suran: DC-SQUID magnetization measurements of single magnetic particles, J. Magn. Magn. Mater. 145, 33 (1995)

    Article  ADS  Google Scholar 

  10. M. Grimsditch, Y. Jaccard, I. K. Schuller: Magnetic anisotropies in dot arrays: shape anisotropy versus coupling, Phys. Rev. B 58, 11539 (1998)

    Article  ADS  Google Scholar 

  11. B. Hillebrands, C. Mathieu, M. Bauer, S. O. Demokritov, B. Bartenlian, C. Chappert, D. Decanini, F. Rousseaux, F. Carcenac: Brillouin light scattering investigations of structure Permalloy films, J. Appl. Phys. 81, 4993 (1997)

    Article  ADS  Google Scholar 

  12. S. M. Cherif, C. Dugautier, J. F. Hennequin, P. Moch: Brillouin light scattering by magnetic surface waves in dot-structured Permalloy layers, J. Magn. Magn. Mater. 175, 227 (1997)

    Article  ADS  Google Scholar 

  13. A. Ercole, A. O. Adeyeye, J. A. C. Bland, D. G. Hasko: Size-dependent spinwave frequency in ferromagnetic wire-array structures, Phys. Rev. B 58, 345 (1998)

    Article  ADS  Google Scholar 

  14. T. Aign, P. Meyer, S. Lemerle, J. P. Jamet, J. Ferré, V. Mathet, C. Chappert, J. Gierak, C. Vieu, F. Rousseaux, H. Laumois, H. Bernas: Magnetization reversal in arrays of perpendicularly magnetized ultrathin dots coupled by dipolar interaction, Phys. Rev. Lett. 81, 5656 (1998)

    Article  ADS  Google Scholar 

  15. S. M. Cherif, Y. Roussigne, P. Moch, J. F. Hennequin, M. Labrune: Brillouin investigation of the dynamic properties of cobalt wire arrays, J. Appl. Phys. 85, 5477 (1999)

    Article  ADS  Google Scholar 

  16. P. Kraus, S. Chou: Fabrication of planar quantum magnetic disk structure using electron beam lithography, reactive ion etching, and chemical mechanical polishing, J. Vac. Sci. Technol. B 13, 2850 (1995)

    Article  Google Scholar 

  17. M. New, R. Pease, R. White: Physical and magnetic properties of submicron lithographically patterned magnetic islands, J. Vac. Sci. Technol. B 13, 1089 (1995)

    Article  Google Scholar 

  18. R. Barr, S. Yamomoto, S. Schultz: Fabrication and characterization of nanoscale arrays of nickel columns, J. Appl. Phys. 81, 4730 (1997)

    Article  ADS  Google Scholar 

  19. F. Rousseaux, D. Decanini, F. Carcenac, E. Cambril, M. Ravet, C. Chappert, N. Bardou, B. Bartenlian, P. Veillet: Study of large area high density magnetic dot arrays fabricated using synchrotron radiation based X-ray lithography, J. Vac. Sci. Technol. B 13, 2787 (1995)

    Article  Google Scholar 

  20. A. Fernandez, P. Bedrossian, S. Baker, S. Vermon, D. Kania: IEEE Trans. Magn. 32, 4472 (1996)

    Article  ADS  Google Scholar 

  21. Y. Chen, R. Kupka, F. Rousseaux, F. Carcenac, D. Decanini, M. Ravet, H. Launois: 50-nm X-ray lithography using synchrotron radiation, J. Vac. Sci. Technol. B 12, 3959 (1994)

    Article  Google Scholar 

  22. T. Devolder, C. Chappert, Y. Chen, E. Cambril, H. Bernas, J.-P. Jamet, J. Ferre: Sub-50 nm planar magnetic nanostructures fabricated by ion irradiation, Appl. Phys. Lett. 74, 3383 (1999)

    Article  ADS  Google Scholar 

  23. R. Allenspach, A. Bischof, U. Dürig, P. Grütter: Local modification of magnetic properties by an electron beam, Appl. Phys. Lett. 73, 3598 (1998)

    Article  ADS  Google Scholar 

  24. S. Demokritov, J. Wolf, P. Grünberg: Interfacial reconstruction and short-period oscillatory coupling in Fe/Cr/Fe multilayers after electron bombardment, Appl. Phys. Lett. 63, 2147 (1993)

    Article  ADS  Google Scholar 

  25. A. G. Gurevich, G. A. Melkov: Magnetization Oscillations and Waves (CRC Press, New York 1996)

    Google Scholar 

  26. B. A. Kalinikos, A. N. Slavin: Theory of dipole-exchange spinwave spectrum for ferromagnetic films with mixed exchange boundary conditions, J. Phys. C 19, 7013 (1986)

    Article  ADS  Google Scholar 

  27. C. Herring, C. Kittel: On the theory of spinwaves in ferromagnetic media, Phys. Rev. 81, 869 (1951)

    Article  MATH  ADS  Google Scholar 

  28. G. T. Rado, J. R. Weertman: J. Phys. Chem. Solids 11, 315 (1959)

    Article  ADS  Google Scholar 

  29. R. W. Damon, J. R. Eshbach: Magnetostatic modes of a ferromagnet slab, J. Phys. Chem. Solids 19, 308 (1961)

    Article  ADS  Google Scholar 

  30. B. Hillebrands: Calculation of spinwaves in multilayered structures including interface anisotropies and exchange contributions, Phys. Rev. B 37, 9885 (1988)

    Article  ADS  Google Scholar 

  31. R. Wames, T. Wolfram: Magnetostatic surface modes in an axially magnetized elliptical cylinder, Appl. Phys. Lett. 16, 305 (1970)

    Article  ADS  Google Scholar 

  32. R. Wames, T. Wolfram: J. Phys. (Paris) 32, C1 (1971)

    Google Scholar 

  33. K. Guslienko, J. Jorzick, C. Krämer, S. O. Demokritov, B. Hillebrands, E. Søndergard, M. Bailleul, C. Fermon, A. Slavin, to be published.

    Google Scholar 

  34. L. D. Landau, E. M. Lifshitz: Electrodynamics of continuous media (Pargamon Press, Oxford 1960)

    MATH  Google Scholar 

  35. J. R. Sandercock: Trends in Brillouin scattering: Studies of opque materials, supported films, and central modes, in M. Cardona, G. Güntherodt (Eds.) Light Scattering in Solids III (Springer Berlin, Heidelberg 1982)

    Google Scholar 

  36. B. Hillebrands: Progress in multipass tandem Fabry-Pérot interferometry: I. A fully automated, easy to use, self-aligning spectrometer with increased stability and flexibility, Rev. Sci. Instrum. 70, 1589 (1999)

    Article  ADS  Google Scholar 

  37. A. O. Adeyeye, J. A. C. Bland, C. Daboo, J. Lee, U. Ebels, H. Ahmed: Size dependence of the magnetoresistance in submicron FeNi wires, J. Appl. Phys. 79, 6120 (1996)

    Article  ADS  Google Scholar 

  38. B. A. Gurney, P. Baumgart, V. Speriosu, R. Fontana, A. Patlac, T. Logan, P. Humbert: Dig. Int. Conf. Magn. Films Surf. Glasgow (1991) p. 474

    Google Scholar 

  39. C. Mathieu, J. Jorzick, A. Frank, S. O. Demokritov, B. Hillebrands, B. Bartenlian, C. Chappert, D. Decanini, F. Rousseaux, E. Cambril: Lateral quantization of spinwaves in micron size magnetic wires, Phys. Rev. Lett. 81, 3968 (1998)

    Article  ADS  Google Scholar 

  40. B. Hillebrands, S. O. Demokritov, C. Mathieu, S. Riedling, O. Büttner, A. Frank, B. Roos, J. Jorzick, A. Slavin, B. Bartenlian, C. Chappert, F. Rousseaux. Decanini, E. Cambrill, A. Müller, U. Hartmann: Arrays of interacting magnetic dots and wires: Static and dynamic properties, J. Magn. Soc. Jpn. 23, 670 (1999)

    Article  Google Scholar 

  41. J. Jorzick, S. O. Demokritov, C. Mathieu, B. Hillebrands, B. Bartenlian, C. Chappert, F. Rousseaux, A. Slavin: Brillouin light scattering from quantized spinwaves in micron-size magnetic wires, Phys. Rev. B 60, 15194 (1999)

    Article  ADS  Google Scholar 

  42. C. Kittel: On the theory of ferromagnetic resonance absorption, Phys. Rev. 73, 155 (1948)

    Article  ADS  Google Scholar 

  43. R. I. Joseph, E. Schlömann: Demagnetizing field in nonellipsoidal bodies, J. Appl. Phys. 36, 1579 (1965)

    Article  ADS  Google Scholar 

  44. C. Mathieu, C. Hartmann, M. Bauer, O. Büttner, S. Riedling, B. Roos, S. O. Demokritov, B. Hillebrands, B. Bartenlian, C. Chappert, D. Decanini, F. Rousseaux, A. Müller, B. Hoffman, U. Hartmann: Anisotropic magnetic coupling of Permalloy micron dots forming a square lattice, Appl. Phys. Lett. 70, 2912 (1997)

    Article  ADS  Google Scholar 

  45. B. Hillebrands: Spin-wave calculations for multilayered structures, Phys. Rev. B 41, 530 (1990)

    Article  ADS  Google Scholar 

  46. R. Cowburn: Property variation with shape in magnetic nanoelements, J. Phys. D 33, R1 (2000)

    Article  ADS  Google Scholar 

  47. J. Jorzick, S. O. Demokritov, B. Hillebrands, B. Bartenlian, C. Chappert, D. Decanini, F. Rousseaux, E. Cambril: Spin wave quantization and dynamic coupling in micron-size circular magnetic dots, Appl. Phys. Lett. 75, 3859 (1999)

    Article  ADS  Google Scholar 

  48. J. F. Dillon: Magnetostatic modes in disks and rods, J. Appl. Phys. 31, 1605 (1960)

    Article  ADS  Google Scholar 

  49. R. D. McMichael, P. E. Wigen: Magnetostatic spin modes in thin films, in P. E. Wigen (ed.) Nonlinear Phenomena and Chaos in Magnetic Materials (World Scientific, Singapore 1994)

    Google Scholar 

  50. L. R. Walker: Magnetostatic modes in ferromagnetic resonance, Phys. Rev. 105, 390 (1957)

    Article  ADS  Google Scholar 

  51. J. F. Dillon, H. Kamimura, J. P. Remeika: Magneto-optical studies of chronium tribromide, J. Appl. Phys. 34, 1240 (1963)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, 67663, Kaiserslautern, Germany

    Sergey O. Demokritov & Burkard Hillebrands

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  1. Sergey O. Demokritov
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  2. Burkard Hillebrands
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Editors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, Erwin-Schrödinger-Straße 56, 67663, Kaiserslautern, Germany

    Burkard Hillebrands

  2. Groupe d’Etude des Materiaux Metalliques, Institut de Physique et Chimie des Materiaux de Strasbourg, 23, rue de Losses, 67037, Strasbourg Cedex, France

    Kamel Ounadjela

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Demokritov, S.O., Hillebrands, B. (2002). Spinwaves in Laterally Confined Magnetic Structures. In: Hillebrands, B., Ounadjela, K. (eds) Spin Dynamics in Confined Magnetic Structures I. Topics in Applied Physics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40907-6_3

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  • DOI: https://doi.org/10.1007/3-540-40907-6_3

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