Abstract.
A microscopic model is employed to calculate the spectrum of dipole-exchange spin waves in multilayers in which thin ferromagnetic films are separated by non-magnetic spacers. Two configurations are considered: in one the films have magnetizations parallel to each other, in the other the magnetizations are antiparallel. The calculations extend a previous microscopic formalism that allows the calculation of the dipole-exchange spin wave spectrum in thin films. The results show the splitting of the frequency bands and the mode mixing caused by the dipolar interaction between the films as a function of spacer thickness.
Similar content being viewed by others
References
Ultrathin Magnetic Structures, Vols. I and II, edited by B. Heinrich, J.A.C. Bland (Springer-Verlag, Berlin, 1994)
R.W. Damon, J.R. Eshbach, J. Phys. Chem. Solids 19, 308 (1961)
P. Grünberg, K. Mika, Phys. Rev. B 27, 2955 (1983)
P.R. Emtage, M.R. Daniel, Phys. Rev. B 29, 212 (1984)
K. Mika, P. Grünberg, Phys. Rev. B 31, 4465 (1985)
P. Grünberg, J. Appl. Phys. 57, 3673 (1985)
J.D. Adam, T.W. O’Keefe, R.W. Patterson, J. Appl. Phys. 50, 2446 (1979)
Yu.F. Ogrin, A.V. Lugovoskoi, Sov. Tech. Phys. Lett. 9, 421 (1983)
B.A. Kalinikos, N.G. Kovshinikov, A.N. Slavin, Sov. Phys. - JETP Lett. 59, 586 (1983)
B.A. Kalinikos, N.G. Kovshinikov, A.N. Slavin, Sov. Phys. - JETP Lett. 94, 303 (1988)
R.P. Erickson, D.L. Mills, Phys. Rev. B 43, 10715 (1991)
R.P. Erickson, D.L. Mills, Phys. Rev. B 44, 11825 (1991)
F.C. Nortemann, R.L. Stamps, R.E. Camley, Phys. Rev. B 47, 11910 (1993)
R.N. Costa Filho, M.G. Cottam, G.A. Farias, Solid State Comm. 108, 439 (1998)
R.N. Costa Filho, M.G. Cottam, G.A. Farias, Phys. Rev. B 62, 6545 (2000)
J.M. Pereira Jr, M.G. Cottam, Phys. Rev. B 68, 104429 (2003)
H. Benson, D.L. Mills, Phys. Rev. 178, 839 (1969)
A.N. Bogdanov, U.K. Rößler, K.-H. Müller, J. Magn. Magn. Mater. 238, 155 (2002)
F. Keffer, Spin Waves, in Handbuch der Physik, Vol. XVIII/B, edited by S. Flüge (Springer-Verlag, Berlin, 1966)
R.W. Wang, D.L. Mills, E.E. Fullerton, J.E. Mattson, S.D. Bader, Phys. Rev. Lett. 72, 6, 920 (1994)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 26 May 2004, Published online: 12 August 2004
PACS:
75.30.Ds Spin waves - 75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) - 75.70.-i Magnetic properties of thin films, surfaces, and interfaces
Rights and permissions
About this article
Cite this article
Milton Pereira , J., Costa Filho, R.N. Microscopic theory of dipole-exchange spin waves in magnetic multilayers. Eur. Phys. J. B 40, 137–144 (2004). https://doi.org/10.1140/epjb/e2004-00252-4
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2004-00252-4