Abstract.
The eigenproblems of spin waves in a heterogeneous ferromagnetic bilayer system with periodic boundary conditions are solved using the interface-rescaling approach. Brillouin zone mapping and the eigenmodes of the system are investigated. We find three types of spin waves may exist in the system: the bulk mode, the interface mode, and the perfect confined mode. The fine structure of the energy band in the heterogeneous bilayer system is first given for the whole two-dimensional Brillouin zone. Conditions for the existence of the interface mode are discussed. Finally, we analyze the resonant-confined spin waves in bulk modes and their oscillating behavior.
Similar content being viewed by others
References
M.N. Baibich, J.M. Broto, A. Fert, F. Nguyen VanDau, F. Petroff, Phys. Rev. Lett. 61, 2472 (1988)
R.E. Camley, R.L. Stamps, J. Phys.: Condens. Matter 5, 3723 (1993)
D.J. Monsma, J.C. Lodder, Th.J.A. Popma, B. Dieny, Phys. Rev. Lett. 74, 5260 (1995)
Ch. Tsang, R.E. Fontana, T. Lin, D.E. Heim, V.S. Speriosu, B.A. Gurney, M.L. Williams, IEEE Trans. Magn. 30, 3081 (1994)
E.Y. Chen, S. Tehrani, T. Zhu, M. Durlam, H. Goronkin, J. Appl. Phys. 81, 3992 (1997)
G.F. Hughes, IEEE Trans. Magn. 36, 521 (2000)
C.T. Rettner, M.E. Best, B.D. Terris, IEEE Trans. Magn. 37, 1649 (2001)
D. Smith, E. Chunsheng, S. Khizroev, D. Litvinov, J. Appl. Phys. 99, 014503 (2006)
S. Maekawa, T. Shinjo, Spin dependent transport in magnetic nanostructures (Taylor, London and New York, 2002), Chap. 5
V. Novosad, M. Grimsditch, K.Yu. Guslienko, P. Vavassori, Y. Otani, S.D. Bader, Phys. Rev. B 66, 052407 (2002)
J. Shibata, K. Shigeto, Y. Otani, Phys. Rev. B 67, 224404 (2003)
K.Yu. Guslienko, S.O. Demokritov, B. Hillebrands, A.N. Slavin, Phys. Rev. B 66, 132402 (2002)
M. Krawczyk, H. Puszkarski, J.C.S. Lévy, D. Mercier, J. Phys.: Condens. Matter 15, 2449 (2003)
M.P. Kostylev, A.A. Stashkevich, N.A. Sergeeva, Phys. Rev. B 69, 064408 (2004)
M. Bolte, G. Meier, C. Bayer, Phys. Rev. B 73, 052406 (2006)
G. Leaf, H. Kaper, M. Yan, V. Novosad, P. Vavassori, R.E. Camley, M. Grimsdich, Phys. Rev. Lett. 96, 017201 (2006)
H. Puszkarski, L. Dobrzynski, Phys. Rev. B 39, 1819 (1989)
H. Puszkarski, Solid State Commun. 72, 887 (1989)
H. Puszkarski, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, Phys. Rev. B 51, 16008 (1995)
H. Puszkarski, R. Jozefowicz, B. Kolodziejczak, A. Akjouj, B. Djafari-Rouhani, L. Dobrzynski, Surf. Sci. 352–354, 914 (1996)
G.H. Yun, X.X. Liang, Eur. Phys. J. B 35, 261 (2003)
G.H. Yun, J.H. Yan, S.L. Ban, X.X. Liang, Surf. Sci. 318, 177 (1994)
X.X. Liang et al., Theories of the Electron-Phonon Interaction and Spin-Waves in Layered Materials (Inner Mongolia University Press, 1995), Chap. 5
W.P. Zhou, G.H. Yun, Surf. Sci. 553, 75 (2004)
A. Yaniv, Phys. Rev. B 28, 402 (1983)
H. Puszkarski, Surf. Sci. Rep. 20, 45 (1994)
H. Puszkarski, S. Mamica, Horizons in World Physics 244, 1 (2004)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhou, W., Yun, G. & Liang, X. Brillouin-zone mapping of the spin waves in a ferromagnetic bilayer system. Eur. Phys. J. B 55, 37–42 (2007). https://doi.org/10.1140/epjb/e2007-00039-1
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2007-00039-1