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The eigenproblems of quantized spin waves in a (100) ferromagnetic bilayer system have been investigated theoretically by using the interface rescaling approach. The energy-band structure of the system has been obtained and the effect of the uniaxial bulk anisotropy field of easy-axis type on the energy bands were explored thoroughly. It is found that there are bulk modes, perfect confined modes and interface modes in the biferromagnetic system, the existing condition of which is determined not only by the bulk exchange coupling constant, the interface exchange coupling constant, the spin of lattice, the number of atomic layers, but also by the uniaxial bulk anisotropy.
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Keywords:
- ferromagnetic film /
- spin waves /
- anisotropy
[1] Baibich M N, Broto J M, Fert A, Nguyen Van Dau F, Petroff F, Etienne P, Creuzet G, Friederich A, Chazelas J 1988 Phys. Rev. Lett. 61 2472
[2] Monsma D J, Lodder J C, Popma J A, Dieny B 1995 Phys. Rev. Lett. 74 5260
[3] Chen E Y, Tehrani S, Zhu T, Durlam M, Goronkin H 1997 J. Appl. Phys. 81 3992
[4] Smith D, Khizroev S, Litvinov D 2006 J. Appl. Phys. 99 014503
[5] Xian C W, Zhao G P, Zhang Q X, Xu J S 2009 Acta Phys. Sin. 58 3509 (in Chinese) [鲜承伟、赵国平、张庆香、徐劲松 2009 58 3509]
[6] Schneider T, Serga A A, Leven B, Hillebrands B, Stamps R L, Kostylev M P 2008 Appl. Phys. Lett. 92 022505
[7] Khitun A, Mingqiang B, Wang K L 2008 IEEE Trans Magn. 44 2141
[8] Wieser R, Vedmedenko E Y, Wiesenganger R 2009 Phys. Rev. B 79 144412
[9] Pan J, Zhou L, Tao Y C, Hu J G 2007 Acta Phys. Sin. 56 3521 (in Chinese) [潘 靖、周 岚、陶永春、胡经国 2007 56 3521]
[10] Hillebrands B, Güntherodt G, in:Bland J A C, Heinnich B (Eds) 1993 Ultrathin Magnetic Structure Ⅱ(Springer Berlin)
[11] Müller W, Nolting W 2002 Phys. Rev. B 66 085205
[12] Qiu R K, Song P P, Zhang Z D, Guo L Q 2008 Chin. Phys. Soc. 17 3894
[13] Mercier D, Levy J C S, Watson M L, Whiting J S S, Chamber A 1991 Phys. Rev. B 43 3311
[14] Henelius P, Frobrich P, Kuntz P J, Timm C, Jensen P J 2002 Phys. Rev. B 66 094407
[15] Liu Y F, Liu J H, Jia C 2008 Acta Phys. Sin. 57 1897 (in Chinese) [刘艳芬、刘晶会、贾 城 2008 57 1897]
[16] Puszkarski H 1988 Acta Phys. Polon. A 71 701
[17] Puszkarski H 1992 Phys. Rev. B 46 8926 Puszkarski H 1994 Phys. Rev. B 49 6718
[18] Puszkarski H, Kolodziejczak B, Akjouj A, Djafari-rouhani B, Dobrzynski L 1995 J. Magn. Magn. Mater 140-144 1981
[19] Liang X X, Zheng R S, Ban S L, Yan J H, Yun G H, Wang X 1995 Theories of the Electron-Phonon Interaction and Spin Waves in Layered Materials (Inner Mongolia University Press) p181
[20] Zhou W P, Yun G H, Liang X X 2008 Phys. Rev. B 77 104403
[21] Zhou W P, Yun G H, Liang X X 2009 Chin. Phys. Soc. 18 5496
[22] Yaniv A 1983 Phys. Rev. B 28 402
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[1] Baibich M N, Broto J M, Fert A, Nguyen Van Dau F, Petroff F, Etienne P, Creuzet G, Friederich A, Chazelas J 1988 Phys. Rev. Lett. 61 2472
[2] Monsma D J, Lodder J C, Popma J A, Dieny B 1995 Phys. Rev. Lett. 74 5260
[3] Chen E Y, Tehrani S, Zhu T, Durlam M, Goronkin H 1997 J. Appl. Phys. 81 3992
[4] Smith D, Khizroev S, Litvinov D 2006 J. Appl. Phys. 99 014503
[5] Xian C W, Zhao G P, Zhang Q X, Xu J S 2009 Acta Phys. Sin. 58 3509 (in Chinese) [鲜承伟、赵国平、张庆香、徐劲松 2009 58 3509]
[6] Schneider T, Serga A A, Leven B, Hillebrands B, Stamps R L, Kostylev M P 2008 Appl. Phys. Lett. 92 022505
[7] Khitun A, Mingqiang B, Wang K L 2008 IEEE Trans Magn. 44 2141
[8] Wieser R, Vedmedenko E Y, Wiesenganger R 2009 Phys. Rev. B 79 144412
[9] Pan J, Zhou L, Tao Y C, Hu J G 2007 Acta Phys. Sin. 56 3521 (in Chinese) [潘 靖、周 岚、陶永春、胡经国 2007 56 3521]
[10] Hillebrands B, Güntherodt G, in:Bland J A C, Heinnich B (Eds) 1993 Ultrathin Magnetic Structure Ⅱ(Springer Berlin)
[11] Müller W, Nolting W 2002 Phys. Rev. B 66 085205
[12] Qiu R K, Song P P, Zhang Z D, Guo L Q 2008 Chin. Phys. Soc. 17 3894
[13] Mercier D, Levy J C S, Watson M L, Whiting J S S, Chamber A 1991 Phys. Rev. B 43 3311
[14] Henelius P, Frobrich P, Kuntz P J, Timm C, Jensen P J 2002 Phys. Rev. B 66 094407
[15] Liu Y F, Liu J H, Jia C 2008 Acta Phys. Sin. 57 1897 (in Chinese) [刘艳芬、刘晶会、贾 城 2008 57 1897]
[16] Puszkarski H 1988 Acta Phys. Polon. A 71 701
[17] Puszkarski H 1992 Phys. Rev. B 46 8926 Puszkarski H 1994 Phys. Rev. B 49 6718
[18] Puszkarski H, Kolodziejczak B, Akjouj A, Djafari-rouhani B, Dobrzynski L 1995 J. Magn. Magn. Mater 140-144 1981
[19] Liang X X, Zheng R S, Ban S L, Yan J H, Yun G H, Wang X 1995 Theories of the Electron-Phonon Interaction and Spin Waves in Layered Materials (Inner Mongolia University Press) p181
[20] Zhou W P, Yun G H, Liang X X 2008 Phys. Rev. B 77 104403
[21] Zhou W P, Yun G H, Liang X X 2009 Chin. Phys. Soc. 18 5496
[22] Yaniv A 1983 Phys. Rev. B 28 402
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