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Ferromagnetic resonance in spin valve structures with perpendicular anisotropy

Wang Ri-Xing Xiao Yun-Chang Zhao Jing-Li

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Ferromagnetic resonance in spin valve structures with perpendicular anisotropy

Wang Ri-Xing, Xiao Yun-Chang, Zhao Jing-Li
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  • A theoretical study is presented on the magnetic-field-excited and adjusted ferromagnetic resonance in the spin valve structures with perpendicular anisotropy. Through linearizing the Landau-Lifshitz-Gilbert equation including the spin-transfer torque term, the magnetic-field-excited and adjusted ferromagnetic resonant spectra are obtained. The dependences of the resonant linewidth, resonant frequency and resonant magnetic field on the magnitude and direction of dc current density and dc magnetic field are shown. The effective damping of the system can be minimized through adjusting the magnitude and the direction of current density.
    • Funds: Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 11347132), and the Doctor Foundation Startup from Hunan University of Arts and Science, China (Grant Nos. 13102009, 10133004).
    [1]

    Berger L 1996 Phys. Rev. B 54 9353

    [2]

    Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1

    [3]

    Myers E B, Ralph D C, Katine J A, Louie R N, Buhrman R A 1999 Science 285 867

    [4]

    Katine J A, Albert F J, Buhrman R A, Myers E B, Ralph D C 2000 Phys. Rev. Lett. 84 3149

    [5]

    Zhang L, Ren M, Hu J N, Deng N, Chen P Y 2008 Acta Phys. Sin. 57 2427 (in Chinese) [张磊, 任敏, 胡九宁, 邓宁, 陈陪毅 2008 物理学报 57 2427]

    [6]

    Bao J, Xu X G, Jiang Y 2009 Acta Phys. Sin. 58 7998 (in Chinese) [包瑾, 徐晓光, 姜勇 2009 物理学报 58 7998]

    [7]

    Sun C Y, Wang Z C 2010 Chin. Phys. Lett. 27 077501

    [8]

    Kiselev S I, Sankey J C, Krivorotov I N, Emley N C, Schoelkopf R J, Buhrman R A, Ralph D C 2003 Nature 425 380

    [9]

    Yang Z, Zhang S, Li Y C 2007 Phys. Rev. Lett. 99 134101

    [10]

    Jin W, Wan Z M, Liu Y W 2011 Acta Phys. Sin. 60 017502 (in Chinese) [金伟, 万振茂, 刘要稳 2011 物理学报 60 017502]

    [11]

    Beaujour J M L, Kent A D, Abraham D W, Sun J Z 2008 J. Appl. Phys. 103 07B519

    [12]

    Wu C, Khalfan A N, Pettiford C, Sun N X, Greenbaum S, Ren Y 2008 J. Appl. Phys. 103 07B525

    [13]

    Kakazei G N, Martin P P, Ruiz A, Varela M, Alonso M, Paz E, Palomares F J, Cebollada F, Rubinger R M, Carmo M C, Sobolev N A 2008 J. Appl. Phys. 103 07B527

    [14]

    Mosendz O, Kardasz B, Heinrich B 2008 J. Appl. Phys. 103 07B505

    [15]

    Urban R, Woltersdorf G, Heinrich B 2001 Phys. Rev. Lett. 87 217204

    [16]

    Heinrich B, Tserkovnyak Y, Woltersdorf G, Brataas A, Urban R, Bauer G E W 2003 Phys. Rev. Lett. 90 187601

    [17]

    Lenz K, Toliński T, Lindner J, Kosubek E, Baberschke K 2004 Phys. Rev. B 69 144422

    [18]

    Kardasz B, Mosendz O, Heinrich B, Liu Z, Freeman M 2008 J. Appl. Phys. 103 07C509

    [19]

    Griffiths J H E 1946 Nature 158 670

    [20]

    Kittel C 1947 Phys. Rev. 71 270

    [21]

    Farle M 1998 Rep. Prog. Phys. 61 755

    [22]

    Mangin S, Ravelosona D, Katine J A, Carey M J, Terris B D, Fullerton E E 2006 Nature Mater. 5 210

    [23]

    Seki T, Mitani S, Yakushiji K, Takanashi K 2006 Appl. Phys. Lett. 88 172504

    [24]

    Meng H, Wang J P 2006 Appl. Phys. Lett. 88 172506

    [25]

    Zhu L J, Nie S H, Zhao J H 2013 Chin. Phys. B 22 118505

    [26]

    Kent A D, Öyilmaz B, Barco E del 2007 Appl. Phys. Lett. 84 3897

    [27]

    Lee K J, Redon O, Dieny B 2005 Appl. Phys. Lett. 86 022505

    [28]

    Liu N, Wang H, Zhu T 2012 Acta Phys. Sin. 61 167504 (in Chinese) [刘娜, 王海, 朱涛 2012 物理学报 61 167504]

    [29]

    Gu W J, Pan J, Hu J G 2012 Acta Phys. Sin. 61 167501 (in Chinese) [顾文娟, 潘靖, 胡经国 2012 物理学报 61 167501]

  • [1]

    Berger L 1996 Phys. Rev. B 54 9353

    [2]

    Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1

    [3]

    Myers E B, Ralph D C, Katine J A, Louie R N, Buhrman R A 1999 Science 285 867

    [4]

    Katine J A, Albert F J, Buhrman R A, Myers E B, Ralph D C 2000 Phys. Rev. Lett. 84 3149

    [5]

    Zhang L, Ren M, Hu J N, Deng N, Chen P Y 2008 Acta Phys. Sin. 57 2427 (in Chinese) [张磊, 任敏, 胡九宁, 邓宁, 陈陪毅 2008 物理学报 57 2427]

    [6]

    Bao J, Xu X G, Jiang Y 2009 Acta Phys. Sin. 58 7998 (in Chinese) [包瑾, 徐晓光, 姜勇 2009 物理学报 58 7998]

    [7]

    Sun C Y, Wang Z C 2010 Chin. Phys. Lett. 27 077501

    [8]

    Kiselev S I, Sankey J C, Krivorotov I N, Emley N C, Schoelkopf R J, Buhrman R A, Ralph D C 2003 Nature 425 380

    [9]

    Yang Z, Zhang S, Li Y C 2007 Phys. Rev. Lett. 99 134101

    [10]

    Jin W, Wan Z M, Liu Y W 2011 Acta Phys. Sin. 60 017502 (in Chinese) [金伟, 万振茂, 刘要稳 2011 物理学报 60 017502]

    [11]

    Beaujour J M L, Kent A D, Abraham D W, Sun J Z 2008 J. Appl. Phys. 103 07B519

    [12]

    Wu C, Khalfan A N, Pettiford C, Sun N X, Greenbaum S, Ren Y 2008 J. Appl. Phys. 103 07B525

    [13]

    Kakazei G N, Martin P P, Ruiz A, Varela M, Alonso M, Paz E, Palomares F J, Cebollada F, Rubinger R M, Carmo M C, Sobolev N A 2008 J. Appl. Phys. 103 07B527

    [14]

    Mosendz O, Kardasz B, Heinrich B 2008 J. Appl. Phys. 103 07B505

    [15]

    Urban R, Woltersdorf G, Heinrich B 2001 Phys. Rev. Lett. 87 217204

    [16]

    Heinrich B, Tserkovnyak Y, Woltersdorf G, Brataas A, Urban R, Bauer G E W 2003 Phys. Rev. Lett. 90 187601

    [17]

    Lenz K, Toliński T, Lindner J, Kosubek E, Baberschke K 2004 Phys. Rev. B 69 144422

    [18]

    Kardasz B, Mosendz O, Heinrich B, Liu Z, Freeman M 2008 J. Appl. Phys. 103 07C509

    [19]

    Griffiths J H E 1946 Nature 158 670

    [20]

    Kittel C 1947 Phys. Rev. 71 270

    [21]

    Farle M 1998 Rep. Prog. Phys. 61 755

    [22]

    Mangin S, Ravelosona D, Katine J A, Carey M J, Terris B D, Fullerton E E 2006 Nature Mater. 5 210

    [23]

    Seki T, Mitani S, Yakushiji K, Takanashi K 2006 Appl. Phys. Lett. 88 172504

    [24]

    Meng H, Wang J P 2006 Appl. Phys. Lett. 88 172506

    [25]

    Zhu L J, Nie S H, Zhao J H 2013 Chin. Phys. B 22 118505

    [26]

    Kent A D, Öyilmaz B, Barco E del 2007 Appl. Phys. Lett. 84 3897

    [27]

    Lee K J, Redon O, Dieny B 2005 Appl. Phys. Lett. 86 022505

    [28]

    Liu N, Wang H, Zhu T 2012 Acta Phys. Sin. 61 167504 (in Chinese) [刘娜, 王海, 朱涛 2012 物理学报 61 167504]

    [29]

    Gu W J, Pan J, Hu J G 2012 Acta Phys. Sin. 61 167501 (in Chinese) [顾文娟, 潘靖, 胡经国 2012 物理学报 61 167501]

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Publishing process
  • Received Date:  23 July 2014
  • Accepted Date:  04 September 2014
  • Published Online:  05 November 2014

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