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铁磁/重金属双层薄膜结构中磁性状态的稳定性分析

王日兴 贺鹏斌 肖运昌 李建英

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铁磁/重金属双层薄膜结构中磁性状态的稳定性分析

王日兴, 贺鹏斌, 肖运昌, 李建英

Stability of magnetization states in a ferromagnet/heavy metal bilayer structure

Wang Ri-Xing, He Peng-Bin, Xiao Yun-Chang, Li Jian-Ying
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  • 本文在理论上研究了铁磁/重金属双层薄膜结构中自旋霍尔效应自旋矩驱动的磁动力学. 通过线性稳定性分析, 获得了以电流和磁场为控制参数的磁性状态相图. 发现通过调节电流密度和外磁场, 可以获得不同的磁性状态, 例如: 平面内的进动态、平面内的稳定态以及双稳态. 当外磁场的方向在一定的范围时, 通过调节电流密度可以实现磁矩的翻转和进动. 同时, 通过数值求解微分方程, 给出了这些磁性状态磁矩的演化轨迹.
    The influence of spin Hall effect on magnetization dynamics is one of the hottest topics in spintronics. In this paper, the magnetization dynamics driven by the spin Hall effect-induced torque in a ferromagnet /heavy metal bilayer structure has been investigated theoretically. By linearizing the Landau-Lifshitz-Gilbert equation which includes the spin Hall effect torque term, and taking stability analysis, the phase diagrams in the plane defined by the current density and external magnetic field have been obtained. Under the control of the current density and external magnetic field, several magnetic states, such as in-plane stable state, in-plane precession and bistable states can be realized. With the external magnetic field oriented within a certain range, the magnetization reversal and precession can be realized through adjusting the current density. In addition, the dynamic evolutions of these magnetic states are demonstrated by solving the temporal evolutive equations numerically.
    • 基金项目: 国家自然科学基金(批准号:11347132),湖南省教育厅一般项目(批准号:14C0807)和湖南文理学院校级科研项目(批准号:14YB02)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11347132), the Research Foundation of Education Bureau of Hunan Province, China (Grant No.14C0807), and the Field Grade Scientific Research of Hunan University of Arts and Science, China (Grant No. 14YB02).
    [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]

    Bazaliy Ya B, B. A. Jones, Zhang S C 1998 Phys. Rev. B 57 R3213

    [10]

    Zhang S, Li Z 2004 Phys. Rev. Lett. 93 127204

    [11]

    Dyakonov M I, Perel V I 1971 Phys. Lett. 35 459

    [12]

    Hirsch J E 1999 Phys. Rev. Lett. 83 1834

    [13]

    Zhang S F 2000 Phys. Rev. Lett. 85 393

    [14]

    Liu L Q, Pai C F, Li Y, Tseng H W, Ralph D C, Buhrman R A 2012 Science 336 555

    [15]

    Liu L Q, Lee O J, Gudmundsen T J, Ralph D C, Buhrman R A 2012 Phys. Rev. Lett. 109 096602

    [16]

    Pai C F, Liu L Q, Li Y, Tseng H W, Ralph D C, Buhrman R A 2012 Appl. Phys. Lett. 101 122404

    [17]

    Lee K S, Lee S W, Min B C, Lee K J 2013 Appl. Phys. Lett. 102 112410

    [18]

    Liu L Q, Pai C F, Ralph D C, Buhrman R A 2012 Phys. Rev. Lett. 109 186602

    [19]

    Liu B Z, Peng J H 2005 Nonlinear Dynamics (Beijing: High Education Publishing) p34 (in Chinese) [刘秉正, 彭建华 2005 非线性动力学 (北京:高等教育出版社) 第34页]

    [20]

    Bazaliy Ya B, Jones B. A., Zhang S C 2004 Phys. Rev. B 69 094421

    [21]

    Grollier J, Cros V, Jaffrès H, Hamzic A, George J M, Faini G, Youssef J. Ben, Gall H Le, Fert A 2003 Phys. Rev. B 67 174402

    [22]

    Smith N, Katine J A, Childress J R, Carey M J 2005 IEEE Trans. Magn. 41 2935

    [23]

    Morise H, Nakamura S 2005 Phys. Rev. B 71 014439

    [24]

    Ebels U, Houssameddine D, Firastrau I, Gusakova D, Thirion C, Dieny B, Buda-Prejbeanu L D 2008 Phys. Rev. B 78 024436

    [25]

    Zhou Y, Bonetti S, Zha C L, Åkerman J 2009 New J. Phys. 11 103028

    [26]

    He P B, Wang R X, Li Z D, Liu Q H, Pan A L, Wang Y G, Zou B S 2010 Eur. Phys. J. B 73 417

    [27]

    Wang R X, He P B, Li Z D, Pan A L, Liu Q H 2011 J. Appl. Phys. 109 039905

    [28]

    Wang R X, Zhao J L, He P B, Gu G N, Li Z D, Pan A L, Liu Q H 2013 J. Magn. Magn. Mater. 327 132

    [29]

    Li Z D, He P B, Liu W M 2014 Chin. Phys. B 23 117502

  • [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]

    Bazaliy Ya B, B. A. Jones, Zhang S C 1998 Phys. Rev. B 57 R3213

    [10]

    Zhang S, Li Z 2004 Phys. Rev. Lett. 93 127204

    [11]

    Dyakonov M I, Perel V I 1971 Phys. Lett. 35 459

    [12]

    Hirsch J E 1999 Phys. Rev. Lett. 83 1834

    [13]

    Zhang S F 2000 Phys. Rev. Lett. 85 393

    [14]

    Liu L Q, Pai C F, Li Y, Tseng H W, Ralph D C, Buhrman R A 2012 Science 336 555

    [15]

    Liu L Q, Lee O J, Gudmundsen T J, Ralph D C, Buhrman R A 2012 Phys. Rev. Lett. 109 096602

    [16]

    Pai C F, Liu L Q, Li Y, Tseng H W, Ralph D C, Buhrman R A 2012 Appl. Phys. Lett. 101 122404

    [17]

    Lee K S, Lee S W, Min B C, Lee K J 2013 Appl. Phys. Lett. 102 112410

    [18]

    Liu L Q, Pai C F, Ralph D C, Buhrman R A 2012 Phys. Rev. Lett. 109 186602

    [19]

    Liu B Z, Peng J H 2005 Nonlinear Dynamics (Beijing: High Education Publishing) p34 (in Chinese) [刘秉正, 彭建华 2005 非线性动力学 (北京:高等教育出版社) 第34页]

    [20]

    Bazaliy Ya B, Jones B. A., Zhang S C 2004 Phys. Rev. B 69 094421

    [21]

    Grollier J, Cros V, Jaffrès H, Hamzic A, George J M, Faini G, Youssef J. Ben, Gall H Le, Fert A 2003 Phys. Rev. B 67 174402

    [22]

    Smith N, Katine J A, Childress J R, Carey M J 2005 IEEE Trans. Magn. 41 2935

    [23]

    Morise H, Nakamura S 2005 Phys. Rev. B 71 014439

    [24]

    Ebels U, Houssameddine D, Firastrau I, Gusakova D, Thirion C, Dieny B, Buda-Prejbeanu L D 2008 Phys. Rev. B 78 024436

    [25]

    Zhou Y, Bonetti S, Zha C L, Åkerman J 2009 New J. Phys. 11 103028

    [26]

    He P B, Wang R X, Li Z D, Liu Q H, Pan A L, Wang Y G, Zou B S 2010 Eur. Phys. J. B 73 417

    [27]

    Wang R X, He P B, Li Z D, Pan A L, Liu Q H 2011 J. Appl. Phys. 109 039905

    [28]

    Wang R X, Zhao J L, He P B, Gu G N, Li Z D, Pan A L, Liu Q H 2013 J. Magn. Magn. Mater. 327 132

    [29]

    Li Z D, He P B, Liu W M 2014 Chin. Phys. B 23 117502

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出版历程
  • 收稿日期:  2014-12-24
  • 修回日期:  2015-02-16
  • 刊出日期:  2015-07-05

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