Spin torque nano-oscillators with a perpendicular spin polarizer

doi:10.1088/1674-1056/28/3/037503

中国物理B ›› 2019, Vol. 28 ›› Issue (3): 37503-037503.doi: 10.1088/1674-1056/28/3/037503

所属专题： Virtual Special Topic — Magnetism and Magnetic Materials

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Spin torque nano-oscillators with a perpendicular spin polarizer

Cuixiu Zheng(郑翠秀), Hao-Hsau Chen(陈浩轩), Xiangli Zhang(张祥丽), Zongzhi Zhang(张宗芝), Yaowen Liu(刘要稳)

1 Shanghai Key Laboratory for Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;
2 Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China

收稿日期:2019-01-08 修回日期:2019-01-25 出版日期:2019-03-05 发布日期:2019-03-05
通讯作者: Yaowen Liu E-mail:yaowen@tongji.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2015CB921501) and the National Natural Science Foundation of China (Grant Nos. 11774260, 51671057, and 11874120).

Spin torque nano-oscillators with a perpendicular spin polarizer

Cuixiu Zheng(郑翠秀)¹, Hao-Hsau Chen(陈浩轩)², Xiangli Zhang(张祥丽)², Zongzhi Zhang(张宗芝)², Yaowen Liu(刘要稳)¹

1 Shanghai Key Laboratory for Special Artificial Microstructure Materials and Technology, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China;
2 Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China

Received:2019-01-08 Revised:2019-01-25 Online:2019-03-05 Published:2019-03-05
Contact: Yaowen Liu E-mail:yaowen@tongji.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2015CB921501) and the National Natural Science Foundation of China (Grant Nos. 11774260, 51671057, and 11874120).

摘要/Abstract

摘要： We present an overview in the understanding of spin-transfer torque (STT) induced magnetization dynamics in spin-torque nano-oscillator (STNO) devices. The STNO contains an in-plane (IP) magnetized free layer and an out-of-plane (OP) magnetized spin polarizing layer. After a brief introduction, we first use mesoscopic micromagnetic simulations, which are based on the Landau-Lifshitz-Gilbert equation including the STT effect, to specify how a spin-torque term may tune the magnetization precession orbits of the free layer, showing that the oscillator frequency is proportional to the current density and the z-component of the free layer magnetization. Next, we propose a pendulum-like model within the macrospin approximation to describe the dynamic properties in such type of STNOs. After that, we further show the procession dynamics of the STNOs excited by IP and OP dual spin-polarizers. Both the numerical simulations and analytical theory indicate that the precession frequency is linearly proportional to the spin-torque of the OP polarizer only and is irrelevant to the spin-torque of the IP polarizer. Finally, a promising approach of coordinate transformation from the laboratory frame to the rotation frame is introduced, by which the nonstationary OP magnetization precession process is therefore transformed into the stationary process in the rotation frame. Through this method, a promising digital frequency shift-key modulation technique is presented, in which the magnetization precession can be well controlled at a given orbit as well as its precession frequency can be tuned with the co-action of spin polarized current and magnetic field (or electric field) pulses.

关键词: spin torque nano-oscillators (STNOs), spin-transfer torque effect, magnetic simulation

Abstract: We present an overview in the understanding of spin-transfer torque (STT) induced magnetization dynamics in spin-torque nano-oscillator (STNO) devices. The STNO contains an in-plane (IP) magnetized free layer and an out-of-plane (OP) magnetized spin polarizing layer. After a brief introduction, we first use mesoscopic micromagnetic simulations, which are based on the Landau-Lifshitz-Gilbert equation including the STT effect, to specify how a spin-torque term may tune the magnetization precession orbits of the free layer, showing that the oscillator frequency is proportional to the current density and the z-component of the free layer magnetization. Next, we propose a pendulum-like model within the macrospin approximation to describe the dynamic properties in such type of STNOs. After that, we further show the procession dynamics of the STNOs excited by IP and OP dual spin-polarizers. Both the numerical simulations and analytical theory indicate that the precession frequency is linearly proportional to the spin-torque of the OP polarizer only and is irrelevant to the spin-torque of the IP polarizer. Finally, a promising approach of coordinate transformation from the laboratory frame to the rotation frame is introduced, by which the nonstationary OP magnetization precession process is therefore transformed into the stationary process in the rotation frame. Through this method, a promising digital frequency shift-key modulation technique is presented, in which the magnetization precession can be well controlled at a given orbit as well as its precession frequency can be tuned with the co-action of spin polarized current and magnetic field (or electric field) pulses.

Key words: spin torque nano-oscillators (STNOs), spin-transfer torque effect, magnetic simulation

中图分类号: (Micromagnetic simulations ?)

75.78.Cd

85.70.Ay (Magnetic device characterization, design, and modeling) 75.30.Ds (Spin waves)

郑翠秀, 陈浩轩, 张祥丽, 张宗芝, 刘要稳. Spin torque nano-oscillators with a perpendicular spin polarizer[J]. 中国物理B, 2019, 28(3): 37503-037503.

Cuixiu Zheng(郑翠秀), Hao-Hsau Chen(陈浩轩), Xiangli Zhang(张祥丽), Zongzhi Zhang(张宗芝), Yaowen Liu(刘要稳). Spin torque nano-oscillators with a perpendicular spin polarizer[J]. Chin. Phys. B, 2019, 28(3): 37503-037503.

参考文献 64

[1]	Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1
[2]	Berger L 1996 Phys. Rev. B 54 9353 doi: 10.1103/PhysRevB.54.9353
[3]	Katine J A, Albert F J, Buhrman R A, Myers E B and Ralph D C 2000 Phys. Rev. Lett. 84 3149 doi: 10.1103/PhysRevLett.84.3149
[4]	Liu Y, Zhang Z, Freitas P P and Martins J L 2003 Appl. Phys. Lett. 82 2871 doi: 10.1063/1.1569044
[5]	Slaughter J M, Rizzo N D, Janesky J, Whig R, Mancoff F B, Houssameddine D, Sun J J, Aggarwal S, Nagel K, Deshpande S, Alam S M, Andre T and LoPresti P 2012 International Electron Devices Meeting, December 10-13, 2012, San Francisco, CA, pp. 29.3.1-29.3.4
[6]	Huai Y 2018 AAPPS Bull. 18 33
[7]	Silva T J and Rippard W H 2008 J. Magn. Magn. Mater. 320 1260 doi: 10.1016/j.jmmm.2007.12.022
[8]	Chen T, Dumas R K, Eklund A, Muduli P K, Houshang A, Awad A A, Malm B G, Rusu A J and kerman 2016 Proc. IEEE 104 1919 doi: 10.1109/JPROC.2016.2554518
[9]	Kiselev S I, Sankey J C, Krivorotov I N, Emley N C, Schoelkopf R J, Buhrman R A and Ralph D C 2003 Nature 425 380 doi: 10.1038/nature01967
[10]	Rippard W H, Pufall M R, Kaka S, Russek S E and Silva T J 2004 Phys. Rev. Lett. 92 027201 doi: 10.1103/PhysRevLett.92.027201
[11]	Pribiag V S, Krivorotov I N, Fuchs G D, Braganca P M, Ozatay O, Sankey J C, Ralph D C and Buhrman R A 2007 Nat. Phys. 3 498 doi: 10.1038/nphys619
[12]	Hoefer M A, Sommacal M and Silva T J 2012 Phys. Rev. B 85 214433 doi: 10.1103/PhysRevB.85.214433
[13]	Mohseni S M, Sani S R, Persson J, Nguyen T N A, Chung S, Pogoryelov Y, Muduli P K, Iacocca E, Eklund A, Dumas R K, Bonetti S, Deac A, Hoefer M A and Åkerman J 2013 Science 339 1295 doi: 10.1126/science.1230155
[14]	Xiao D, Liu Y, Zhou Y, Mohseni S M, Chung S and Åkerman J 2016 Phys. Rev. B 93 094431 doi: 10.1103/PhysRevB.93.094431
[15]	Xiao D, Tiberkevich V, Liu Y H, Liu Y W, Mohseni S M, Chung S, Ahlberg M, Slavin A N, Åkerman J and Zhou Y 2017 Phys. Rev. B 95 024106 doi: 10.1103/PhysRevB.95.024106
[16]	Deac A M, Fukushima A, Kubota H, Maehara H, Suzuki Y, Yuasa S, Nagamine Y, Tsunekawa K, Djayaprawira D D and Watanabe N 2008 Nat. Phys. 4 803 doi: 10.1038/nphys1036
[17]	Ryo H, Hitoshi K, Sumito T, Shingo T, Kay Y, Akio F, Rie M, Hiroshi I and Shinji Y 2016 Appl. Phys. Express 9 053006 doi: 10.7567/APEX.9.053006
[18]	Kaka S, Pufall M R, Rippard W H, Silva T J, Russek S E and Katine J A 2005 Nature 437 389 doi: 10.1038/nature04035
[19]	Mancoff F B, Rizzo N D, Engel B N and Tehrani S 2005 Nature 437 393 doi: 10.1038/nature04036
[20]	Slavin A N and Tiberkevich V S 2006 Phys. Rev. B 74 104401 doi: 10.1103/PhysRevB.74.104401
[21]	Pufall M R, Rippard W H, Russek S E, Kaka S and Katine J A 2006 Phys. Rev. Lett. 97 087206 doi: 10.1103/PhysRevLett.97.087206
[22]	Chen X and Victora R H 2009 Phys. Rev. B 79 180402 doi: 10.1103/PhysRevB.79.180402
[23]	Tiberkevich V, Slavin A, Bankowski E and Gerhart G 2009 Appl. Phys. Lett. 95 262505 doi: 10.1063/1.3278602
[24]	Ruotolo A, Cros V, Georges B, Dussaux A, Grollier J, Deranlot C, Guillemet R, Bouzehouane K, Fusil S and Fert A 2009 Nat. Nanotech. 4 528 doi: 10.1038/nnano.2009.143
[25]	Kendziorczyk T and Kuhn T 2016 Phys. Rev. B 93 134413 doi: 10.1103/PhysRevB.93.134413
[26]	Houshang A, Iacocca E, Durrenfeld P, Sani S R, Akerman J and Dumas R K 2016 Nat. Nanotech. 11 280 doi: 10.1038/nnano.2015.280
[27]	Grollier J, Cros V and Fert A 2006 Phys. Rev. B 73 060409 doi: 10.1103/PhysRevB.73.060409
[28]	Chen H, Chang J and Chang C 2011 SPIN 01 1
[29]	Chen H H, Lee C M, Zhang Z, Liu Y, Wu J C, Horng L and Chang C R 2016 Phys. Rev. B 93 224410 doi: 10.1103/PhysRevB.93.224410
[30]	Zeng Z, Amiri P K, Krivorotov I N, Zhao H, Finocchio G, Wang J P, Katine J A, Huai Y, Langer J, Galatsis K, Wang K L and Jiang H 2012 ACS Nano 6 6115 doi: 10.1021/nn301222v
[31]	Hiroki M, Hitoshi K, Yoshishige S, Takayuki S, Kazumasa N, Yoshinori N, Koji T, Akio F, Alina M D, Koji A and Shinji Y 2013 Appl. Phys. Express 6 113005 doi: 10.7567/APEX.6.113005
[32]	Tsunegi S, Yakushiji K, Fukushima A, Yuasa S and Kubota H 2016 Appl. Phys. Lett. 109 252402 doi: 10.1063/1.4972305
[33]	Kent A D, Özyilmaz B and del Barco E 2004 Appl. Phys. Lett. 84 3897 doi: 10.1063/1.1739271
[34]	Lee K J, Redon O and Dieny B 2005 Appl. Phys. Lett. 86 022505 doi: 10.1063/1.1852081
[35]	Houssameddine D, Ebels U, Delaet B, Rodmacq B, Firastrau I, Ponthenier F, Brunet M, Thirion C, Michel J P, Prejbeanu-Buda L, Cyrille M C, Redon O and Dieny B 2007 Nat. Mater. 6 447 doi: 10.1038/nmat1905
[36]	Zeng Z, Finocchio G, Zhang B, Amiri P K, Katine J A, Krivorotov I N, Huai Y, Langer J, Azzerboni B, Wang K L and Jiang H 2013 Sci. Rep. 3 1426 doi: 10.1038/srep01426
[37]	Guo P, Feng J, Wei H, Han X, Fang B, Zhang B and Zeng Z 2015 Appl. Phys. Lett. 106 012402 doi: 10.1063/1.4905491
[38]	Wang X, Feng J, Guo P, Wei H X, Han X F, Fang B and Zeng Z M 2017 J. Magn. Magn. Mater. 443 239 doi: 10.1016/j.jmmm.2017.07.075
[39]	Quinsat M, Tiberkevich V, Gusakova D, Slavin A, Sierra J F, Ebels U, Buda-Prejbeanu L D, Dieny B, Cyrille M C, Zelster A and Katine J A 2012 Phys. Rev. B 86 104418 doi: 10.1103/PhysRevB.86.104418
[40]	Tamaru S, Kubota H, Yakushiji K, Yuasa S and Fukushima A 2016 Sci. Rep. 5 18134 doi: 10.1038/srep18134
[41]	Gusakova D, Quinsat M, Sierra J F, Ebels U, Dieny B, Buda-Prejbeanu L D, Cyrille M C, Tiberkevich V and Slavin A N 2011 Appl. Phys. Lett. 99 052501 doi: 10.1063/1.3615283
[42]	Slavin A and Tiberkevich V 2009 IEEE. Trans. Magn. 45 1875 doi: 10.1109/TMAG.2008.2009935
[43]	Manfrini M, Devolder T, Kim J V, Crozat P, Chappert C, Van Roy W and Lagae L 2011 J. Appl. Phys. 109 083940 doi: 10.1063/1.3581099
[44]	Zhang X, Chen H H, Zhang Z and Liu Y 2018 J. Magn. Magn. Mater. 452 458 doi: 10.1016/j.jmmm.2017.12.063
[45]	Choi H S, Kang S Y, Cho S J, Oh I Y, Shin M, Park H, Jang C, Min B C, Kim S I, Park S Y and Park C S 2015 Sci. Rep. 4 5486 doi: 10.1038/srep05486
[46]	Liu Y and Zhang Z 2013 Sci. Chin. Phys. Mech. Astron. 56 184 doi: 10.1007/s11433-012-4958-4
[47]	Li Z, Zhang S, Diao Z, Ding Y, Tang X, Apalkov D M, Yang Z, Kawabata K and Huai Y 2008 Phys. Rev. Lett. 100 246602 doi: 10.1103/PhysRevLett.100.246602
[48]	Sankey J C, Cui Y T, Sun J Z, Slonczewski J C, Buhrman R A and Ralph D C 2008 Nat. Phys. 4 67 doi: 10.1038/nphys783
[49]	Kubota H, Fukushima A, Yakushiji K, Nagahama T, Yuasa S, Ando K, Maehara H, Nagamine Y, Tsunekawa K, Djayaprawira D D, Watanabe N and Suzuki Y 2008 Nat. Phys. 4 37 doi: 10.1038/nphys784
[50]	Zhu W, Zhang Z, Zhang J and Liu Y 2015 SPIN 05 1550003 doi: 10.1142/S2010324715500034
[51]	Covington M 2005 Science 307 215 doi: 10.1126/science.1107610
[52]	Lee K J, Deac A, Redon O, Nozieres J P and Dieny B 2004 Nat. Mater. 3 877 doi: 10.1038/nmat1237
[53]	Ebels U, Houssameddine D, Firastrau I, Gusakova D, Thirion C, Dieny B and Buda-Prejbeanu L D 2008 Phys. Rev. B 78 024436 doi: 10.1103/PhysRevB.78.024436
[54]	Wei Jin, Yaowen Liu and Chen H 2006 IEEE. Trans. Magn. 42 2682 doi: 10.1109/TMAG.2006.879737
[55]	Chen H H, Zhang Z, Chang C R and Liu Y 2017 J. Appl. Phys. 121 013902 doi: 10.1063/1.4972834
[56]	Chen H H, Zhang Z, Liu Y and Chang C R 2015 IEEE. Trans. Magn. 51 1401104
[57]	Seki T, Mitani S, Yakushiji K and Takanashi K 2006 Appl. Phys. Lett. 89 172504 doi: 10.1063/1.2369648
[58]	Lee O J, Pribiag V S, Braganca P M, Gowtham P G, Ralph D C and Buhrman R A 2009 Appl. Phys. Lett. 95 012506 doi: 10.1063/1.3176938
[59]	Liu H, Bedau D, Backes D, Katine J A, Langer J and Kent A D 2010 Appl. Phys. Lett. 97 242510 doi: 10.1063/1.3527962
[60]	Rahman M T, Lyle A, Amiri P K, Harms J, Glass B, Zhao H, Rowlands G, Katine J A, Langer J, Krivorotov I N, Wang K L and Wang J P 2012 J. Appl. Phys. 111 07C907
[61]	Rowlands G E, Rahman T, Katine J A, Langer J, Lyle A, Zhao H, Alzate J G, Kovalev A A, Tserkovnyak Y, Zeng Z M, Jiang H W, Galatsis K, Huai Y M, Amiri P K, Wang K L, Krivorotov I N and Wang J P 2011 Appl. Phys. Lett. 98 102509 doi: 10.1063/1.3565162
[62]	Zhang H, Hou Z, Zhang J, Zhang Z and Liu Y 2012 Appl. Phys. Lett. 100 142409 doi: 10.1063/1.3700724
[63]	Slonczewski J C 2002 J. Magn. Magn. Mater. 247 324 doi: 10.1016/S0304-8853(02)00291-3
[64]	Chen H H, Zeng L, Zhao W and Liu Y 2018 SPIN 08 1850013 doi: 10.1142/S2010324718500133

Spin torque nano-oscillators with a perpendicular spin polarizer

Spin torque nano-oscillators with a perpendicular spin polarizer

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