Trajectory and frequency of vortex gyration in a multi-nanocontact geometry

doi:10.1088/1674-1056/24/4/047501

Abstract

Nonlinear vortex gyrotropic motion in a three-nanocontacts system is investigated by micromagnetic simulations and analytical calculations. Three out-of-plane spin-polarized currents are injected into a nanodisk through a centered nanocontact and two off-centered nanocontacts, respectively. For current combination (i_p1, i_p0, i_p2)=(-1, 1, -1), the trajectory of the vortex core is a peanut-like orbit, but it is an elliptical orbit for (i_p1, i_p0, i_p2)=(1, 1, -1). Moreover, the gyrotropic frequency displays peaks for both current combinations. Analytical calculations based on the Thiele equation show that the changes of frequency can be ascribed mainly to the forces generated by the Oersted field accompanying the currents. We also demonstrate a dependence of eigenfrequency shifts on the direction and distance of the applied currents.

Keywords: vortex core spin-polarized current Oersted field Thiele' s equation

Received: 16 October 2014
Revised: 12 November 2014
Accepted manuscript online:

PACS:	75.40.Mg	(Numerical simulation studies)
	72.25.Dc	(Spin polarized transport in semiconductors)
	11.40.-q	(Currents and their properties)
	75.75.-c	(Magnetic properties of nanostructures)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11404053) and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant No. n130405011).

Corresponding Authors: Liu Yan
E-mail: liuyanphys@mail.neu.edu.cn

Cite this article:

Li Hua-Nan (李化南), Liu Yan (柳艳), Jia Min (贾敏), Du An (杜安) Trajectory and frequency of vortex gyration in a multi-nanocontact geometry 2015 Chin. Phys. B 24 047501

[1]	Bohlens S, Kruger B, Drews A, Bolte M, Meier G and Pfannkuche D 2008 Appl. Phys. Lett. 93 142508
[2]	Kimura T, Otani Y, Masaki H, Ishida T, Antos R and Shibata J 2007 Appl. Phys. Lett. 90 132501
[3]	Slonczewski J C 1996 J. Magn. Magn. Mater. 159 L1
[4]	Slonczewski J C 1997 U. S. Patent No. 5, 695, 864
[5]	Devolder T, Kim J V, Crozat P, Chappert C, Manfrini M, van Kampen M, Van Roy W, Lagae L, Hrkac G and Schrefl T 2009 Appl. Phys. Lett. 95 012507
[6]	Pigeau B, de Loubens G, Klein O, Riegler A, Lochner F, Schmidt G, Molenkamp L W, Tiberkevich V S and Slavin A N 2010 Appl. Phys. Lett. 96 132506
[7]	Kim D H, Rozhkova E A, Ulasov I V, Bader S D, Rajh T, Lesniak M S and Novosad V 2010 Nat. Mater. 9 165
[8]	Yu J, Huang D Y, Yousaf M Z, Hou Y L and Gao S 2013 Chin. Phys. B 22 027506
[9]	Park J P, Eames P, Engebretson D M, Berezovsky J and Crowell P A 2003 Phys. Rev. B 67 020403
[10]	Guslienko K Y, Ivanov B A, Novosad V, Otani Y, Shima H and Fukamichi K 2002 J. Appl. Phys. 91 8037
[11]	Lü D L and Xu C 2010 Chin. Phys. Lett. 27 097503
[12]	Lehndorff R, Burgler D E, Gilga S, Hertel R, Grunberg P and Schneider C M 2009 Phys. Rev. B 80 054412
[13]	Kasai S, Nakatani Y, Kobayashi K, Kohno H and Ono T 2006 Phys. Rev. Lett. 97 107204
[14]	Khvalkovskiy A V, Grollier J, Dussaux A, Zvezdin K A and Cros V 2009 Phys. Rev. B 80 140401
[15]	Choi Y S, Kim S K, Lee K S and Yu Y S 2008 Appl. Phys. Lett. 93 182508
[16]	Rowlands G E and Krivorotov I N 2012 Phys. Rev. B 86 094425
[17]	Jin W, He H, Chen Y G and Liu Y W 2009 J. Appl. Phys. 105 013906
[18]	Mistral Q, van Kampen M, Hrkac G, Kim J V, Devolder T, Crozat P, Lagae L and Schrefl T 2008 Phys. Rev. Lett. 100 257201
[19]	Manfrini M, Devolder T, Kim J V, Crozat P, Zerounian N, Chappert C, Van Roy W, Lagae L, Hrkac G and Schrefl T 2009 Appl. Phys. Lett. 95 192507
[20]	Berkov D V and Gorn N L 2009 Phys. Rev. B 80 064409
[21]	Finocchio G, Ozatay O, Torres L, Buhrman R A, Ralph D C and Azzerboni B 2008 Phys. Rev. B 78 174408
[22]	Jaromirska E, Lopez-Diaz L, Ruotolo A, Grollier J, Cros V and Berkov D 2011 Phys. Rev. B 83 094419
[23]	Liu Y, Li H N, Hu Y and Du A 2012 J. Appl. Phys. 112 093905
[24]	Kim W W and Lee K J 2013 Curr. Appl. Phys. 13 890
[25]	Kuepferling M, Serpico C, Pufall M, Rippard W, Wallis T M, lmtiaz A, Krivosik P, Pasquale M and Kabos P 2010 Appl. Phys. Lett. 96 252507
[26]	Liu Y, Li H N, Hu Y and Du A 2013 Phys. Status Solidi B 8 1584
[27]	Sun C Y and Wang Z C 2010 Chin. Phys. Lett. 27 077501
[28]	Wang C, Cui Y T, Katine J A, Buhrman R A and Ralph D C 2011 Nat. Phys. 7 496
[29]	Yakata S, Miyata M, Honda S, ltoh H, Wada H and Kimura T 2011 Appl. Phys. Lett. 99 242507
[30]	Nakatani Y and Ono T 2011 Appl. Phys. Lett. 99 122509
[31]	Sani S R, Persson J, Mohseni S M, Fallahi V and Akerman J 2011 J. Appl. Phys. 109 07C913
[32]	Kaka S, Pufall M R, Rippard W H, Silva T J, Russek S E and Katine J A 2005 Nature 437 389
[33]	For details, see http://math. nist. gov/oommf
[34]	Li H N, Liu Y and Du A 2013 J. Magn. Magn. Mater. 341 45
[35]	Lee K S and Kim S K 2007 Appl. Phys. Lett. 91 132511
[36]	Liu Y W, He H and Zhang Z Z 2007 Appl. Phys. Lett. 91 242501
[37]	Watelot S P, Kim J V, Ruotolo A, Otxoa R M, Bouzehouane K, Grollier J, Vansteenkiste A, de Wiele B V, Cros V and Devolder T 2012 Nat. Phys. 8 682
[38]	Thiele A A 1973 Phys. Rev. Lett. 30 230

[1]	The coupled deep neural networks for coupling of the Stokes and Darcy-Forchheimer problems Jing Yue(岳靖), Jian Li(李剑), Wen Zhang(张文), and Zhangxin Chen(陈掌星). Chin. Phys. B, 2023, 32(1): 010201.
[2]	Influence of Dzyaloshinskii-Moriya interaction on the magnetic vortex reversal in an off-centered nanocontact geometry Hua-Nan Li(李化南), Tong-Xin Xue(薛彤鑫), Lei Chen(陈磊), Ying-Rui Sui(隋瑛瑞), and Mao-Bin Wei(魏茂彬)^†. Chin. Phys. B, 2022, 31(9): 097501.
[3]	Spin transfer nano-oscillator based on synthetic antiferromagnetic skyrmion pair assisted by perpendicular fixed magnetic field Yun-Xu Ma(马云旭), Jia-Ning Wang(王佳宁), Zhao-Zhuo Zeng(曾钊卓), Ying-Yue Yuan(袁映月), Jin-Xia Yang(杨金霞), Hui-Bo Liu(刘慧博), Sen-Fu Zhang(张森富), Jian-Bo Wang(王建波), Chen-Dong Jin(金晨东), and Qing-Fang Liu(刘青芳). Chin. Phys. B, 2022, 31(10): 100501.
[4]	Exact explicit solitary wave and periodic wave solutions and their dynamical behaviors for the Schamel-Korteweg-de Vries equation Bin He(何斌) and Qing Meng(蒙清). Chin. Phys. B, 2021, 30(6): 060201.
[5]	Lump and interaction solutions to the (3+1)-dimensional Burgers equation Jian Liu(刘健), Jian-Wen Wu(吴剑文). Chin. Phys. B, 2020, 29(3): 030201.
[6]	Alternative constitutive relation for momentum transport of extended Navier-Stokes equations Guo-Feng Han(韩国锋), Xiao-Li Liu(刘晓丽), Jin Huang(黄进), Kumar Nawnit, and Liang Sun(孙亮). Chin. Phys. B, 2020, 29(12): 124701.
[7]	Magnetic vortex gyration mediated by point-contact position Hua-Nan Li(李化南), Zi-Wei Fan(笵紫薇), Jia-Xin Li(李佳欣), Yue Hu(胡月), Hui-Lian Liu(刘惠莲). Chin. Phys. B, 2019, 28(10): 107503.
[8]	A nonlocal Burgers equation in atmospheric dynamical system and its exact solutions Xi-Zhong Liu(刘希忠), Jun Yu(俞军), Zhi-Mei Lou(楼智美), Xian-Min Qian(钱贤民). Chin. Phys. B, 2019, 28(1): 010201.
[9]	Approximate expression of Young's equation and molecular dynamics simulation for its applicability Shu-Wen Cui(崔树稳), Jiu-An Wei(魏久安), Wei-Wei Liu(刘伟伟), Ru-Zeng Zhu(朱如曾), Qian Ping(钱萍). Chin. Phys. B, 2019, 28(1): 016801.
[10]	Current-induced synchronized magnetization reversal of two-body Stoner particles with dipolar interaction Zhou-Zhou Sun(孙周洲), Yu Yang(杨玉), J Schliemann. Chin. Phys. B, 2018, 27(6): 067501.
[11]	Solitary wave for a nonintegrable discrete nonlinear Schrödinger equation in nonlinear optical waveguide arrays Li-Yuan Ma(马立媛), Jia-Liang Ji(季佳梁), Zong-Wei Xu(徐宗玮), Zuo-Nong Zhu(朱佐农). Chin. Phys. B, 2018, 27(3): 030201.
[12]	Photon-mediated spin-polarized current in a quantum dot under thermal bias Feng Chi(迟锋), Liming Liu(刘黎明), Lianliang Sun(孙连亮). Chin. Phys. B, 2017, 26(3): 037304.
[13]	Faster vortex core switching with lower current density using three-nanocontact spin-polarized currents in a confined structure Hua-Nan Li(李化南), Zhong Hua(华中), Dong-Fei Li(李东飞). Chin. Phys. B, 2017, 26(1): 017502.
[14]	Current and efficiency optimization under oscillating forces in entropic barriers Ferhat Nutku, Ekrem Aydiner. Chin. Phys. B, 2016, 25(9): 090501.
[15]	Electro-optic response in thin smectic C^* film with chevron structures Aleksey A Kudreyko, Nail G Migranov, Dana N Migranova. Chin. Phys. B, 2016, 25(12): 126101.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Trajectory and frequency of vortex gyration in a multi-nanocontact geometry

Cite this article:

Online attention