Exchange interaction between vortex and antivortex

doi:10.1088/1674-1056/23/8/087501

›› 2014, Vol. 23 ›› Issue (8): 87501-087501.doi: 10.1088/1674-1056/23/8/087501

• SPECIAL TOPI—International Conference on Nanoscience & Technology, China 2013 • 上一篇下一篇

Exchange interaction between vortex and antivortex

柳艳, 李化南, 胡勇, 杜安

College of Sciences, Northeastern University, Shenyang 110819, China

收稿日期:2013-09-04 修回日期:2014-03-18 出版日期:2014-08-15 发布日期:2014-08-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11204026) and the Fundamental Research Funds for Central Universities of the Ministry of Education of China (Grant No. n130405011).

Exchange interaction between vortex and antivortex

Liu Yan (柳艳), Li Hua-Nan (李化南), Hu Yong (胡勇), Du An (杜安)

College of Sciences, Northeastern University, Shenyang 110819, China

Received:2013-09-04 Revised:2014-03-18 Online:2014-08-15 Published:2014-08-15
Contact: Liu Yan E-mail:liuyanphys@mail.neu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11204026) and the Fundamental Research Funds for Central Universities of the Ministry of Education of China (Grant No. n130405011).

摘要/Abstract

摘要： The dynamic properties of interacting vortex-antivortex pairs in thin film are studied by analytical calculations. Analytical expressions for the magnetization vector distribution of vortex-antivortex pairs and the trivortex states are given. The magnetic states of the vortices are treated as having rigid structures, i.e., the vortex maintains its spin distribution when moving. The trajectories of the vortex cores are calculated by the Thiele's equation. It is found that the vortex-antivortex pair rotates around each other when they have opposite polarities, however, vortex and antivortex cores move along straight lines when they have the same polarity. The frequency of the rotation decreases with increasing the distance between the two cores of vortex-antivortex pair, and it has a lower value when a third vortex is introduced.

关键词: vortex-antivortex, exchange interaction, Thiele’, s equation

Abstract: The dynamic properties of interacting vortex-antivortex pairs in thin film are studied by analytical calculations. Analytical expressions for the magnetization vector distribution of vortex-antivortex pairs and the trivortex states are given. The magnetic states of the vortices are treated as having rigid structures, i.e., the vortex maintains its spin distribution when moving. The trajectories of the vortex cores are calculated by the Thiele's equation. It is found that the vortex-antivortex pair rotates around each other when they have opposite polarities, however, vortex and antivortex cores move along straight lines when they have the same polarity. The frequency of the rotation decreases with increasing the distance between the two cores of vortex-antivortex pair, and it has a lower value when a third vortex is introduced.

Key words: vortex-antivortex, exchange interaction, Thiele’s equation

中图分类号: (Numerical simulation studies)

75.40.Mg

75.60.Ch (Domain walls and domain structure)

柳艳, 李化南, 胡勇, 杜安. Exchange interaction between vortex and antivortex[J]. , 2014, 23(8): 87501-087501.

Liu Yan (柳艳), Li Hua-Nan (李化南), Hu Yong (胡勇), Du An (杜安). Exchange interaction between vortex and antivortex[J]. Chin. Phys. B, 2014, 23(8): 87501-087501.

参考文献 24

[1]	Guslienko K Y, Ivanov B A, Novosad V, Otani Y, Shima H and Fukamichi K 2002 J. Appl. Phys. 91 8037
[2]	Okuno T, Mibu K and Shinjo T 2004 J. Appl. Phys. 95 3621
[3]	Lee K S, Kang B W, Yu Y S and Kim S K 2004 Appl. Phys. Lett. 85 1568
[4]	Choe S B, Acremann Y, Scholl A, Bauer A, Doran A, Stohr J and Padmore H 2004 Science 304 420
[5]	Neudert A, McCord J, Schneider R and Schultz L 2005 J. Appl. Phys. 97 10E701
[6]	Guslienko K Y, Novosad V, Otani Y, Shima Y and Fukamichi K 2001 Phys. Rev. B 65 024414
[7]	Jubert P O and Allenspach R 2004 Phys. Rev. B 70 144402
[8]	Wu K M, Wang J F, Wu Y H, Lee C M, Wu J C and Horng L 2008 J. Appl. Phys. 103 07F314
[9]	Kimura T, Otani Y, Masaki H, Ishida T, Antos R and Shibata J 2007 Appl. Phys. Lett. 90 132501
[10]	Xing X J, Yu Y P, Wu S X, Xu L M and Li S W 2008 Appl. Phys. Lett. 93 202507
[11]	Lee K S, Choi S K and Kim S K 2005 Appl. Phys. Lett. 87 192502
[12]	Krüger B, Drews A, Bolte M, Merkt U, Pfannkuche D and Meier G 2008 J. Appl. Phys. 103 07A501
[13]	Gliga S, Hertel R and Schneider C M 2008 J. Appl. Phys. 103 07B115
[14]	Lee K S, Kang B W, Yu Y S and Kim S K 2004 Appl. Phys. Lett. 85 1568
[15]	Neudert A, McCord J, Schäfer R, Kaltofen R and Mönch I 2006 J. Appl. Phys. 99 08F302
[16]	Tretiakov O A and Tchernyshyov O 2007 Phys. Rev. B 75 012408
[17]	Papanicolaou N and Zakrzewski W J 1995 Physica D 80 225
[18]	Komineas S 2007 Phys. Rev. Lett. 99 117202
[19]	Gaididei Y B, Kravchuk V P, Sheka D D and Mertens F G 2008 Low Temp. Phys. 34 528
[20]	Thiele A A 1973 Phys. Rev. Lett. 30 230
[21]	Kuepper K, Buess M, Raabe J, Quitmann C and Fassbender J 2007 Phys. Rev. Lett. 99 167202
[22]	Van Waeyenberge B, Puzic A, Stoll H, Chou K W, Tyliszczak T, Hertel R, Fahnle M, Bruckl H, Rott K, Reiss G, Neudecker I, Weiss D, Back C H and Schutz G 2006 Nature 444 461
[23]	Hertel R, Gliga S, Fahnle M and Schneider C M 2007 Phys. Rev. Lett. 98 117201
[24]	Lee K S, Guslienko K Y, Lee J Y and Kim S K 2007 Phys. Rev. B 76 174410

Exchange interaction between vortex and antivortex

Exchange interaction between vortex and antivortex

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