磁斯格明子的微磁学研究进展和应用

金晨东; 宋承昆; 王金帅; 王建波; 刘青芳

doi:10.7498/aps.67.20180165

摘要

磁斯格明子作为一种具有拓扑保护性质的准粒子受到了磁学与磁性材料领域科学家的广泛关注.本文对磁斯格明子的拓扑性质进行了概述，回顾了磁斯格明子的存在条件以及运输特性，综述了近年来利用微磁学模拟研究的磁斯格明子激发、操控、微波磁场响应以及基于磁斯格明子的器件设计，主要包括赛道存储器、自旋纳米振荡器、晶体管和逻辑门.通过本文的综述，希望为磁斯格明子在未来信息领域的应用提供参考.

关键词:

Magnetic skyrmion, as a quasi-particle, with topologically protected property has received wide attention. In this article, We first review the existence conditions and transport characteristics of magnetic skyrmions theoretically, then view recent micromagnetic simulation researches on creation and controlling as well as the device design, which includes racetrack memories, spin transfer nano-oscillators, transistors and logic gates. We hope this paper can provide a reference for the applications of magnetic skyrmions in the future.

Keywords:

作者及机构信息

1.
兰州大学, 磁学与磁性材料教育部重点实验室, 兰州 730000;

2.
兰州大学, 特殊功能材料与结构设计教育部重点实验室, 兰州 730000

通信作者: 刘青芳, liuqf@lzu.edu.cn

基金项目: 国家自然科学基金（批准号：11574121，51771086）资助的课题.

Authors and contacts

1.
Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China;

2.
Key Laboratory for Special Function Materials and Structural Design of the Ministry of the Education, Lanzhou University, Lanzhou 730000, China

Corresponding author: Liu Qing-Fang, liuqf@lzu.edu.cn

Funds: Project supported by the National Natural Science Fundation of China (Grant Nos. 11574121, 51771086).

参考文献

[1]	Skyrme T H R 1962 Nucl. Phys. 31 556
[2]	Sondhi S L, Karlhede A, Kivelson S A, Rezayi E H 1993 Phys. Rev. B 47 16419
[3]	AlKhawaja U, Stoof H 2001 Nature 411 918
[4]	Bogdanov A N, Rossler U K, Shestakov A A 2003 Phys. Rev. E 67 016602
[5]	Malozemoff A P, Slonczewski J C 1979 Magnetic Domain Walls in Bubble Materials (New York: Academic)
[6]	Rler U, Bogdanov A, Pfleiderer C 2006 Nature 442 797
[7]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[8]	Nagaosa N, Tokura Y 2013 Nature Nanotech. 8 899
[9]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241
[10]	Moriya T 1960 Phys. Rev. 120 91
[11]	Crpieux A, Lacroix C 1998 J. Magn. Magn. Mater. 182 341
[12]	Du H F, Liang D, Jin C M, Kong L Y, Stolt M J, Ning W, Yang J Y, Xing Y, Wang J, Che R, Zang J D, Jin S, Zhang Y H, Tian M L 2015 Nature Commun. 6 7637
[13]	Yu X Z, Onose Y, Kanazawa N, Park J H, Han J H, Matsui Y, Nagaosa N, Tokura Y 2010 Nature 465 901
[14]	Milde P, Khler D, Seidel J, Eng L, Bauer A, Chacon A, Kindervater J, Mhlbauer S, Pfleiderer C, Buhrandt S, Schtte C, Rosch A 2013 Science 340 1076
[15]	Park H S, Yu X Z, Aizawa S, Tanigaki T, Akashi T, Takahashi Y, Matsuda T, Kanazawa N, Onose Y, Shindo D, Tonomura A, Tokura Y 2014 Nature Nanotech. 9 337
[16]	Yu X Z, Kanazawa N, Onose Y, Kimoto K, Zhang W Z, Ishiwata S, Matsui Y, Tokura Y 2011 Nature Mater. 10 106
[17]	Yu X Z, Kanazawa N, Zhang W Z, Nagai T, Hara T, Kimoto K, Matsui Y, Onose Y, Tokura Y 2012 Nature Commun. 3 988
[18]	Zhao X B, Jin C M, Wang C, Du H F, Zang J D, Tian M L, Che R C, Zhang Y 2016 Proc. Natl. Acad. Sci. USA 113 4918
[19]	Wang C, Du H F, Zhao X B, Jin C M, Tian M L, Zhang Y H, Che R C 2017 Nano Lett. 17 2921
[20]	Seki S, Yu X Z, Ishiwata S, Tokura Y 2012 Science 336 198
[21]	Heinze S, von Bergmann K, Menzel M, Brede J, Kubetzka A, Wiesendanger R, Bihlmayer G, Blgel S 2011 Nature Phys. 7 713
[22]	Jiang W J, Upadhyaya P, Zhang W, Yu G Q, Jungfleisch M B, Fradin F Y, Pearson J E, Tserkovnyak Y, Wang K L, Heinonen O, Velthuis S G E, Hoffmann A 2015 Science 349 283
[23]	Boulle O, Vogel J, Yang H X, Pizzini S, de Souza Chaves D, Locatelli A, Mentes T O, Sala A, Buda-Prejbeanu L D, Klein O, Belmeguenai M, Roussign Y, Stashkevich A, Chrif S M, Avalle L, Foerster M, Chshiev M, Auffret S, Miron I M, Gaudin G 2016 Nature Nanotech. 11 449
[24]	Hou Z P, Ren W J, Ding B, Xu G Z, Wang Y, Yang B, Zhang Q, Zhang Y, Liu E, Xu F, Wang W H, Wu G H, Zhang X X, Shen B G, Zhang Z D 2017 Adv. Mater. 29 29
[25]	Hou Z P, Zhang Q, Xu G Z, Gong C, Ding B, Wang Y, Li H, Liu E, Xu F, Zhang H W, Yao Y, Wu G H, Zhang X X, Wang W H 2018 Nano Lett. 18 1274
[26]	Zhang S, Petford-Long A K, Phatak C 2016 Sci. Reports 6 31248
[27]	Nayak A K, Kumar V, Ma T, Werner P, Pippel E, Sahoo R, Damay F, Rler U K, Felser C, Parkin S S P 2017 Nature 548 561
[28]	Yu X Z, Tokunaga Y, Kaneko Y, Zhang W Z, Kimoto K, Matsui Y, Taguchi Y, Tokura Y 2014 Nature Commun. 5 3198
[29]	Wang W H, Zhang Y, Xu G Z, Peng L C, Ding B, Wang Y, Hou Z P, Zhang X M, Li X Y, Liu E K, Wang S G, Cai J W, Wang F W, Li J Q, Hu F X, Wu G H, Shen B G, Zhang X X 2016 Adv. Mater. 28 6887
[30]	Zhang X C, Zhou Y, Ezawa M 2016 Sci. Reports 6 24795
[31]	Barker J, Tretiakov O A 2016 Phys. Rev. Lett. 116 147203
[32]	Jin C D, Song C K, Wang J B, Liu Q F 2016 Appl. Phys. Lett. 109 182404
[33]	Fert A, Cros V, Sampaio J 2013 Nature Nanotech. 8 152
[34]	Sampaio J, Cros V, Rohart S, Thiaville A, Fert A 2013 Nature Nanotech. 8 839
[35]	Zhang X C, Zhou Y, Ezawa M, Zhao G P, Zhao W 2015 Sci. Reports 5 11369
[36]	Zhang X C, Ezawa M, Zhou Y 2015 Sci. Reports 5 9400
[37]	Zhang S F, Wang J B, Zheng Q, Zhu Q Y, Liu X Y, Chen S J, Jin C D, Liu Q F, Jia C L, Xue D S 2015 New J. Phys. 17 023061
[38]	Garcia-Sanchez F, Sampaio J, Reyren N, Cros V, Kim J V 2016 New J. Phys. 18 075011
[39]	Liu X Y, Zhu Q Y, Zhang S F, Liu Q F, Wang J B 2015 AIP Adv. 5 087137
[40]	Jin C D, Wang J B, Wang W W, Song C K, Wang J S, Xia H Y, Liu Q F 2018 Phys. Rev. Appl. 9 044007
[41]	Mochizuki M 2017 Appl. Phys. Lett. 111 092403
[42]	Du H F, Ning W, Tian M L, Zhang Y H 2013 Phys. Rev. B 87 014401
[43]	Liu Y, Yan H, Jia M, Du H F, Du A, Zang J D 2017 Phys. Rev. B 95 134442
[44]	Zhang B, Wang W W, Beg M, Fangohr H, Kuch W 2015 Appl. Phys. Lett. 106 102401
[45]	Wang W W, Beg M, Zhang B, Kuch W, Fangohr H 2015 Phys. Rev. B 92 020403
[46]	Zhang X C, Ezawa M, Xiao D, Zhao G P, Liu Y, Zhou Y 2015 Nanotechnology 26 225701
[47]	Mochizuki M 2016 Adv. Electron. Mater. 2 1500180
[48]	Brown W F 1959 J. Phys. Radium 20 101
[49]	Gilbert T L, Kelly J M 1955 Anomalous Rotational Damping in Ferromagnetic Sheets (New York: American Institute of Electrical Engineers) pp253-263
[50]	Gilbert T L 2004 IEEE Trans. Mag. 40 3443
[51]	Thiele A A 1973 Phys. Rev. Lett. 30 230
[52]	Bhowmik D, You L, Salahuddin S 2014 Nature Nanotech. 9 59
[53]	Jiang W J, Zhang X C, Yu G Q, Zhang W, Wang X, Jungfleisch M B, Pearson J E, Cheng X M, Heinonen O, Wang K L, Zhou Y, Hoffmann A, Velthuis S G E 2017 Nature Phys. 13 162
[54]	Litzius K, Lemesh I, Krger B, Bassirian P, Caretta L, Richter K, Bttner F, Sato K, Tretiakov O A, Frster J, Reeve R M, Weigand M, Bykova L, Stoll H, Schtz G, Beach G S D, Klui M 2017 Nature Phys. 13 170
[55]	Rojas-Sanchez J C, Reyren N, Laczkowski P, Savero W, Attane J P, Deranlot C, Jamet M, George J M, Vila L, Jaffrs H 2014 Phys. Rev. Lett. 112 106602
[56]	Iwasaki J, Mochizuki M, Nagaosa N 2013 Nature Nanotech. 8 742
[57]	Koshibae W, Nagaosa N 2014 Nature Commun. 5 5148
[58]	Zhou Y, Ezawa M 2014 Nature Commun. 5 4652
[59]	Liu Y Z, Yin G, Zang J D, Shi J, Lake R K 2015 Appl. Phys. Lett. 107 152411
[60]	Mller J, Rosch A, Garst M 2016 New J. Phys. 18 065006
[61]	Parkin S S P, Hayashi M, Thomas L 2008 Science 320 190
[62]	Zhu Q Y, Mu C P, Xia H Y, Wang W W, Wang J B, Liu Q F 2012 Physica B 407 4584
[63]	Jin C D, Zhang S F, Zhu Q Y, Liu X Y, Chen S J, Song C K, Wang J B, Liu Q F 2016 J. Phys. D: Appl. Phys. 49 175005
[64]	Martinez E, Emori S, Beach G S 2013 Appl. Phys. Lett. 103 072406
[65]	Zhang X C, Zhao G P, Fangohr H, Liu J P, Xia W X, Xia J, Morvan F J 2015 Sci. Reports 5 7643
[66]	Ding J J, Yang X F, Zhu T 2015 J. Phys. D: Appl. Phys. 48 115004
[67]	Tomasello R, Martinez E, Zivieri R, Torres L, Carpentieri M, Finocchio G 2014 Sci. Reports 4 6784
[68]	Rosch A 2013 Nature Nanotech. 8 160
[69]	Lin S Z, Reichhardt C, Batista C D, Saxena A 2013 Phys. Rev. B 87 214419
[70]	Everschor-Sitte K, Sitte M 2014 J. Appl. Phys. 115 172602
[71]	Zang J D, Mostovoy M, Han J H, Nagaosa N 2011 Phys. Rev. Lett. 107 136804
[72]	Chen G 2017 Nature Phys. 13 112
[73]	Liu Y, Yan H, Jia M, Du H F, Du A 2016 Appl. Phys. Lett. 109 102402
[74]	Purnama I, Gan W L, Wong D W, Lew W S 2015 Sci. Reports 5 10620
[75]	Upadhyaya P, Yu G, Amiri P K, Wang K L 2015 Phys. Rev. B 92 134411
[76]	Lai P, Zhao G P, Tang H, Ran N, Wu S Q, Xia J, Zhang X, Zhou Y 2017 Sci. Reports 7 45330
[77]	Schellekens A J, van den Brink A, Franken J H, Swagten H J M, Koopmans B 2012 Nature Commun. 3 847
[78]	Shiota Y, Murakami S, Bonell F, Nozaki T, Shinjo T, Suzuki Y 2011 Appl. Phys. Express 4 043005
[79]	Song C K, Jin C D, Wang J S, Xia H Y, Wang J B, Liu Q F 2017 Appl. Phys. Lett. 111 192413
[80]	Zhang X C, Zhou Y, Ezawa M 2016 Nature Commun. 7 10293
[81]	Kim J V, Yoo M W 2017 Appl. Phys. Lett. 110 132404
[82]	Woo S, Litzius K, Krger B, Im M, Caretta L, Richter K, Mann M, Krone A, Reeve R M, Weigand M, Agrawal P, Lemesh I, Mawass M A, Fischer P, Klui M, Beach G S D 2016 Nature Mater. 15 501
[83]	Legrand W, Maccariello D, Reyren N, Garcia K, Moutafis C, Moreau-Luchaire C, Collin S, Bouzehouane K, Cros V, Fert A 2017 Nano Lett. 17 2703
[84]	Xia J, Huang Y Q, Zhang X C, Kang W, Zheng C T, Liu X X, Zhao W S, Zhou Y 2017 J. Appl. Phys. 122 153901
[85]	Ma F S, Ezawa M, Zhou Y 2015 Sci. Reports 5 15154
[86]	Xia H Y, Jin C D, Song C K, Wang J S, Wang J B, Liu Q F 2017 J. Phys. D: Appl. Phys. 50 505005
[87]	Zeng Z M, Finocchio G, Jiang H W 2013 Nanoscale 5 2219
[88]	Zheng F S, Li H, Wang S S, Song D S, Jin C M, Wei W S, Kovcs A, Zang J D, Tian M L, Zhang Y H, Du H F, Dunin-Borkowski R E 2017 Phys. Rev. Lett. 119 197205
[89]	Du H F, Ning W, Tian M L, Zhang Y H 2013 EPL 101 37001
[90]	Mochizuki M 2012 Phys. Rev. Lett. 108 017601
[91]	Jin C D, Song C K, Wang J S, Xia H Y, Wang J B, Liu Q F 2017 J. Appl. Phys. 122 223901
[92]	Onose Y, Okamura Y, Seki S, Ishiwata S, Tokura Y 2012 Phys. Rev. Lett. 109 037603
[93]	Dai Y Y, Wang H, Yang T, Ren W J, Zhang Z D 2014 Sci. Reports 4 6153
[94]	Wang H, Dai Y Y, Yang T, Ren W J, Zhang Z D 2014 RSC Adv. 4 62179

施引文献

[1]	Skyrme T H R 1962 Nucl. Phys. 31 556
[2]	Sondhi S L, Karlhede A, Kivelson S A, Rezayi E H 1993 Phys. Rev. B 47 16419
[3]	AlKhawaja U, Stoof H 2001 Nature 411 918
[4]	Bogdanov A N, Rossler U K, Shestakov A A 2003 Phys. Rev. E 67 016602
[5]	Malozemoff A P, Slonczewski J C 1979 Magnetic Domain Walls in Bubble Materials (New York: Academic)
[6]	Rler U, Bogdanov A, Pfleiderer C 2006 Nature 442 797
[7]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[8]	Nagaosa N, Tokura Y 2013 Nature Nanotech. 8 899
[9]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241
[10]	Moriya T 1960 Phys. Rev. 120 91
[11]	Crpieux A, Lacroix C 1998 J. Magn. Magn. Mater. 182 341
[12]	Du H F, Liang D, Jin C M, Kong L Y, Stolt M J, Ning W, Yang J Y, Xing Y, Wang J, Che R, Zang J D, Jin S, Zhang Y H, Tian M L 2015 Nature Commun. 6 7637
[13]	Yu X Z, Onose Y, Kanazawa N, Park J H, Han J H, Matsui Y, Nagaosa N, Tokura Y 2010 Nature 465 901
[14]	Milde P, Khler D, Seidel J, Eng L, Bauer A, Chacon A, Kindervater J, Mhlbauer S, Pfleiderer C, Buhrandt S, Schtte C, Rosch A 2013 Science 340 1076
[15]	Park H S, Yu X Z, Aizawa S, Tanigaki T, Akashi T, Takahashi Y, Matsuda T, Kanazawa N, Onose Y, Shindo D, Tonomura A, Tokura Y 2014 Nature Nanotech. 9 337
[16]	Yu X Z, Kanazawa N, Onose Y, Kimoto K, Zhang W Z, Ishiwata S, Matsui Y, Tokura Y 2011 Nature Mater. 10 106
[17]	Yu X Z, Kanazawa N, Zhang W Z, Nagai T, Hara T, Kimoto K, Matsui Y, Onose Y, Tokura Y 2012 Nature Commun. 3 988
[18]	Zhao X B, Jin C M, Wang C, Du H F, Zang J D, Tian M L, Che R C, Zhang Y 2016 Proc. Natl. Acad. Sci. USA 113 4918
[19]	Wang C, Du H F, Zhao X B, Jin C M, Tian M L, Zhang Y H, Che R C 2017 Nano Lett. 17 2921
[20]	Seki S, Yu X Z, Ishiwata S, Tokura Y 2012 Science 336 198
[21]	Heinze S, von Bergmann K, Menzel M, Brede J, Kubetzka A, Wiesendanger R, Bihlmayer G, Blgel S 2011 Nature Phys. 7 713
[22]	Jiang W J, Upadhyaya P, Zhang W, Yu G Q, Jungfleisch M B, Fradin F Y, Pearson J E, Tserkovnyak Y, Wang K L, Heinonen O, Velthuis S G E, Hoffmann A 2015 Science 349 283
[23]	Boulle O, Vogel J, Yang H X, Pizzini S, de Souza Chaves D, Locatelli A, Mentes T O, Sala A, Buda-Prejbeanu L D, Klein O, Belmeguenai M, Roussign Y, Stashkevich A, Chrif S M, Avalle L, Foerster M, Chshiev M, Auffret S, Miron I M, Gaudin G 2016 Nature Nanotech. 11 449
[24]	Hou Z P, Ren W J, Ding B, Xu G Z, Wang Y, Yang B, Zhang Q, Zhang Y, Liu E, Xu F, Wang W H, Wu G H, Zhang X X, Shen B G, Zhang Z D 2017 Adv. Mater. 29 29
[25]	Hou Z P, Zhang Q, Xu G Z, Gong C, Ding B, Wang Y, Li H, Liu E, Xu F, Zhang H W, Yao Y, Wu G H, Zhang X X, Wang W H 2018 Nano Lett. 18 1274
[26]	Zhang S, Petford-Long A K, Phatak C 2016 Sci. Reports 6 31248
[27]	Nayak A K, Kumar V, Ma T, Werner P, Pippel E, Sahoo R, Damay F, Rler U K, Felser C, Parkin S S P 2017 Nature 548 561
[28]	Yu X Z, Tokunaga Y, Kaneko Y, Zhang W Z, Kimoto K, Matsui Y, Taguchi Y, Tokura Y 2014 Nature Commun. 5 3198
[29]	Wang W H, Zhang Y, Xu G Z, Peng L C, Ding B, Wang Y, Hou Z P, Zhang X M, Li X Y, Liu E K, Wang S G, Cai J W, Wang F W, Li J Q, Hu F X, Wu G H, Shen B G, Zhang X X 2016 Adv. Mater. 28 6887
[30]	Zhang X C, Zhou Y, Ezawa M 2016 Sci. Reports 6 24795
[31]	Barker J, Tretiakov O A 2016 Phys. Rev. Lett. 116 147203
[32]	Jin C D, Song C K, Wang J B, Liu Q F 2016 Appl. Phys. Lett. 109 182404
[33]	Fert A, Cros V, Sampaio J 2013 Nature Nanotech. 8 152
[34]	Sampaio J, Cros V, Rohart S, Thiaville A, Fert A 2013 Nature Nanotech. 8 839
[35]	Zhang X C, Zhou Y, Ezawa M, Zhao G P, Zhao W 2015 Sci. Reports 5 11369
[36]	Zhang X C, Ezawa M, Zhou Y 2015 Sci. Reports 5 9400
[37]	Zhang S F, Wang J B, Zheng Q, Zhu Q Y, Liu X Y, Chen S J, Jin C D, Liu Q F, Jia C L, Xue D S 2015 New J. Phys. 17 023061
[38]	Garcia-Sanchez F, Sampaio J, Reyren N, Cros V, Kim J V 2016 New J. Phys. 18 075011
[39]	Liu X Y, Zhu Q Y, Zhang S F, Liu Q F, Wang J B 2015 AIP Adv. 5 087137
[40]	Jin C D, Wang J B, Wang W W, Song C K, Wang J S, Xia H Y, Liu Q F 2018 Phys. Rev. Appl. 9 044007
[41]	Mochizuki M 2017 Appl. Phys. Lett. 111 092403
[42]	Du H F, Ning W, Tian M L, Zhang Y H 2013 Phys. Rev. B 87 014401
[43]	Liu Y, Yan H, Jia M, Du H F, Du A, Zang J D 2017 Phys. Rev. B 95 134442
[44]	Zhang B, Wang W W, Beg M, Fangohr H, Kuch W 2015 Appl. Phys. Lett. 106 102401
[45]	Wang W W, Beg M, Zhang B, Kuch W, Fangohr H 2015 Phys. Rev. B 92 020403
[46]	Zhang X C, Ezawa M, Xiao D, Zhao G P, Liu Y, Zhou Y 2015 Nanotechnology 26 225701
[47]	Mochizuki M 2016 Adv. Electron. Mater. 2 1500180
[48]	Brown W F 1959 J. Phys. Radium 20 101
[49]	Gilbert T L, Kelly J M 1955 Anomalous Rotational Damping in Ferromagnetic Sheets (New York: American Institute of Electrical Engineers) pp253-263
[50]	Gilbert T L 2004 IEEE Trans. Mag. 40 3443
[51]	Thiele A A 1973 Phys. Rev. Lett. 30 230
[52]	Bhowmik D, You L, Salahuddin S 2014 Nature Nanotech. 9 59
[53]	Jiang W J, Zhang X C, Yu G Q, Zhang W, Wang X, Jungfleisch M B, Pearson J E, Cheng X M, Heinonen O, Wang K L, Zhou Y, Hoffmann A, Velthuis S G E 2017 Nature Phys. 13 162
[54]	Litzius K, Lemesh I, Krger B, Bassirian P, Caretta L, Richter K, Bttner F, Sato K, Tretiakov O A, Frster J, Reeve R M, Weigand M, Bykova L, Stoll H, Schtz G, Beach G S D, Klui M 2017 Nature Phys. 13 170
[55]	Rojas-Sanchez J C, Reyren N, Laczkowski P, Savero W, Attane J P, Deranlot C, Jamet M, George J M, Vila L, Jaffrs H 2014 Phys. Rev. Lett. 112 106602
[56]	Iwasaki J, Mochizuki M, Nagaosa N 2013 Nature Nanotech. 8 742
[57]	Koshibae W, Nagaosa N 2014 Nature Commun. 5 5148
[58]	Zhou Y, Ezawa M 2014 Nature Commun. 5 4652
[59]	Liu Y Z, Yin G, Zang J D, Shi J, Lake R K 2015 Appl. Phys. Lett. 107 152411
[60]	Mller J, Rosch A, Garst M 2016 New J. Phys. 18 065006
[61]	Parkin S S P, Hayashi M, Thomas L 2008 Science 320 190
[62]	Zhu Q Y, Mu C P, Xia H Y, Wang W W, Wang J B, Liu Q F 2012 Physica B 407 4584
[63]	Jin C D, Zhang S F, Zhu Q Y, Liu X Y, Chen S J, Song C K, Wang J B, Liu Q F 2016 J. Phys. D: Appl. Phys. 49 175005
[64]	Martinez E, Emori S, Beach G S 2013 Appl. Phys. Lett. 103 072406
[65]	Zhang X C, Zhao G P, Fangohr H, Liu J P, Xia W X, Xia J, Morvan F J 2015 Sci. Reports 5 7643
[66]	Ding J J, Yang X F, Zhu T 2015 J. Phys. D: Appl. Phys. 48 115004
[67]	Tomasello R, Martinez E, Zivieri R, Torres L, Carpentieri M, Finocchio G 2014 Sci. Reports 4 6784
[68]	Rosch A 2013 Nature Nanotech. 8 160
[69]	Lin S Z, Reichhardt C, Batista C D, Saxena A 2013 Phys. Rev. B 87 214419
[70]	Everschor-Sitte K, Sitte M 2014 J. Appl. Phys. 115 172602
[71]	Zang J D, Mostovoy M, Han J H, Nagaosa N 2011 Phys. Rev. Lett. 107 136804
[72]	Chen G 2017 Nature Phys. 13 112
[73]	Liu Y, Yan H, Jia M, Du H F, Du A 2016 Appl. Phys. Lett. 109 102402
[74]	Purnama I, Gan W L, Wong D W, Lew W S 2015 Sci. Reports 5 10620
[75]	Upadhyaya P, Yu G, Amiri P K, Wang K L 2015 Phys. Rev. B 92 134411
[76]	Lai P, Zhao G P, Tang H, Ran N, Wu S Q, Xia J, Zhang X, Zhou Y 2017 Sci. Reports 7 45330
[77]	Schellekens A J, van den Brink A, Franken J H, Swagten H J M, Koopmans B 2012 Nature Commun. 3 847
[78]	Shiota Y, Murakami S, Bonell F, Nozaki T, Shinjo T, Suzuki Y 2011 Appl. Phys. Express 4 043005
[79]	Song C K, Jin C D, Wang J S, Xia H Y, Wang J B, Liu Q F 2017 Appl. Phys. Lett. 111 192413
[80]	Zhang X C, Zhou Y, Ezawa M 2016 Nature Commun. 7 10293
[81]	Kim J V, Yoo M W 2017 Appl. Phys. Lett. 110 132404
[82]	Woo S, Litzius K, Krger B, Im M, Caretta L, Richter K, Mann M, Krone A, Reeve R M, Weigand M, Agrawal P, Lemesh I, Mawass M A, Fischer P, Klui M, Beach G S D 2016 Nature Mater. 15 501
[83]	Legrand W, Maccariello D, Reyren N, Garcia K, Moutafis C, Moreau-Luchaire C, Collin S, Bouzehouane K, Cros V, Fert A 2017 Nano Lett. 17 2703
[84]	Xia J, Huang Y Q, Zhang X C, Kang W, Zheng C T, Liu X X, Zhao W S, Zhou Y 2017 J. Appl. Phys. 122 153901
[85]	Ma F S, Ezawa M, Zhou Y 2015 Sci. Reports 5 15154
[86]	Xia H Y, Jin C D, Song C K, Wang J S, Wang J B, Liu Q F 2017 J. Phys. D: Appl. Phys. 50 505005
[87]	Zeng Z M, Finocchio G, Jiang H W 2013 Nanoscale 5 2219
[88]	Zheng F S, Li H, Wang S S, Song D S, Jin C M, Wei W S, Kovcs A, Zang J D, Tian M L, Zhang Y H, Du H F, Dunin-Borkowski R E 2017 Phys. Rev. Lett. 119 197205
[89]	Du H F, Ning W, Tian M L, Zhang Y H 2013 EPL 101 37001
[90]	Mochizuki M 2012 Phys. Rev. Lett. 108 017601
[91]	Jin C D, Song C K, Wang J S, Xia H Y, Wang J B, Liu Q F 2017 J. Appl. Phys. 122 223901
[92]	Onose Y, Okamura Y, Seki S, Ishiwata S, Tokura Y 2012 Phys. Rev. Lett. 109 037603
[93]	Dai Y Y, Wang H, Yang T, Ren W J, Zhang Z D 2014 Sci. Reports 4 6153
[94]	Wang H, Dai Y Y, Yang T, Ren W J, Zhang Z D 2014 RSC Adv. 4 62179

[1]	郭玺, 左亚路, 崔宝山, 申铁龙, 盛彦斌, 席力. 离子辐照对材料磁性的调控及其应用. , 2024, 73(13): 136101. doi: 10.7498/aps.73.20240541
[2]	马晓萍, 杨宏国, 李昌锋, 刘有继, 朴红光. 切边纳米铁磁盘对中磁涡旋旋性的磁场调控. , 2021, 70(10): 107502. doi: 10.7498/aps.70.20201995
[3]	李栋, 董生智, 李磊, 徐吉元, 陈红升, 李卫. 核((Nd_0.7, Ce_0.3)₂Fe₁₄B)-壳(Nd₂Fe₁₄B)型磁体反磁化的微磁学模拟. , 2020, 69(14): 147501. doi: 10.7498/aps.69.20200435
[4]	李金华, 张思楠, 翟英娇, 马剑刚, 房文汇, 张昱. MoS₂及其金属复合表面增强拉曼散射基底的发展及应用. , 2019, 68(13): 134203. doi: 10.7498/aps.68.20182113
[5]	董丹娜, 蔡理, 李成, 刘保军, 李闯, 刘嘉豪. 界面Dzyaloshinskii-Moriya相互作用下辐射状磁涡旋形成机制. , 2018, 67(22): 228502. doi: 10.7498/aps.67.20181392
[6]	刘艺舟, 臧佳栋. 磁性斯格明子的研究现状和展望. , 2018, 67(13): 131201. doi: 10.7498/aps.67.20180619
[7]	侯志鹏, 丁贝, 李航, 徐桂舟, 王文洪, 吴光恒. 宽温域跨室温磁斯格明子材料的发现及器件研究. , 2018, 67(13): 137509. doi: 10.7498/aps.67.20180419
[8]	李子安, 柴可, 张明, 朱春辉, 田焕芳, 杨槐馨. 纳米结构中磁斯格明子的原位电子全息研究. , 2018, 67(13): 131203. doi: 10.7498/aps.67.20180426
[9]	孔令尧. 磁斯格明子拓扑特性及其动力学微磁学模拟研究进展. , 2018, 67(13): 137506. doi: 10.7498/aps.67.20180235
[10]	徐桂舟, 徐展, 丁贝, 侯志鹏, 王文洪, 徐锋. 磁畴壁手性和磁斯格明子的拓扑性表征及其调控. , 2018, 67(13): 137508. doi: 10.7498/aps.67.20180513
[11]	吕刚, 曹学成, 张红, 秦羽丰, 王林辉, 厉桂华, 高峰, 孙丰伟. 磁涡旋极性翻转的局域能量. , 2016, 65(21): 217503. doi: 10.7498/aps.65.217503
[12]	孙璐, 火炎, 周超, 梁建辉, 张祥志, 许子健, 王勇, 吴义政. 利用扫描透射X射线显微镜观测磁涡旋结构. , 2015, 64(19): 197502. doi: 10.7498/aps.64.197502
[13]	孙明娟, 刘要稳. 电流调控磁涡旋的极性和旋性. , 2015, 64(24): 247505. doi: 10.7498/aps.64.247505
[14]	彭懿, 赵国平, 吴绍全, 斯文静, 万秀琳. 不同易轴取向下对Nd2Fe14B/Fe65Co35磁性双层膜的微磁学模拟. , 2014, 63(16): 167505. doi: 10.7498/aps.63.167505
[15]	夏静, 张溪超, 赵国平. 易轴取向对Nd2Fe14B/α-Fe双层膜退磁过程影响的微磁学分析. , 2013, 62(22): 227502. doi: 10.7498/aps.62.227502
[16]	范喆, 马晓萍, 李尚赫, 沈帝虎, 朴红光, 金东炫. 消磁场对纳米铁磁线磁畴壁动力学行为的影响. , 2012, 61(10): 107502. doi: 10.7498/aps.61.107502
[17]	陆海鹏, 韩满贵, 邓龙江, 梁迪飞, 欧雨. Co纳米线磁矩反转动态过程的有限元微磁学模拟. , 2010, 59(3): 2090-2096. doi: 10.7498/aps.59.2090
[18]	宋三元, 郭光华, 张光富, 宋文斌. 矩形磁性纳米点动力学反磁化过程的微磁学研究. , 2009, 58(8): 5757-5762. doi: 10.7498/aps.58.5757
[19]	阴津华, C. H. Hee, 潘礼庆. 反铁磁耦合记录介质的一级翻转曲线. , 2008, 57(11): 7287-7291. doi: 10.7498/aps.57.7287
[20]	杨秀会. W(110)基底上的铁纳米岛初始自发磁化态的微磁学模拟. , 2008, 57(11): 7279-7286. doi: 10.7498/aps.57.7279

计量

文章访问数: 8239
PDF下载量: 673
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板