磁性斯格明子的研究现状和展望

刘艺舟; 臧佳栋

doi:10.7498/aps.67.20180619

摘要

磁性斯格明子是具有拓扑保护性质的纳米尺度涡旋磁结构.斯格明子主要存在于非中心对称的手性磁性材料以及界面镜面对称性破缺的磁性薄膜材料中.因具有实空间的非平庸拓扑性，磁性斯格明子展现出丰富新奇的物理学特性，例如拓扑霍尔效应，新兴电磁动力学等，为研究拓扑自旋电子学提供了新的平台.另一方面，由于其具有尺寸小，高稳定性和易操控的特性，磁性斯格明子在未来高密度，低能耗，非易失性计算和存储器件中也具有潜在应用.现阶段的研究已经初步发现一系列磁斯格明子材料，并证明能够通过电流操控室温下稳定的磁性斯格明子，但是室温下单个斯格明子的精确产生、湮灭以及探测在实验上仍具有挑战性.本文阐述了磁性斯格明子的基础理论以及动力学研究现状，并对现有的斯格明子材料和斯格明子的产生，湮灭以及探测方法进行了总结，最后还对未来磁性斯格明子的物理理论研究以及应用发展中的挑战和机遇进行了讨论.

关键词:

Abstract

Magnetic skyrmions are topologically protected nano-scale spin textures. They normally exist in chiral magnets and magnetic thin films with broken inversion symmetry. The size of skyrmion ranges from 1 nm to several hundred nanometers, depending on the material parameters. The spins of skyrmion wrap around the unit sphere exactly once, thus facilitating the unit topological charge of a skyrmion. Due to their non-trivial topology, skyrmions exhibit exotic physics such as the topological Hall effect (THE) and the emergent electrodynamics. Skyrmions show particle-like dynamics and can be driven with ultra-low current density. Furthermore, they can be created, annihilated, manipulated and detected by all-electric methods, making skyrmion a promising candidate for next-generation information storage and processing technologies. On the other hand, combining skyrmions with superconductors and topological insulators may also lead to intriguing physics and applications such as the topological quantum computing. Over the past few years, the creation, annihilation and detection of skyrmion at room temperature have already been demonstrated, but the precise control of single skyrmion with size below 10 nm is still a challenge. In this paper, we first review the fundamental physics of skyrmion, from its topology to its emergent dynamics. Physical mechanisms of the Dzyaloshinskii-Moriya interaction, the emergent electrodynamics and the THE are discussed. Then the skyrmion material systems, including chiral magnets, magnetic thin films, artificial skyrmion systems, frustrated magnets, bi-skyrmion materials and antiskyrmion materials, are comprehensively summarized. The optimizations of materials and potential new skyrmion materials are also proposed for different material systems. Methods of creating, annihilating and detecting skyrmions, which also cover potential application methods other than electrical methods, are discussed from both theoretical and experimental point of view. The energy efficiencies and reliabilities of different creation and annihilation methods and the sensitivities of different detection methods are still unclear, these current bottlenecks and possible avenues towards skyrmion-based spintronics are described. Finally, we address some possible future directions of skyrmion research, such as the antiferromagnetic skyrmion and skyrmions in topological insulators, which may lead to the discovery of peculiar topological quantum physics and materials.

Keywords:

作者及机构信息

刘艺舟^1,3,
臧佳栋²

1.
中国科学院物理研究所, 北京 100190;

2.
新罕布什尔大学物理系, 美国 03824;

3.
加利福尼亚大学河滨分校电气及计算机工程系, 美国 92521

通信作者: 刘艺舟, yliu062@ucr.edu;jiadong.zang@unh.edu ; 臧佳栋, yliu062@ucr.edu;jiadong.zang@unh.edu

基金项目: 美国能源部科学办公室（批准号：DE-SC0016424）资助的课题.

Authors and contacts

Liu Yi-Zhou^1,3,
Zang Jiadong²

1.
Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;

2.
Department of Physics, University of New Hampshire, Durham, New Hampshire 03824, USA;

3.
Department of Electrical and Computer Engineering, University of California, Riverside, California 92521, USA

Corresponding author: Liu Yi-Zhou, yliu062@ucr.edu;jiadong.zang@unh.edu ; Zang Jiadong, yliu062@ucr.edu;jiadong.zang@unh.edu

Funds: Project supported by the by the U.S. Department of Energy (DOE), Office of Science, Basic Energy Sciences (BES) under Award (Grant No. DE-SC0016424).

参考文献

[1]	Berry M V 1984 Proc. R. Soc. Lond. A 392 45
[2]	Klitzing K V, Dorda G, Pepper M 1980 Phys. Rev. Lett. 45 494
[3]	Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[4]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[5]	Nagaosa N, Sinova J, Onoda S, MacDonald A H, Ong N P 2010 Rev. Mod. Phys. 82 1539
[6]	Skyrme T H R 1961 Proc. R. Soc. Lond. A 260 127
[7]	Bogdanov A N, Yablonskii A A 1989 Zh. Eksp. Teor. Fiz 95
[8]	Rler U K, Bogdanov A N, Pfleiderer C 2006 Nature 442 797
[9]	Fert A, Cros V, Sampaio J 2013 Nat. Nanotech. 8 152
[10]	Tsoi M, Fontana R E, Parkin S S P 2003 Appl. Phys. Lett. 83 2617
[11]	Shinjo T, Okuno T, Hassdorf R, Shigeto K, Ono T 2000 Science 289 930
[12]	Hubert A, Schfer R 2008 Magnetic Domains: The Analysis of Magnetic Microstructures (New York: Springer Science Business Media) pp99-101
[13]	Mermin N D 1979 Rev. Mod. Phys. 51 591
[14]	Armstrong M A 1983 Basic Topology (New York: Springer-Verlag) pp20-22
[15]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241
[16]	Moriya T 1960 Phys. Rev. 120 91
[17]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[18]	Yu X Z, Onose Y, Kanazawa N, Park J H, Han J H, Matsui Y, Nagaosa N, Tokura Y 2010 Nature 465 901
[19]	Zhang X, Zhou Y, Ezawa M, Zhao G P, Zhao W 2015 Sci. Rep. 5 11369
[20]	Zhang X, Ezawa M, Zhou Y 2015 Sci. Rep. 5 9400
[21]	Tomasello R, Martinez E, Zivieri R, Torres L, Carpentieri M, Finocchio G 2014 Sci. Rep. 4 6784
[22]	Kang W, Huang Y, Zhang X, Zhou Y, Zhao W 2016 Proc. IEEE 104 2040
[23]	Zhang S, Wang J, Zheng Q, Zhu Q, Liu X, Chen S, Jin C, Liu Q F, Jia C, Xue D 2015 New J. Phys. 17 023061
[24]	Garcia-Sanchez F, Sampaio J, Reyren N, Cros V, Kim J V 2016 New J. Phys. 18 075011
[25]	Finocchio G, Ricci M, Tomasello R, Giordano A, Lanuzza M, Puliafito V, Burrascano P, Azzerboni B, Carpentieri M 2015 Appl. Phys. Lett. 107 262401
[26]	Jiang S T, Li W 2003 Magnetism in Condensed Matter Physics (Beijing: Science Press) pp215-237 (in Chinese) [姜寿亭, 李卫 2003 凝聚态磁性物理 (北京: 科学出版社) 第215237页]
[27]	Rajaraman R 1982 Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory (Amsterdam, Netherlands: North-holland) pp14-16
[28]	Derrick G H 1964 J. Math. Phys. 5 1252
[29]	Hobart R H 1963 Proc. Phys. Soc. 82 201
[30]	Ruderman M A, Kittel C 1954 Phys. Rev. 96 99
[31]	Kasuya T 1956 Prog. Theor. Phys. 16 45
[32]	Yosida K 1957 Phys. Rev. 106 893
[33]	Feng D, Jin G J 2013 Condensed Matter Physics (Volume 1) (Beijing: Higher Education Press) pp514-522 (in Chinese) [冯端, 金国钧 2013 凝聚态物理学(上卷) (北京: 高等教育出版社) 第514522页]
[34]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[35]	Levatić I, Popčević P, urija V, Kruchkov A, Berger H, Magrez A, White J S, Rnnow H M, Živković I 2016 Sci. Rep. 6 21347
[36]	Janoschek M, Garst M, Bauer A, Krautscheid P, Georgii R, Bni P, Pfleiderer C 2013 Phys. Rev. B 87 134407
[37]	Han J H, Zang J, Yang Z, Park J H, Nagaosa N 2010 Phys. Rev. B 82 094429
[38]	Neubauer A, Pfleiderer C, Binz B, Rosch A, Ritz R, Niklowitz P G, Bni P 2009 Phys. Rev. Lett. 102 186602
[39]	Zang J, Mostovoy M, Han J H, Nagaosa N 2011 Phys. Rev. Lett. 107 136804
[40]	Schulz T, Ritz R, Bauer A, Halder M, Wagner M, Franz C, Pfleiderer C, Everschor K, Garst M, Rosch A 2012 Nat. Phys. 8 301
[41]	Kong L, Zang J 2013 Phys. Rev. Lett. 111 067203
[42]	Mochizuki M, Yu X Z, Seki S, Kanazawa N, Koshibae W, Zang J, Mostovoy M, Tokura Y, Nagaosa N 2014 Nat. Mater. 13 241
[43]	Wilczek F, Shapere A 1989 Geometric Phases in Physics (Singapore: World Scientific) pp247-257
[44]	Jonietz F, Mhlbauer S, Pfleiderer C, Neubauer A, Mnzer W, Bauer A, Adams T, Georgii R, Bni P, Duine R A, Everschor K, Garst M, Rosch A 2010 Science 330 1648
[45]	Schulz T, Ritz R, Bauer A, Halder M, Wagner M, Franz C, Pfleiderer C, Everschor K, Garst M, Rosch A 2012 Nat. Phys. 8 301
[46]	Li Y, Kanazawa N, Yu X Z, Tsukazaki A, Kawasaki M, Ichikawa M, Jin X F, Kagawa F, Tokura Y 2013 Phys. Rev. Lett. 110 117202
[47]	Huang S X, Chien C L 2012 Phys. Rev. Lett. 108 267201
[48]	Kanazawa N, Onose Y, Arima T, Okuyama D, Ohoyama K, Wakimoto S, Kakurai K, Ishiwata S, Tokura Y 2011 Phys. Rev. Lett. 106 156603
[49]	Raju M, Yagil A, Soumyanarayanan A, Tan A K C, Almoalem A, Auslaender O M, Panagopoulos C 2017 arxiv: 170804084 [cond-mat]
[50]	Yokouchi T, Kanazawa N, Tsukazaki A, Kozuka Y, Kawasaki M, Ichikawa M, Kagawa F, Tokura Y 2014 Phys. Rev. B 89 064416
[51]	Tian Y, Ye L, Jin X F 2009 Phys. Rev. Lett. 103 087206
[52]	Hall E H 1879 Am. J. Math. 2 287
[53]	Chang M C, Niu Q 1996 Phys. Rev. B 53 7010
[54]	Sundaram G, Niu Q 1999 Phys. Rev. B 59 14915
[55]	Jungwirth T, Niu Q, MacDonald A H 2002 Phys. Rev. Lett. 88 207208
[56]	Lee M, Onose Y, Tokura Y, Ong N P 2007 Phys. Rev. B 75 172403
[57]	Freimuth F, Bamler R, Mokrousov Y, Rosch A 2013 Phys. Rev. B 88 214409
[58]	Franz C, Freimuth F, Bauer A, Ritz R, Schnarr C, Duvinage C, Adams T, Blgel S, Rosch A, Mokrousov Y, Pfleiderer C 2014 Phys. Rev. Lett. 112 186601
[59]	Denisov K S, Rozhansky I V, Averkiev N S, Lhderanta E 2017 Sci. Rep. 7 17204
[60]	Denisov K S, Rozhansky I V, Averkiev N S, Lhderanta E 2016 Phys. Rev. Lett. 117 027202
[61]	Tanigaki T, Shibata K, Kanazawa N, Yu X, Onose Y, Park H S, Shindo D, Tokura Y 2015 Nano Lett. 15 5438
[62]	Kanazawa N, Nii Y, Zhang X X, Mishchenko A S, De Filippis G, Kagawa F, Iwasa Y, Nagaosa N, Tokura Y 2016 Nat. Commun. 7 11622
[63]	Fujishiro Y, Kanazawa N, Shimojima T, Nakamura A, Ishizaka K, Koretsune T, Arita R, Miyake A, Mitamura H, Akiba K, Tokunaga M, Shiogai J, Kimura S, Awaji S, Tsukazaki A, Kikkawa A, Taguchi Y, Tokura Y 2018 Nat. Commun. 9 408
[64]	Ahmed A S, Esser B D, Rowland J, McComb D W, Kawakami R K 2017 J. Cryst. Growth 467 38
[65]	Du H, Che R, Kong L, Zhao X, Jin C, Wang C, Yang J, Ning W, Li R, Jin C, Chen X, Zang J, Zhang Y, Tian M 2015 Nat. Commun. 6 8504
[66]	Zheng F, Li H, Wang S, Song D, Jin C, Wei W, Kovcs A, Zang J, Tian M, Zhang Y, Du H, Dunin-Borkowski R E 2017 Phys. Rev. Lett. 119 197205
[67]	Gallagher J C, Meng K Y, Brangham J T, Wang H L, Esser B D, McComb D W, Yang F Y 2017 Phys. Rev. Lett. 118 027201
[68]	Yu X Z, Kanazawa N, Onose Y, Kimoto K, Zhang W Z, Ishiwata S, Matsui Y, Tokura Y 2011 Nat. Mater. 10 106
[69]	Tokunaga Y, Yu X Z, White J S, Rnnow H M, Morikawa D, Taguchi Y, Tokura Y 2015 Nat. Commun. 6 7638
[70]	Karube K, White J S, Morikawa D, Bartkowiak M, Kikkawa A, Tokunaga Y, Arima T, Rnnow H M, Tokura Y, Taguchi Y 2017 Phys. Rev. Mater. 1 074405
[71]	Seki S, Yu X Z, Ishiwata S, Tokura Y 2012 Science 336 198
[72]	Janson O, Rousochatzakis I, Tsirlin A A, Belesi M, Leonov A A, Rler U K, van den Brink J, Rosner H 2014 Nat. Commun. 5 5376
[73]	White J S, Pra K, Huang P, Omrani A A, Živković I, Bartkowiak M, Berger H, Magrez A, Gavilano J L, Nagy G, Zang J, Rnnow H M 2014 Phys. Rev. Lett. 113 107203
[74]	Kzsmrki I, Bordcs S, Milde P, Neuber E, Eng L M, White J S, Rnnow H M, Dewhurst C D, Mochizuki M, Yanai K, Nakamura H, Ehlers D, Tsurkan V, Loidl A 2015 Nat. Mater. 14 1116
[75]	Li W, Jin C, Che R, Wei W, Lin L, Zhang L, Du H, Tian M, Zang J 2016 Phys. Rev. B 93 060409
[76]	Fert A 1990 Mater. Sci. Forum 59-60 439
[77]	Heinze S, von Bergmann K, Menzel M, Brede J, Kubetzka A, Wiesendanger R, Bihlmayer G, Blgel S 2011 Nat. Phys. 7 713
[78]	Chen G, Mascaraque A, N'Diaye A T, Schmid A K 2015 Appl. Phys. Lett. 106 242404
[79]	Boulle O, Vogel J, Yang H, Pizzini S, Chaves D de S, Locatelli A, Menteș T O, Sala A, Buda-Prejbeanu L D, Klein O, Belmeguenai M, Roussign Y, Stashkevich A, Chrif S M, Aballe L, Foerster M, Chshiev M, Auffret S, Miron I M, Gaudin G 2016 Nat. Nanotech. 11 449
[80]	Woo S, Litzius K, Krger B, Im M Y, 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 Nat. Mater. 15 501
[81]	Jiang W, Upadhyaya P, Zhang W, Yu G, Jungfleisch M B, Fradin F Y, Pearson J E, Tserkovnyak Y, Wang K L, Heinonen O, te Velthuis S G E, Hoffmann A 2015 Science 349 283
[82]	Belabbes A, Bihlmayer G, Blgel S, Manchon A 2016 Sci. Rep. 6 24634
[83]	Moreau-Luchaire C, Moutafis C, Reyren N, Sampaio J, Vaz C A F, Horne N V, Bouzehouane K, Garcia K, Deranlot C, Warnicke P, Wohlhter P, George J M, Weigand M, Raabe J, Cros V, Fert A 2016 Nat. Nanotech. 11 444
[84]	Yang H, Thiaville A, Rohart S, Fert A, Chshiev M 2015 Phys. Rev. Lett. 115 267210
[85]	Yu G, Jenkins A, Ma X, Razavi S A, He C, Yin G, Shao Q, He Q L, Wu H, Li W, Jiang W, Han X, Li X, Bleszynski Jayich A C, Amiri P K, Wang K L 2018 Nano Lett. 18 980
[86]	Ma X, Yu G, Razavi S A, Sasaki S S, Li X, Hao K, Tolbert S H, Wang K L, Li X 2017 Phys. Rev. Lett. 119 027202
[87]	Woo S, Song K M, Zhang X, Zhou Y, Ezawa M, Liu X, Finizio S, Raabe J, Lee N J, Kim S I, Park S Y, Kim Y, Kim J Y, Lee D, Lee O, Choi J W, Min B C, Koo H C, Chang J 2018 Nat. Commun. 9 959
[88]	Zhang X, Zhou Y, Ezawa M 2016 Nat. Commun. 7 10293
[89]	Zhang X, Zhou Y, Ezawa M 2016 Sci. Rep. 6 24795
[90]	Barker J, Tretiakov O A 2016 Phys. Rev. Lett. 116 147203
[91]	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
[92]	Kim J V, Yoo M W 2017 Appl. Phys. Lett. 110 132404
[93]	Sun L, Cao R X, Miao B F, Feng Z, You B, Wu D, Zhang W, Hu A, Ding H F 2013 Phys. Rev. Lett. 110 167201
[94]	Gilbert D A, Maranville B B, Balk A L, Kirby B J, Fischer P, Pierce D T, Unguris J, Borchers J A, Liu K 2015 Nat. Commun. 6 8462
[95]	Li J, Tan A, Moon K W, Doran A, Marcus M A, Young A T, Arenholz E, Ma S, Yang R F, Hwang C, Qiu Z Q 2014 Nat. Commun. 5 4704
[96]	Miao B F, Sun L, Wu Y W, Tao X D, Xiong X, Wen Y, Cao R X, Wang P, Wu D, Zhan Q F, You B, Du J, Li R W, Ding H F 2014 Phys. Rev. B 90 174411
[97]	Wu H Z, Miao B F, Sun L, Wu D, Ding H F 2017 Phys. Rev. B 95 174416
[98]	Yu X Z, Tokunaga Y, Kaneko Y, Zhang W Z, Kimoto K, Matsui Y, Taguchi Y, Tokura Y 2014 Nat. Commun. 5 3198
[99]	Wang W, Zhang Y, Xu G, Peng L, Ding B, Wang Y, Hou Z, Zhang X, Li X, Liu E, Wang S, Cai J, Wang F, Li J, Hu F, Wu G, Shen B, Zhang X X 2016 Adv. Mater. 28 6887
[100]	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
[101]	Hoffmann M, Zimmermann B, Mller G P, Schrhoff D, Kiselev N S, Melcher C, Blgel S 2017 Nat. Commun. 8 308
[102]	Okubo T, Chung S, Kawamura H 2012 Phys. Rev. Lett. 108 017206
[103]	Leonov A O, Mostovoy M 2015 Nat. Commun. 6 8275
[104]	Banerjee A, Yan J, Knolle J, Bridges C A, Stone M B, Lumsden M D, Mandrus D G, Tennant D A, Moessner R, Nagler S E 2017 Science 356 1055
[105]	Do S H, Park S Y, Yoshitake J, Nasu J, Motome Y, Kwon Y S, Adroja D T, Voneshen D J, Kim K, Jang T H, Park J H, Choi K Y, Ji S 2017 Nat. Phys. 13 1079
[106]	Pereiro M, Yudin D, Chico J, Etz C, Eriksson O, Bergman A 2014 Nat. Commun. 5 4815
[107]	Hou Z, Ren W, Ding B, Xu G, Wang Y, Yang B, Zhang Q, Zhang Y, Liu E, Xu F, Wang W, Wu G, Zhang X, Shen B, Zhang Z 2017 Adv. Mater. 29 1701144
[108]	Ye L, Kang M, Liu J, von Cube F, Wicker C R, Suzuki T, Jozwiak C, Bostwick A, Rotenberg E, Bell D C, Fu L, Comin R, Checkelsky J G 2018 Nature 555 638
[109]	Hsu P J, Kubetzka A, Finco A, Romming N, von Bergmann K, Wiesendanger R 2017 Nat. Nanotech. 12 123
[110]	Romming N, Hanneken C, Menzel M, Bickel J E, Wolter B, von Bergmann K, Kubetzka A, Wiesendanger R 2013 Science 341 636
[111]	Pollard S D, Garlow J A, Yu J, Wang Z, Zhu Y, Yang H 2017 Nat. Commun. 8 14761
[112]	Montoya S A, Couture S, Chess J J, Lee J C T, Kent N, Henze D, Sinha S K, Im M Y, Kevan S D, Fischer P, McMorran B J, Lomakin V, Roy S, Fullerton E E 2017 Phys. Rev. B 95 024415
[113]	Soumyanarayanan A, Raju M, Oyarce A L G, Tan A K C, Im M Y, Petrović A P, Ho P, Khoo K H, Tran M, Gan C K, Ernult F, Panagopoulos C 2017 Nat. Mater. 16 898
[114]	Nagao M, So Y G, Yoshida H, Isobe M, Hara T, Ishizuka K, Kimoto K 2013 Nat. Nanotech. 8 325
[115]	Slonczewski J C 1996 J.Magn. Magn. Mater. 159 L1
[116]	Berger L 1996 Phys. Rev. B 54 9353
[117]	Zhang S, Li Z 2004 Phys. Rev. Lett. 93 127204
[118]	Iwasaki J, Mochizuki M, Nagaosa N 2013 Nat. Nanotech. 8 742
[119]	Bttner F, Lemesh I, Schneider M, Pfau B, Gnther C M, Hessing P, Geilhufe J, Caretta L, Engel D, Krger B, Viefhaus J, Eisebitt S, Beach G S D 2017 Nat. Nanotech. 12 1040
[120]	Zhou Y, Ezawa M 2014 Nat. Commun. 5 4652
[121]	Yu G, Upadhyaya P, Shao Q, Wu H, Yin G, Li X, He C, Jiang W, Han X, Amiri P K, Wang K L 2017 Nano Lett. 17 261
[122]	Sampaio J, Cros V, Rohart S, Thiaville A, Fert A 2013 Nat. Nanotech. 8 839
[123]	Grab J L, Rugar A E, Ralph D C 2017 Phys. Rev. B 97 184424
[124]	Finazzi M, Savoini M, Khorsand A R, Tsukamoto A, Itoh A, Du L, Kirilyuk A, Rasing T, Ezawa M 2013 Phys. Rev. Lett. 110 177205
[125]	Berruto G, Madan I, Murooka Y, Vanacore G M, Pomarico E, Rajeswari J, Lamb R, Huang P, Kruchkov A J, Togawa Y, LaGrange T, McGrouther D, Rnnow H M, Carbone F 2018 Phys. Rev. Lett. 120 117201
[126]	Fujita H, Sato M 2017 Phys. Rev. B 95 054421
[127]	Kryder M H, Gage E C, McDaniel T W, Challener W A, Rottmayer R E, Ju G, Hsia Y T, Erden M F 2008 Proc. IEEE 96 1810
[128]	Liu Y, Yin G, Zang J, Shi J, Lake R K 2015 Appl. Phys. Lett. 107 152411
[129]	Mochizuki M, Watanabe Y 2015 Appl. Phys. Lett. 107 082409
[130]	Liu Y, Lei N, Zhao W, Liu W, Ruotolo A, Braun H B, Zhou Y 2017 Appl. Phys. Lett. 111 022406
[131]	Li Z, Zhang Y, Huang Y, Wang C, Zhang X, Liu Y, Zhou Y, Kang W, Koli S C, Lei N 2017 J. Magn. Magn. Mater. 455 19
[132]	Chauleau J Y, Legrand W, Reyren N, Maccariello D, Collin S, Popescu H, Bouzehouane K, Cros V, Jaouen N, Fert A 2018 Phys. Rev. Lett. 120 037202
[133]	Zhang S L, Bauer A, Burn D M, Milde P, Neuber E, Eng L M, Berger H, Pfleiderer C, van der Laan G, Hesjedal T 2016 Nano Lett. 16 3285
[134]	Zhang S L, Bauer A, Berger H, Pfleiderer C, van der Laan G, Hesjedal T 2016 Phys. Rev. B 93 214420
[135]	Maccariello D, Legrand W, Reyren N, Garcia K, Bouzehouane K, Collin S, Cros V, Fert A 2018 Nat. Nanotech. 13 233
[136]	Dovzhenko Y, Casola F, Schlotter S, Zhou T X, Bttner F, Walsworth R L, Beach G S D, Yacoby A 2016 arXiv: 161100673 [cond-mat]
[137]	Wang P, Yuan Z, Huang P, Rong X, Wang M, Xu X, Duan C, Ju C, Shi F, Du J 2015 Nat. Commun. 6 631
[138]	Li Z A, Zheng F, Tavabi A H, Caron J, Jin C, Du H, Kovacs A, Tian M, Farle M, Dunin-Borkowski R E 2017 Nano Lett. 17 1395
[139]	Fischer P 2010 Mater. Today 13 14
[140]	Monchesky T L 2015 Nat. Nanotech. 10 1008
[141]	Hamamoto K, Ezawa M, Nagaosa N 2016 Appl. Phys. Lett. 108 112401
[142]	Hanneken C, Otte F, Kubetzka A, Dup B, Romming N, von Bergmann K, Wiesendanger R, Heinze S 2015 Nat. Nanotech. 10 1039
[143]	Crum D M, Bouhassoune M, Bouaziz J, Schweflinghaus B, Blgel S, Lounis S 2015 Nat. Commun. 6 8541
[144]	Du H, Liang D, Jin C, Kong L, Stolt M J, Ning W, Yang J, Xing Y, Wang J, Che R, Zang J, Jin S, Zhang Y, Tian M 2015 Nat. Commun. 6 7637
[145]	Zeissler K, Shahbazi K, Massey J, Finizio S, Raabe J, Ma'Mari F A, Rosamond M C, Linfield E H, Moore T A, Burnell G, Marrows C H 2017 arXiv: 170606024 [cond-mat, physics:physics]
[146]	Yin G, Liu Y, Barlas Y, Zang J, Lake R K 2015 Phys. Rev. B 92 024411
[147]	Nikonov D E, Young I A 2014 J. Mater. Res. 29 2109
[148]	Rybakov F N, Borisov A B, Bogdanov A N 2013 Phys. Rev. B 87 094424
[149]	Song D, Li Z A, Caron J, Kovcs A, Tian H, Jin C, Du H, Tian M, Li J, Zhu J, Dunin-Borkowski R E 2018 Phys. Rev. Lett. 120 167204
[150]	Schneider S, Wolf D, Stolt M J, Jin S, Pohl D, Rellinghaus B, Schmidt M, Bchner B, Goennenwein S T B, Nielsch K, Lubk A 2018 Phys. Rev. Lett. 120 217201
[151]	Milde P, Khler D, Seidel J, Eng L M, Bauer A, Chacon A, Kindervater J, Mhlbauer S, Pfleiderer C, Buhrandt S, Schtte C, Rosch A 2013 Science 340 1076
[152]	Rybakov F N, Borisov A B, Blgel S, Kiselev N S 2015 Phys. Rev. Lett. 115 117201
[153]	Ahmed A S, Rowland J, Esser B D, Dunsiger S, McComb D W, Randeria M, Kawakami R K 2018 Phys. Rev. Mater. 2 041401(R)
[154]	Zheng F, Rybakov F N, Borisov A B, Song D, Wang S, Li Z A, Du H, Kiselev N S, Caron J, Kovcs A, Tian M, Zhang Y, Blgel S, Dunin-Borkowski R E 2017 arXiv: 170604654 [cond-mat]
[155]	Du H, Ning W, Tian M, Zhang Y 2013 EPL 101 37001
[156]	Liu Y, Du H, Jia M, Du A 2015 Phys. Rev. B 91 094425
[157]	Manke I, Kardjilov N, Schfer R, Hilger A, Strobl M, Dawson M, Grnzweig C, Behr G, Hentschel M, David C, Kupsch A, Lange A, Banhart J 2010 Nat. Commun. 1 125
[158]	Donnelly C, Guizar-Sicairos M, Scagnoli V, Gliga S, Holler M, Raabe J, Heyderman L J 2017 Nature 547 328
[159]	Yasuda K, Wakatsuki R, Morimoto T, Yoshimi R, Tsukazaki A, Takahashi K S, Ezawa M, Kawasaki M, Nagaosa N, Tokura Y 2016 Nat. Phys. 12 555
[160]	Liu C, Zang Y, Ruan W, Gong Y, He K, Ma X, Xue Q K, Wang Y 2017 Phys. Rev. Lett. 119 176809
[161]	Zhang J L, Jiao L, Pang G M, Yuan H Q 2015 Acta Phys. Sin. 64 217403 (in Chinese) [张警蕾, 焦琳, 庞贵明, 袁辉球 2015 物理学报 64 217403]
[162]	Wei W, Zhao G J, Kim D R, Jin C, Zhang J L, Ling L, Zhang L, Du H, Chen T Y, Zang J, Tian M, Chien C L, Zhang Y 2016 Phys. Rev. B 94 104503

施引文献

[1]	Berry M V 1984 Proc. R. Soc. Lond. A 392 45
[2]	Klitzing K V, Dorda G, Pepper M 1980 Phys. Rev. Lett. 45 494
[3]	Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[4]	Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[5]	Nagaosa N, Sinova J, Onoda S, MacDonald A H, Ong N P 2010 Rev. Mod. Phys. 82 1539
[6]	Skyrme T H R 1961 Proc. R. Soc. Lond. A 260 127
[7]	Bogdanov A N, Yablonskii A A 1989 Zh. Eksp. Teor. Fiz 95
[8]	Rler U K, Bogdanov A N, Pfleiderer C 2006 Nature 442 797
[9]	Fert A, Cros V, Sampaio J 2013 Nat. Nanotech. 8 152
[10]	Tsoi M, Fontana R E, Parkin S S P 2003 Appl. Phys. Lett. 83 2617
[11]	Shinjo T, Okuno T, Hassdorf R, Shigeto K, Ono T 2000 Science 289 930
[12]	Hubert A, Schfer R 2008 Magnetic Domains: The Analysis of Magnetic Microstructures (New York: Springer Science Business Media) pp99-101
[13]	Mermin N D 1979 Rev. Mod. Phys. 51 591
[14]	Armstrong M A 1983 Basic Topology (New York: Springer-Verlag) pp20-22
[15]	Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241
[16]	Moriya T 1960 Phys. Rev. 120 91
[17]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[18]	Yu X Z, Onose Y, Kanazawa N, Park J H, Han J H, Matsui Y, Nagaosa N, Tokura Y 2010 Nature 465 901
[19]	Zhang X, Zhou Y, Ezawa M, Zhao G P, Zhao W 2015 Sci. Rep. 5 11369
[20]	Zhang X, Ezawa M, Zhou Y 2015 Sci. Rep. 5 9400
[21]	Tomasello R, Martinez E, Zivieri R, Torres L, Carpentieri M, Finocchio G 2014 Sci. Rep. 4 6784
[22]	Kang W, Huang Y, Zhang X, Zhou Y, Zhao W 2016 Proc. IEEE 104 2040
[23]	Zhang S, Wang J, Zheng Q, Zhu Q, Liu X, Chen S, Jin C, Liu Q F, Jia C, Xue D 2015 New J. Phys. 17 023061
[24]	Garcia-Sanchez F, Sampaio J, Reyren N, Cros V, Kim J V 2016 New J. Phys. 18 075011
[25]	Finocchio G, Ricci M, Tomasello R, Giordano A, Lanuzza M, Puliafito V, Burrascano P, Azzerboni B, Carpentieri M 2015 Appl. Phys. Lett. 107 262401
[26]	Jiang S T, Li W 2003 Magnetism in Condensed Matter Physics (Beijing: Science Press) pp215-237 (in Chinese) [姜寿亭, 李卫 2003 凝聚态磁性物理 (北京: 科学出版社) 第215237页]
[27]	Rajaraman R 1982 Solitons and Instantons: An Introduction to Solitons and Instantons in Quantum Field Theory (Amsterdam, Netherlands: North-holland) pp14-16
[28]	Derrick G H 1964 J. Math. Phys. 5 1252
[29]	Hobart R H 1963 Proc. Phys. Soc. 82 201
[30]	Ruderman M A, Kittel C 1954 Phys. Rev. 96 99
[31]	Kasuya T 1956 Prog. Theor. Phys. 16 45
[32]	Yosida K 1957 Phys. Rev. 106 893
[33]	Feng D, Jin G J 2013 Condensed Matter Physics (Volume 1) (Beijing: Higher Education Press) pp514-522 (in Chinese) [冯端, 金国钧 2013 凝聚态物理学(上卷) (北京: 高等教育出版社) 第514522页]
[34]	Mhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Bni P 2009 Science 323 915
[35]	Levatić I, Popčević P, urija V, Kruchkov A, Berger H, Magrez A, White J S, Rnnow H M, Živković I 2016 Sci. Rep. 6 21347
[36]	Janoschek M, Garst M, Bauer A, Krautscheid P, Georgii R, Bni P, Pfleiderer C 2013 Phys. Rev. B 87 134407
[37]	Han J H, Zang J, Yang Z, Park J H, Nagaosa N 2010 Phys. Rev. B 82 094429
[38]	Neubauer A, Pfleiderer C, Binz B, Rosch A, Ritz R, Niklowitz P G, Bni P 2009 Phys. Rev. Lett. 102 186602
[39]	Zang J, Mostovoy M, Han J H, Nagaosa N 2011 Phys. Rev. Lett. 107 136804
[40]	Schulz T, Ritz R, Bauer A, Halder M, Wagner M, Franz C, Pfleiderer C, Everschor K, Garst M, Rosch A 2012 Nat. Phys. 8 301
[41]	Kong L, Zang J 2013 Phys. Rev. Lett. 111 067203
[42]	Mochizuki M, Yu X Z, Seki S, Kanazawa N, Koshibae W, Zang J, Mostovoy M, Tokura Y, Nagaosa N 2014 Nat. Mater. 13 241
[43]	Wilczek F, Shapere A 1989 Geometric Phases in Physics (Singapore: World Scientific) pp247-257
[44]	Jonietz F, Mhlbauer S, Pfleiderer C, Neubauer A, Mnzer W, Bauer A, Adams T, Georgii R, Bni P, Duine R A, Everschor K, Garst M, Rosch A 2010 Science 330 1648
[45]	Schulz T, Ritz R, Bauer A, Halder M, Wagner M, Franz C, Pfleiderer C, Everschor K, Garst M, Rosch A 2012 Nat. Phys. 8 301
[46]	Li Y, Kanazawa N, Yu X Z, Tsukazaki A, Kawasaki M, Ichikawa M, Jin X F, Kagawa F, Tokura Y 2013 Phys. Rev. Lett. 110 117202
[47]	Huang S X, Chien C L 2012 Phys. Rev. Lett. 108 267201
[48]	Kanazawa N, Onose Y, Arima T, Okuyama D, Ohoyama K, Wakimoto S, Kakurai K, Ishiwata S, Tokura Y 2011 Phys. Rev. Lett. 106 156603
[49]	Raju M, Yagil A, Soumyanarayanan A, Tan A K C, Almoalem A, Auslaender O M, Panagopoulos C 2017 arxiv: 170804084 [cond-mat]
[50]	Yokouchi T, Kanazawa N, Tsukazaki A, Kozuka Y, Kawasaki M, Ichikawa M, Kagawa F, Tokura Y 2014 Phys. Rev. B 89 064416
[51]	Tian Y, Ye L, Jin X F 2009 Phys. Rev. Lett. 103 087206
[52]	Hall E H 1879 Am. J. Math. 2 287
[53]	Chang M C, Niu Q 1996 Phys. Rev. B 53 7010
[54]	Sundaram G, Niu Q 1999 Phys. Rev. B 59 14915
[55]	Jungwirth T, Niu Q, MacDonald A H 2002 Phys. Rev. Lett. 88 207208
[56]	Lee M, Onose Y, Tokura Y, Ong N P 2007 Phys. Rev. B 75 172403
[57]	Freimuth F, Bamler R, Mokrousov Y, Rosch A 2013 Phys. Rev. B 88 214409
[58]	Franz C, Freimuth F, Bauer A, Ritz R, Schnarr C, Duvinage C, Adams T, Blgel S, Rosch A, Mokrousov Y, Pfleiderer C 2014 Phys. Rev. Lett. 112 186601
[59]	Denisov K S, Rozhansky I V, Averkiev N S, Lhderanta E 2017 Sci. Rep. 7 17204
[60]	Denisov K S, Rozhansky I V, Averkiev N S, Lhderanta E 2016 Phys. Rev. Lett. 117 027202
[61]	Tanigaki T, Shibata K, Kanazawa N, Yu X, Onose Y, Park H S, Shindo D, Tokura Y 2015 Nano Lett. 15 5438
[62]	Kanazawa N, Nii Y, Zhang X X, Mishchenko A S, De Filippis G, Kagawa F, Iwasa Y, Nagaosa N, Tokura Y 2016 Nat. Commun. 7 11622
[63]	Fujishiro Y, Kanazawa N, Shimojima T, Nakamura A, Ishizaka K, Koretsune T, Arita R, Miyake A, Mitamura H, Akiba K, Tokunaga M, Shiogai J, Kimura S, Awaji S, Tsukazaki A, Kikkawa A, Taguchi Y, Tokura Y 2018 Nat. Commun. 9 408
[64]	Ahmed A S, Esser B D, Rowland J, McComb D W, Kawakami R K 2017 J. Cryst. Growth 467 38
[65]	Du H, Che R, Kong L, Zhao X, Jin C, Wang C, Yang J, Ning W, Li R, Jin C, Chen X, Zang J, Zhang Y, Tian M 2015 Nat. Commun. 6 8504
[66]	Zheng F, Li H, Wang S, Song D, Jin C, Wei W, Kovcs A, Zang J, Tian M, Zhang Y, Du H, Dunin-Borkowski R E 2017 Phys. Rev. Lett. 119 197205
[67]	Gallagher J C, Meng K Y, Brangham J T, Wang H L, Esser B D, McComb D W, Yang F Y 2017 Phys. Rev. Lett. 118 027201
[68]	Yu X Z, Kanazawa N, Onose Y, Kimoto K, Zhang W Z, Ishiwata S, Matsui Y, Tokura Y 2011 Nat. Mater. 10 106
[69]	Tokunaga Y, Yu X Z, White J S, Rnnow H M, Morikawa D, Taguchi Y, Tokura Y 2015 Nat. Commun. 6 7638
[70]	Karube K, White J S, Morikawa D, Bartkowiak M, Kikkawa A, Tokunaga Y, Arima T, Rnnow H M, Tokura Y, Taguchi Y 2017 Phys. Rev. Mater. 1 074405
[71]	Seki S, Yu X Z, Ishiwata S, Tokura Y 2012 Science 336 198
[72]	Janson O, Rousochatzakis I, Tsirlin A A, Belesi M, Leonov A A, Rler U K, van den Brink J, Rosner H 2014 Nat. Commun. 5 5376
[73]	White J S, Pra K, Huang P, Omrani A A, Živković I, Bartkowiak M, Berger H, Magrez A, Gavilano J L, Nagy G, Zang J, Rnnow H M 2014 Phys. Rev. Lett. 113 107203
[74]	Kzsmrki I, Bordcs S, Milde P, Neuber E, Eng L M, White J S, Rnnow H M, Dewhurst C D, Mochizuki M, Yanai K, Nakamura H, Ehlers D, Tsurkan V, Loidl A 2015 Nat. Mater. 14 1116
[75]	Li W, Jin C, Che R, Wei W, Lin L, Zhang L, Du H, Tian M, Zang J 2016 Phys. Rev. B 93 060409
[76]	Fert A 1990 Mater. Sci. Forum 59-60 439
[77]	Heinze S, von Bergmann K, Menzel M, Brede J, Kubetzka A, Wiesendanger R, Bihlmayer G, Blgel S 2011 Nat. Phys. 7 713
[78]	Chen G, Mascaraque A, N'Diaye A T, Schmid A K 2015 Appl. Phys. Lett. 106 242404
[79]	Boulle O, Vogel J, Yang H, Pizzini S, Chaves D de S, Locatelli A, Menteș T O, Sala A, Buda-Prejbeanu L D, Klein O, Belmeguenai M, Roussign Y, Stashkevich A, Chrif S M, Aballe L, Foerster M, Chshiev M, Auffret S, Miron I M, Gaudin G 2016 Nat. Nanotech. 11 449
[80]	Woo S, Litzius K, Krger B, Im M Y, 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 Nat. Mater. 15 501
[81]	Jiang W, Upadhyaya P, Zhang W, Yu G, Jungfleisch M B, Fradin F Y, Pearson J E, Tserkovnyak Y, Wang K L, Heinonen O, te Velthuis S G E, Hoffmann A 2015 Science 349 283
[82]	Belabbes A, Bihlmayer G, Blgel S, Manchon A 2016 Sci. Rep. 6 24634
[83]	Moreau-Luchaire C, Moutafis C, Reyren N, Sampaio J, Vaz C A F, Horne N V, Bouzehouane K, Garcia K, Deranlot C, Warnicke P, Wohlhter P, George J M, Weigand M, Raabe J, Cros V, Fert A 2016 Nat. Nanotech. 11 444
[84]	Yang H, Thiaville A, Rohart S, Fert A, Chshiev M 2015 Phys. Rev. Lett. 115 267210
[85]	Yu G, Jenkins A, Ma X, Razavi S A, He C, Yin G, Shao Q, He Q L, Wu H, Li W, Jiang W, Han X, Li X, Bleszynski Jayich A C, Amiri P K, Wang K L 2018 Nano Lett. 18 980
[86]	Ma X, Yu G, Razavi S A, Sasaki S S, Li X, Hao K, Tolbert S H, Wang K L, Li X 2017 Phys. Rev. Lett. 119 027202
[87]	Woo S, Song K M, Zhang X, Zhou Y, Ezawa M, Liu X, Finizio S, Raabe J, Lee N J, Kim S I, Park S Y, Kim Y, Kim J Y, Lee D, Lee O, Choi J W, Min B C, Koo H C, Chang J 2018 Nat. Commun. 9 959
[88]	Zhang X, Zhou Y, Ezawa M 2016 Nat. Commun. 7 10293
[89]	Zhang X, Zhou Y, Ezawa M 2016 Sci. Rep. 6 24795
[90]	Barker J, Tretiakov O A 2016 Phys. Rev. Lett. 116 147203
[91]	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
[92]	Kim J V, Yoo M W 2017 Appl. Phys. Lett. 110 132404
[93]	Sun L, Cao R X, Miao B F, Feng Z, You B, Wu D, Zhang W, Hu A, Ding H F 2013 Phys. Rev. Lett. 110 167201
[94]	Gilbert D A, Maranville B B, Balk A L, Kirby B J, Fischer P, Pierce D T, Unguris J, Borchers J A, Liu K 2015 Nat. Commun. 6 8462
[95]	Li J, Tan A, Moon K W, Doran A, Marcus M A, Young A T, Arenholz E, Ma S, Yang R F, Hwang C, Qiu Z Q 2014 Nat. Commun. 5 4704
[96]	Miao B F, Sun L, Wu Y W, Tao X D, Xiong X, Wen Y, Cao R X, Wang P, Wu D, Zhan Q F, You B, Du J, Li R W, Ding H F 2014 Phys. Rev. B 90 174411
[97]	Wu H Z, Miao B F, Sun L, Wu D, Ding H F 2017 Phys. Rev. B 95 174416
[98]	Yu X Z, Tokunaga Y, Kaneko Y, Zhang W Z, Kimoto K, Matsui Y, Taguchi Y, Tokura Y 2014 Nat. Commun. 5 3198
[99]	Wang W, Zhang Y, Xu G, Peng L, Ding B, Wang Y, Hou Z, Zhang X, Li X, Liu E, Wang S, Cai J, Wang F, Li J, Hu F, Wu G, Shen B, Zhang X X 2016 Adv. Mater. 28 6887
[100]	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
[101]	Hoffmann M, Zimmermann B, Mller G P, Schrhoff D, Kiselev N S, Melcher C, Blgel S 2017 Nat. Commun. 8 308
[102]	Okubo T, Chung S, Kawamura H 2012 Phys. Rev. Lett. 108 017206
[103]	Leonov A O, Mostovoy M 2015 Nat. Commun. 6 8275
[104]	Banerjee A, Yan J, Knolle J, Bridges C A, Stone M B, Lumsden M D, Mandrus D G, Tennant D A, Moessner R, Nagler S E 2017 Science 356 1055
[105]	Do S H, Park S Y, Yoshitake J, Nasu J, Motome Y, Kwon Y S, Adroja D T, Voneshen D J, Kim K, Jang T H, Park J H, Choi K Y, Ji S 2017 Nat. Phys. 13 1079
[106]	Pereiro M, Yudin D, Chico J, Etz C, Eriksson O, Bergman A 2014 Nat. Commun. 5 4815
[107]	Hou Z, Ren W, Ding B, Xu G, Wang Y, Yang B, Zhang Q, Zhang Y, Liu E, Xu F, Wang W, Wu G, Zhang X, Shen B, Zhang Z 2017 Adv. Mater. 29 1701144
[108]	Ye L, Kang M, Liu J, von Cube F, Wicker C R, Suzuki T, Jozwiak C, Bostwick A, Rotenberg E, Bell D C, Fu L, Comin R, Checkelsky J G 2018 Nature 555 638
[109]	Hsu P J, Kubetzka A, Finco A, Romming N, von Bergmann K, Wiesendanger R 2017 Nat. Nanotech. 12 123
[110]	Romming N, Hanneken C, Menzel M, Bickel J E, Wolter B, von Bergmann K, Kubetzka A, Wiesendanger R 2013 Science 341 636
[111]	Pollard S D, Garlow J A, Yu J, Wang Z, Zhu Y, Yang H 2017 Nat. Commun. 8 14761
[112]	Montoya S A, Couture S, Chess J J, Lee J C T, Kent N, Henze D, Sinha S K, Im M Y, Kevan S D, Fischer P, McMorran B J, Lomakin V, Roy S, Fullerton E E 2017 Phys. Rev. B 95 024415
[113]	Soumyanarayanan A, Raju M, Oyarce A L G, Tan A K C, Im M Y, Petrović A P, Ho P, Khoo K H, Tran M, Gan C K, Ernult F, Panagopoulos C 2017 Nat. Mater. 16 898
[114]	Nagao M, So Y G, Yoshida H, Isobe M, Hara T, Ishizuka K, Kimoto K 2013 Nat. Nanotech. 8 325
[115]	Slonczewski J C 1996 J.Magn. Magn. Mater. 159 L1
[116]	Berger L 1996 Phys. Rev. B 54 9353
[117]	Zhang S, Li Z 2004 Phys. Rev. Lett. 93 127204
[118]	Iwasaki J, Mochizuki M, Nagaosa N 2013 Nat. Nanotech. 8 742
[119]	Bttner F, Lemesh I, Schneider M, Pfau B, Gnther C M, Hessing P, Geilhufe J, Caretta L, Engel D, Krger B, Viefhaus J, Eisebitt S, Beach G S D 2017 Nat. Nanotech. 12 1040
[120]	Zhou Y, Ezawa M 2014 Nat. Commun. 5 4652
[121]	Yu G, Upadhyaya P, Shao Q, Wu H, Yin G, Li X, He C, Jiang W, Han X, Amiri P K, Wang K L 2017 Nano Lett. 17 261
[122]	Sampaio J, Cros V, Rohart S, Thiaville A, Fert A 2013 Nat. Nanotech. 8 839
[123]	Grab J L, Rugar A E, Ralph D C 2017 Phys. Rev. B 97 184424
[124]	Finazzi M, Savoini M, Khorsand A R, Tsukamoto A, Itoh A, Du L, Kirilyuk A, Rasing T, Ezawa M 2013 Phys. Rev. Lett. 110 177205
[125]	Berruto G, Madan I, Murooka Y, Vanacore G M, Pomarico E, Rajeswari J, Lamb R, Huang P, Kruchkov A J, Togawa Y, LaGrange T, McGrouther D, Rnnow H M, Carbone F 2018 Phys. Rev. Lett. 120 117201
[126]	Fujita H, Sato M 2017 Phys. Rev. B 95 054421
[127]	Kryder M H, Gage E C, McDaniel T W, Challener W A, Rottmayer R E, Ju G, Hsia Y T, Erden M F 2008 Proc. IEEE 96 1810
[128]	Liu Y, Yin G, Zang J, Shi J, Lake R K 2015 Appl. Phys. Lett. 107 152411
[129]	Mochizuki M, Watanabe Y 2015 Appl. Phys. Lett. 107 082409
[130]	Liu Y, Lei N, Zhao W, Liu W, Ruotolo A, Braun H B, Zhou Y 2017 Appl. Phys. Lett. 111 022406
[131]	Li Z, Zhang Y, Huang Y, Wang C, Zhang X, Liu Y, Zhou Y, Kang W, Koli S C, Lei N 2017 J. Magn. Magn. Mater. 455 19
[132]	Chauleau J Y, Legrand W, Reyren N, Maccariello D, Collin S, Popescu H, Bouzehouane K, Cros V, Jaouen N, Fert A 2018 Phys. Rev. Lett. 120 037202
[133]	Zhang S L, Bauer A, Burn D M, Milde P, Neuber E, Eng L M, Berger H, Pfleiderer C, van der Laan G, Hesjedal T 2016 Nano Lett. 16 3285
[134]	Zhang S L, Bauer A, Berger H, Pfleiderer C, van der Laan G, Hesjedal T 2016 Phys. Rev. B 93 214420
[135]	Maccariello D, Legrand W, Reyren N, Garcia K, Bouzehouane K, Collin S, Cros V, Fert A 2018 Nat. Nanotech. 13 233
[136]	Dovzhenko Y, Casola F, Schlotter S, Zhou T X, Bttner F, Walsworth R L, Beach G S D, Yacoby A 2016 arXiv: 161100673 [cond-mat]
[137]	Wang P, Yuan Z, Huang P, Rong X, Wang M, Xu X, Duan C, Ju C, Shi F, Du J 2015 Nat. Commun. 6 631
[138]	Li Z A, Zheng F, Tavabi A H, Caron J, Jin C, Du H, Kovacs A, Tian M, Farle M, Dunin-Borkowski R E 2017 Nano Lett. 17 1395
[139]	Fischer P 2010 Mater. Today 13 14
[140]	Monchesky T L 2015 Nat. Nanotech. 10 1008
[141]	Hamamoto K, Ezawa M, Nagaosa N 2016 Appl. Phys. Lett. 108 112401
[142]	Hanneken C, Otte F, Kubetzka A, Dup B, Romming N, von Bergmann K, Wiesendanger R, Heinze S 2015 Nat. Nanotech. 10 1039
[143]	Crum D M, Bouhassoune M, Bouaziz J, Schweflinghaus B, Blgel S, Lounis S 2015 Nat. Commun. 6 8541
[144]	Du H, Liang D, Jin C, Kong L, Stolt M J, Ning W, Yang J, Xing Y, Wang J, Che R, Zang J, Jin S, Zhang Y, Tian M 2015 Nat. Commun. 6 7637
[145]	Zeissler K, Shahbazi K, Massey J, Finizio S, Raabe J, Ma'Mari F A, Rosamond M C, Linfield E H, Moore T A, Burnell G, Marrows C H 2017 arXiv: 170606024 [cond-mat, physics:physics]
[146]	Yin G, Liu Y, Barlas Y, Zang J, Lake R K 2015 Phys. Rev. B 92 024411
[147]	Nikonov D E, Young I A 2014 J. Mater. Res. 29 2109
[148]	Rybakov F N, Borisov A B, Bogdanov A N 2013 Phys. Rev. B 87 094424
[149]	Song D, Li Z A, Caron J, Kovcs A, Tian H, Jin C, Du H, Tian M, Li J, Zhu J, Dunin-Borkowski R E 2018 Phys. Rev. Lett. 120 167204
[150]	Schneider S, Wolf D, Stolt M J, Jin S, Pohl D, Rellinghaus B, Schmidt M, Bchner B, Goennenwein S T B, Nielsch K, Lubk A 2018 Phys. Rev. Lett. 120 217201
[151]	Milde P, Khler D, Seidel J, Eng L M, Bauer A, Chacon A, Kindervater J, Mhlbauer S, Pfleiderer C, Buhrandt S, Schtte C, Rosch A 2013 Science 340 1076
[152]	Rybakov F N, Borisov A B, Blgel S, Kiselev N S 2015 Phys. Rev. Lett. 115 117201
[153]	Ahmed A S, Rowland J, Esser B D, Dunsiger S, McComb D W, Randeria M, Kawakami R K 2018 Phys. Rev. Mater. 2 041401(R)
[154]	Zheng F, Rybakov F N, Borisov A B, Song D, Wang S, Li Z A, Du H, Kiselev N S, Caron J, Kovcs A, Tian M, Zhang Y, Blgel S, Dunin-Borkowski R E 2017 arXiv: 170604654 [cond-mat]
[155]	Du H, Ning W, Tian M, Zhang Y 2013 EPL 101 37001
[156]	Liu Y, Du H, Jia M, Du A 2015 Phys. Rev. B 91 094425
[157]	Manke I, Kardjilov N, Schfer R, Hilger A, Strobl M, Dawson M, Grnzweig C, Behr G, Hentschel M, David C, Kupsch A, Lange A, Banhart J 2010 Nat. Commun. 1 125
[158]	Donnelly C, Guizar-Sicairos M, Scagnoli V, Gliga S, Holler M, Raabe J, Heyderman L J 2017 Nature 547 328
[159]	Yasuda K, Wakatsuki R, Morimoto T, Yoshimi R, Tsukazaki A, Takahashi K S, Ezawa M, Kawasaki M, Nagaosa N, Tokura Y 2016 Nat. Phys. 12 555
[160]	Liu C, Zang Y, Ruan W, Gong Y, He K, Ma X, Xue Q K, Wang Y 2017 Phys. Rev. Lett. 119 176809
[161]	Zhang J L, Jiao L, Pang G M, Yuan H Q 2015 Acta Phys. Sin. 64 217403 (in Chinese) [张警蕾, 焦琳, 庞贵明, 袁辉球 2015 物理学报 64 217403]
[162]	Wei W, Zhao G J, Kim D R, Jin C, Zhang J L, Ling L, Zhang L, Du H, Chen T Y, Zang J, Tian M, Chien C L, Zhang Y 2016 Phys. Rev. B 94 104503

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