[1] Skyrme T H R 1962 Nucl. Phys. 31 556 [2] Rossler U K, Bogdanov A N and Pfleiderer C 2006 Nature 442 797 [3] Han J H, Zang J D, Yang Z H, Park J H and Nagaosa N 2010 Phys. Rev. B 82 184403 [4] Wang Y P, Ji W X, Zhang C W, Li P, Zhang S F, Wang P J, Li S S and Yan S S 2017 Appl. Phys. Lett. 110 213101 [5] Zhang S J, Zhang C W, Zhang S F, Ji W X, Li P, Wang P J, Li S S and Yan S S 2017 Phys. Rev. B 96 205433 [6] Zhang M H, Zhang C W, Wang P J and Li S S 2018 Nanoscale 10 20226 [7] Li S S, JiWX, Hu S J, Zhang CWand Yan S S 2017 ACS Appl. Mater. Interfaces 9 41443 [8] Jonietz F, Muhlbauer S, Pfleiderer C, Neubauer A, Munzer W, Bauer A, Adams T, Georgii R, Boni P, Duine R A, Everschor K, Garst M and Rosch A 2010 Science 330 1648 [9] Fert A, Cros V and Sampaio J 2013 Nat. Nanotechnol. 8 152 [10] Tomasello R, Martinez E, Zivieri R, Torres L, CarpentieriMand Finocchio G 2014 Sci. Rep. 4 6784 [11] Nagaosa N and Tokura Y 2013 Nat. Nanotechnol. 8 899 [12] Dzyaloshinsky I 1958 J. Phys. Chem. Solids 4 241 [13] Bogdanov A and Hubert A 1994 J. Magn. Magn. Mater. 138 255 [14] Moriya T 1960 Phys. Rev. 120 91 [15] Woo S, Litzius K, Kruger 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, Klaui M and Beach G S D 2016 Nat. Mater. 15 501 [16] Soumyanarayanan A, Raju M, Gonzalez Oyarce A L, Tan A K C, Im M Y, Petrovic A P, Ho P, Khoo K H, Tran M, Gan C K, Ernult F and Panagopoulos C 2017 Nat. Mater. 16 898 [17] Zhang X C, Zhou Y, Song K M, Park T E, Xia J, Ezawa M, Liu X, Zhao W S, Zhao G P and Woo S 2020 J. Phys. Condens. Matter 32 143001 [18] Everschor-Sitte K, Masell J, Reeve R M and Klaui M 2018 J. Appl. Phys. 124 240901 [19] Jiang W, Chen G, Liu K, Zang J D, te Velthuis S G E and Hoffmann A 2017 Phys. Rep. 704 1 [20] 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, Roussigne Y, Stashkevich A, Cherif S M, Aballe L, Foerster M, Chshiev M, Auffret S, Miron I M and Gaudin G 2016 Nat. Nanotechnol. 11 449 [21] Legrand W, Maccariello D, Ajejas F, Collin S, Vecchiola A, Bouzehouane K, Reyren N, Cros V and Fert A 2019 Nat. Mater. 19 34 [22] Zeissler K, Finizio S, Shahbazi K, Massey J, Ma’Mari F A, Bracher D M, Kleibert A, Rosamond M C, Linfield E H, Moore T A, Raabe J, Burnell G and Marrows C H 2018 Nat. Nanotechnol. 13 1161 [23] Yu X Z, Koshibae W, Tokunaga Y, Shibata K, Taguchi Y, Nagaosa N and Tokura Y 2018 Nature 564 95 [24] Karube K, White J S, Reynolds N, Gavilano J L, Oike H, Kikkawa A, Kagawa F, Tokunaga Y, Ronnow H M, Tokura Y and Taguchi Y 2016 Nat. Mater. 15 1237 [25] Zhang Y, Xu C S, Chen P, Nahas Y, Prokhorenko S and Bellaiche L 2020 Phys. Rev. B 102 054435 [26] Ding B, Li Z F, Xu G Z, Li H, Hou Z P, Liu E K, Xi X K, Xu F, Yao Y and Wang W H 2020 Nano Lett. 20 868 [27] Wang M L, Li S S, Wang Y P, Dong X J, Li F, Ji W X and Zhang C W 2025 Phys. Rev. B 112 174414 [28] Wu B, Song Y L, Ji W X, Wang P J, Zhang S F and Zhang C W 2023 Phys. Rev. B 107 214419 [29] Sun H, Li S S, Ji W X and Zhang C W 2022 Phys. Rev. B 105 195112 [30] Shen L, Xia J, Zhang X C, Ezawa M, Tretiakov O A, Liu X, Zhao G P and Zhou Y 2020 Phys. Rev. Lett. 124 157202 [31] Goebel B, Mertig I and Tretiakov O A 2021 Phys. Rep. 895 1 [32] Zhang S L, Wang W W, Burn D M, Peng H, Berger H, Bauer A, Pfleiderer C, van der Laan G and Hesjedal T 2018 Nat. Commun. 9 2115 [33] Jin C L, Wang J B, Wang W, Song C L, Wang J F, Xia H L and Liu Q F 2018 Phys. Rev. Appl. 9 044007 [34] Hoffmann M, Zimmermann B, Muller G P, Schurhoff D, Kiselev N S, Melcher C and Blugel S 2017 Nat. Commun. 8 308 [35] Rybakov F N, Borisov A B, Blugel S and Kiselev N S 2016 New J. Phys. 18 045002 [36] Lu A Y, Zhu H, Xiao J, Chuu C P, Han Y, Chiu M H, Cheng C C, Yang C W, Wei K H, Yang Y, Wang Y, Sokaras D, Nordlund D, Yang P, Muller D A, Chou M Y, Zhang X and Li L J 2017 Nat. Nanotechnol. 12 744 [37] Zhang J, Jia S, Kholmanov I, Dong L, Er D, Chen W B, Guo H, Jin Z H, Shenoy V B, Shi L and Lou J 2017 ACS Nano 11 8192 [38] Dong L, Lou J and Shenoy V B 2017 ACS Nano 11 8242 [39] Chen M, Yu S B, Zhang D and Li J 2023 Chin. Phys. Lett. 40 087201 [40] Qi Y X, Zhao J and Zeng H 2024 Chin. Phys. B 33 096302 [41] Yuan J R, Yang Y M, Cai Y Q, Wu Y H, Chen Y P, Yan X H and Shen L 2020 Phys. Rev. B 101 094420 [42] Tong Q J, Liu F, Xiao J and Yao W 2018 Nano Lett. 18 7194 [43] Xiao D, Liu G B, Feng W X, Xu X D and Yao W 2012 Phys. Rev. Lett. 108 196802 [44] Yao W, Xiao D and Niu Q 2008 Phys. Rev. B 77 235406 [45] Hu T, Jia F H, Zhao G D, Wu J C, Stroppa A and Ren W 2018 Phys. Rev. B 97 235404 [46] Chaurasiya R and Dixit A 2019 Appl. Surf. Sci. 490 204 [47] Yagmurcukardes M, Qin Y, Ozen S, Sayyad M, Peeters F M, Tongay S and Sahin H 2020 Appl. Phys. Rev. 7 011311 [48] Guo Y D, Zhang Y, Yuan S M, Wang B and Wang J J 2018 Nanoscale 10 18036 [49] Torun E, Sahin H, Cahangirov S, Rubio A and Peeters F M 2016 J. Appl. Phys. 119 074307 [50] Wu Y L, Zeng Z Y, Geng H Y and Chen X R 2024 J. Appl. Phys. 136 093904 [51] Wang Z W, Liang J H and Yang H X 2023 Chin. Phys. Lett. 40 017501 [52] Zhao Y H, Lin L F, Zhou Q H, Li Y H, Yuan S J, Chen Q, Dong S and Wang J L 2018 Nano Lett. 18 2943 [53] Webster L and Yan J A 2018 Phys. Rev. B 98 144411 [54] Han P, Zhang J T, Shi S B, Wang Z H, Xu T and Wang J 2025 Appl. Phys. Lett. 127 102406 [55] Han Y T, Ji W X, Wang P J, Li P and Zhang C W 2023 Nanoscale 15 6830 [56] Cui Q R, Liang J H, Shao Z J, Cui P and Yang H X 2020 Phys. Rev. B 102 094425 [57] Muller G P, Hoffmann M, Disselkamp C, Schurhoff D, Mavros S, Sallermann M, Kiselev N S, Jonsson H and Blugel S 2019 Phys. Rev. B 99 224414 [58] Liu L, Ren X, Xie J H, Cheng B, Liu W K, An T Y, Qin H W and Hu J F 2019 Appl. Surf. Sci. 480 300 |