[1] Skyrme T H R 1962 Nucl. Phys. 31 556 doi: 10.1016/0029-5582(62)90775-7
[2] Adkins G S, Nappi C R, Witten E 1983 Nucl. Phys. 228 3
[3] Khawaja U AI, Stoof H 2001 Nature 411 918 doi: 10.1038/35082010
[4] Su S W, Liu I K, Tsai Y C, Liu W M, Gou S C 2012 Phys. Rev. A 86 023601 doi: 10.1103/PhysRevA.86.023601
[5] Fukuda J I, Zumer S 2011 Nat. Commun 2 246 doi: 10.1038/ncomms1250
[6] Duzgun A, Selinger J, Saxena A 2018 Phys. Rev. E 97 062706 doi: 10.1103/PhysRevE.97.062706
[7] Robler U K, Bogdanov A N, Pfleiderer C 2006 Nature 442 7104
[8] Tokura Y, Kanazawa N 2021 Chem. Rev. 121 5
[9] Muhlbauer S, Binz B, Jonietz F, Pfleiderer C, Rosch A, Neubauer A, Georgii R, Boni P 2009 Science 323 5916
[10] Yu X Z, Koshibae W, Tokunaga Y, Shibata K, Taguchi Y, Nagaosa N, Tokura Y 2018 Nature 564 95 doi: 10.1038/s41586-018-0745-3
[11] 陈崇, 马铭远, 潘峰, 宋成 2024 物理学报 73 058502 doi: 10.7498/aps.73.20231908 Chen C, Ma M Y, Pan F, Song C 2024 Acta Phys. Sin. 73 058502 doi: 10.7498/aps.73.20231908
[12] Zhang X C, Xia J, Zhou Y, Wang D W, Liu X X, Zhao W S, Ezawa M 2016 Phys. Rev. B 94 094420 doi: 10.1103/PhysRevB.94.094420
[13] Zhang S L, Kronast F, Van der Laan G, Hesjedal T 2018 Nano Lett. 18 2
[14] Bhukta M M M, Mishra A, Pradhan G, Mallick S, Singh B B, Bedanta S 2018 arXiv: 1810: 08262
[15] Kezsmarki I, Bordacs S, Milde P, et al. 2015 Nat. Mater. 14 1116 doi: 10.1038/nmat4402
[16] Nayak A K, Kumar V, Ma T, Werner P, Pippel E, Sahoo R, Damay F, Robler U K, Felser C, Parkin S S P 2017 Nature 548 561 doi: 10.1038/nature23466
[17] Gilbert D A, Maranville B B, Balk A L, et al. 2015 Nat. Commun. 6 8462 doi: 10.1038/ncomms9462
[18] Xia J, Zhang X C, Ezawa M, Tretiakov O A, Hou Z P, Wang W H, Zhao G P, Liu X X, Diep H T, Zhou Y 2020 Appl. Phys. Lett. 117 012403 doi: 10.1063/5.0012706
[19] Nagaosa N, Tokura Y 2013 Nat. Nanotechnol. 8 899 doi: 10.1038/nnano.2013.243
[20] Fert A, Reyren N, Cros V 2017 Nat. Rev. Mater. 2 17031 doi: 10.1038/natrevmats.2017.31
[21] Du L P, Yang A P, Zayats A V, Yuan X C 2019 Nat. Phys. 15 650 doi: 10.1038/s41567-019-0487-7
[22] Davis T J, Janoschka D, Dreher P, Frank B, Meyer zu Heringdorf F J, Giessen H 2020 Science 368 6489
[23] Tsesses S, Ostrovsky E, Cohen K, Gjonaj B, Lindner N H, Bartal G 2018 Science 361 6406
[24] Bai C Y, Chen J, Zhang Y X, Zhang D W 2020 Opt. Express 28 10320 doi: 10.1364/OE.384718
[25] Bliokh K Y, Rodriguez-Fortuno F J, Nori F, Zayats A V 2015 Nat. Photonics 9 796 doi: 10.1038/nphoton.2015.201
[26] Shi P, Du L P, Yuan X C 2020 Nanophotonics 9 4619 doi: 10.1515/nanoph-2020-0430
[27] Karnieli A, Tsesses S, Bartal G, Arie A 2021 Nat. Commun. 12 1092 doi: 10.1038/s41467-021-21250-z
[28] Deng Z L, Shi T, Krasnok A, Li X P, Alu A 2022 Nat. Commun. 13 1
[29] Li X H, Liu L L, Zhou Z X, Shen J R, Zhang Y R, Han G D, Li Z 2022 Adv. Opt. Mater. 10 15
[30] Shi C Z, Zhao R K, Long Y, Yang S, Wang Y, Chen H, Ren J, Zhang X 2019 Natl. Sci. Rev. 6 4
[31] Burns L, Bliokh K Y, Nori F, Dressel J 2020 New. J. Phys. 22 053050 doi: 10.1088/1367-2630/ab7f91
[32] Long Y, Zhang D M, Yang C W, Ge J M, Chen H, Ren J 2020 Nat. Commun. 11 4716 doi: 10.1038/s41467-020-18599-y
[33] Bliokh K Y, Nori F 2019 Phys. Rev. B 99 020301
[34] Bliokh K Y, Nori F 2019 Phys. Rev. B 99 174310 doi: 10.1103/PhysRevB.99.174310
[35] Weiner M, Ni X, Alu A, Khanikaev A B 2022 Nat. Commun. 13 6332 doi: 10.1038/s41467-022-34072-4
[36] Long Y, Ge H, Zhang D M, Xu X Y, Ren J, Lu M H, Bao M, Chen H, Chen Y F 2020 NSR 7 6
[37] Sun Q L, Peng Y G, Gao F, Li B, Zhu X F 2023 Phys. Rev. Appl. 20 024025 doi: 10.1103/PhysRevApplied.20.024025
[38] Ge H, Xu X Y, Liu L, Xu R, Lin Z K, Yu S Y, Bao M, Jiang J H, Lu M H, Chen Y F 2021 Phys. Rev. Lett. 127 144502 doi: 10.1103/PhysRevLett.127.144502
[39] Hu P, Wu H W, Sun W J, Zhou N, Chen X, Yang Y Q, Sheng Z Q 2023 Appl. Phys. Lett. 122 022201 doi: 10.1063/5.0131777
[40] Cselyuszka N, Secujski M, Engheta N, Crnojevic-Bengin V 2016 New. J. Phys. 18 103006 doi: 10.1088/1367-2630/18/10/103006
[41] Zhu J, Chen Y Y, Zhu X F, Garcia-Vidal F J, Yin X B, Zhang W L, Zhang X 2013 Sci. Rep. 3 1728 doi: 10.1038/srep01728
[42] Jia H, Lu M H, Ni X, Bao M, Li X D 2014 J. Appl. Phys. 116 124504 doi: 10.1063/1.4895990
[43] Ooi K, Okada T, Tanaka K 2011 Phys. Rev. B 84 115405 doi: 10.1103/PhysRevB.84.115405
[44] Xie P X, Sheng Z Q, Huang Z X, Hu P, Wu H W 2023 Appl. Phys. Lett. 122 222202 doi: 10.1063/5.0151926
[45] Morse P, Ingard K 1986 Theoretical Acoustics (Princeton: Princeton University Press
[46] 张孝悦, 徐华锋, 陈婉娜, 周农, 孙文军, 吴宏伟 2024 物理学报 73 144301 doi: 10.7498/aps.73.20240484 Zhang X Y, Xu H F, Chen W N, Zhou N, Sun W J, Wu H W 2024 Acta Phys. Sin. 73 144301 doi: 10.7498/aps.73.20240484