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The magneto-optical Kerr effect (MOKE) manifests itself as the rotation of the polarization plane when a linearly polarized light is reflected at the interface of magnetic materials.The MOKE reveals the magnetization of the optical properties of magnetic materials and can be characterized by the dielectric tensor containing the magneto-optical constant.Thus,exploring the MOKE requires very precise determination of the magneto-optical constant.The photonic spin Hall effect (PSHE),which corresponds to the lateral and in-plane spin-dependent splitting of the beam,can be used as an effective method to characterize the magneto-optical constant due to its advantage of being extremely sensitive to changes in the physical parameters of the material.Most of the previous studies only consider the case of a single thickness of magnetic material and a single MOKE and need to introduce complex weak measurement techniques to observe the photonic spin Hall effect.In this work,we theoretically investigate the in-plane spin angular shifts in three MOKE cases in bulk and ultrathin magnetic materials.We can effectively tune the in-plane angular displacement of different magnetic material thicknesses by changing the magnetic field direction corresponding to different MOKEs and changing the magneto-optical constants (including amplitude and phase).The research results show that in the case of bulk and ultrathin magnetic materials,the internal spin angular displacement under different MOKEs will show different trends when the magneto-optical constants change the amplitude and phase,especially in ultra-thin magnetic materials.In the lateral Kerr effect in thin materials,the photon in-plane angular displacement does not affect the change of the magneto-optical constant,but in other cases,the amplitude relative to the phase has a much larger effect on the photon in-plane angular displacement.In this regard,we propose a new method to directly determine the amplitude and phase of the magneto-optical constant using the huge in-plane spin angular displacement without considering the weak measurements and can judge different magneto-optical Kerr according to the variation of the in-plane angular displacement in the bulk and ultrathin magnetic materials.This method not only provides a new probe for measuring magneto-optical constants but also expands the study of spin photonics.
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[1] Stanciu C D, Hansteen F, Kimel A V, Kirilyuk A, Tsukamoto A, Itoh A, and Rasing T 2007 Phys. Rev. Lett. 99(4), 047601
[2] Lee O J, You L, Jang J, Subramanian V, and Salahuddin S. 2015 Appl. Phys. Lett. 107(25), 252401
[3] Zhao X, Zhang X, Yang H, Cai W, Zhao Y, Wang Z, and Zhao W 2019 Nanotech. 30(33), 335707
[4] Hansteen. F, Kimel. A, Kirilyuk. A, and Rasing. T 2005 Phys. Rev. Lett. 95(4), 047402
[5] Kerr LL D J, 1877Philos. Mag. J. Sci. 3(19), 321-343
[6] Moog E R, and Bader S D 1985 Superlattices Microstruct. 1(6), 543-552
[7] Soldatov I V, and Schäfer R 2017 J. Appl. Phys. 122(15), 153906
[8] Akahane K, Kimura T, and Otani Y 2004 J. Magn. Soci. JP. 28(2), 122-127
[9] Kato Y K, Myers R C, Gossard A C, and Awschalom D D 2004 Sci. 306(5703), 1910-1913
[10] Grunin A A, Zhdanov A G, Ezhov A A, Ganshina E A, and Fedyanin A A 2010 Appl. Phys. Lett. 97(26), 261908
[11] Florczak J M, and Dahlberg E D 1990 J. appl. Phys. 67(12), 7520-7525
[12] Zak J, Moog E R, Liu C, and Bader S D 1990 J. appl. phys. 68(8), 4203-4207
[13] Qiu Z Q, and Bader S D 2000 Rev. Sci. Instrum. 71(3), 1243-1255
[14] Ren J, Li Y, Lin Y, Qin Y, Wu R, Yang J, Xiao Y, Yang H Y, and Gong Q 2012 Appl. Phys. Lett. 101(17), 171103
[15] He Y, Xie L, Qiu J, Luo L, Liu X, Li Z, Zhang Z, and Du J. 2019 J. Appl. Phys. 125(2), 023101
[16] Li G, Xiang J, Zhang Y, Deng F, Panmai M, Zhuang W, Lan S, and Lei D Y 2021 Nano Lett. 21(6), 2453-2460
[17] Tian J, Zuo Y, Hou M, and Jiang Y 2021 Opt. Express. 29(6), 8763-8769
[18] Qiu X, Zhou X, Hu D, Du J, Gao F, Zhang Z, and Luo H 2014 Appl. Phys. Lett. 105(13), 131111
[19] Li T, Wang Q, Taallah A, Zhang S, Yu T, and Zhang Z 2020 Opt. Express. 28(20), 29086-29097
[20] Onoda M, Murakami S, and Nagaosa N 2004 Phys. Rev. Lett. 93(8), 083901
[21] Bliokh K Y, Rodriguez-Fortuno F J, Nori F, and Zayats A V 2015 Nat. Photon. 9(12), 796-808
[22] Bliokh K Y, and Nori F 2015 Phys. Rep. 592,1-38
[23] Kalhor F, Thundat T, and Jacob Z 2016 Appl. Phys. Lett. 108, 061102
[24] Ling X, Zhou X, Huang K, Liu Y, Qiu C, Luo H, and Wen S 2017 Rep. Prog. Phys. 80 (6), 066401
[25] Ling X H, Yi X N, Zhou X X, Liu Y C, Shu W X, Luo H L, Wen S C 2014 Appl. Phys. Lett. 105 151101
[26] Li Y Q, Wu Z S, Zhang Y Y, Wang M J 2014 Chin. Phys. B 23 074202
[27] Shitrit N, Ulevich I. Y, Maguid E, Ozeri D, Eksler D V, Kleiner V, and Hasman E 2013 Sci.340, 724
[28] Zhou X, Sheng L, and Ling X 2018 Sci. Rep. 8, 1221
[29] Xie L, Qiu X, Luo L, Liu X, Li Z, Zhang Z, Du J, and Wang D 2017 Appl. Phys. Lett. 111, 191106
[30] Zhou X, Xiao Z, Luo H, and Wen S 2012 Phys. Rev. A85, 043809
[31] Zhou X, Ling X, Luo H, and Wen S 2012 Appl. Phys. Lett. 101, 251602
[32] Bliokh K Y, Smirnova D, and Nori F 2015 Sci. 348, 1448
[33] Qin Y, Li Y, Feng X, Liu Z, He H, Xiao Y, and Gong Q 2010 Opt. Express. 18, 16832-16839
[34] Zhang W, Wu W, Chen S, Zhang J, Ling X, Shu W, Lou H, and Wen S 2018 Photon.Res. 6, 511-516
[35] Zhou X, Zhang J, Ling X, Chen S, Luo H, and Wen S 2013 Phys. Rev. A88 (5), 053840
[36] Kort-Kamp W J. M 2017 Phys. Rev. Lett. 119 (14), 147401
[37] Nalitov A V, Malpuech G, Terças H, and Solnyshkov D D 2015 Phys. Rev. Lett. 114, 026803
[38] Cai L, Liu M, Chen S, Liu Y, Shu W, Luo H, and Wen S 2017 Phys. Rev. A 95(1), 013809
[39] Kort-Kamp W J M, Culchac F J, Capaz R B, and Pinheiro F A 2018 Phys. Rev. B 98, 195431
[40] Zhou X, Xiao Z, Luo H, and Wen S 2012 Phys. Rev. A85(4), 043809
[41] Zhou X, Ling X, Luo H, and Wen S 2012 Appl. Phys. Lett. 101, 251602
[42] Wu Y, Sheng L, Xie L, Li S, Nie P, Chen Y, Zhou X, and Ling X 2020 Carbon. 166, 396–404
[43] Chen S, Ling X, Shu W, Luo H, and Wen S 2020 Phys. Rev. Appl. 13(1), 014057
[44] Yang Z J and Scheinfein M R 1993 J. appl. phys. 74(11), 6810-6823
[45] Bliokh K Y, Kivshar Y S, and Nori F 2014 Phys. Rev. Lett. 113(3),033601
[46] You C Y, and Shin S C 1998 J. appl. phys. 84(1), 541-546
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