We experimentally investigate magnetization reversal curves for a GeTe topological semimetal. In addition to the known lattice diamagnetic response, we observe narrow magnetization loop in low fields, which should not be expected for non-magnetic material. The diamagnetic hysteresis loop is unusual, so the saturation level is negative in positive fields, and the loop is passed clockwise, in contrast to standard ferromagnetic behavior. We show, that the experimental hysteresis curves can not be obtained from standard ferromagnetic ones by adding/subtracting of any linear dependence, or even by considering several interacting magnetic phases. The latter possibility is also eliminated by the remanence plots technique (Henkel or δM plots). We explain our results as a direct consequence of the correlation between ferroelectricity and spin-polarized surface states in GeTe, similarly to magnetoelectric structures.
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REFERENCES
N. P. Armitage, E. J. Mele, and A. Vishwanath, Rev. Mod. Phys. 90, 015001 (2018); arxiv:1705.01111.
M. Z. Hasan and C. L. Kane, Rev. Mod. Phys. 82, 3045 (2010).
M. Büttiker, Phys. Rev. B 38, 9375 (1988).
E. V. Deviatov, Phys.-Uspekhi 50(2), 197 (2007).
S.-X. Wang, H.-R. Chang, and J. Zhou, Phys. Rev. B 96, 115204 (2017).
H.-R. Chang, J. Zhou, S.-X. Wang, W.-Y. Shan, and D. Xiao, Phys. Rev. B 92, 241103 (2015).
M. M. Valizadeh, Int. J. Mod. Phys. B 30, 1650234 (2016).
J.-J. Zhu, D.-X. Yao, S.-C. Zhang, and K. Chang, Phys. Rev. Lett. 106, 097201 (2011).
K. Everschor-Sitte, J. Masell, R.M. Reeve, and M. Klaui, J. Appl. Phys. 124, 240901 (2018).
Y. Y. Dai, H. Wang, P. Tao, T. Yang, W. J. Ren, and Z. D. Zhang, Phys. Rev. B 88, 054403 (2013).
C. Back et al., Journal of Physics D: Applied Physics 53, 363001 (2020).
J. Kang and J. Zang, Phys. Rev. B 91, 134401 (2015).
S. Muhlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, and P. Boni, Science 323, 915тAY919 (2009).
B. A. Bernevig, J. Orenstein, and S.-C. Zhang, Phys. Rev. Lett. 97, 236601 (2006).
J. D. Koralek, C. P. Weber, J. Orenstein, B. A. Bernevig, Sh.-Ch. Zhang, S. Mack, and D. D. Awschalom, Nature 458, 610тAY613 (2009).
N. Morali, R. Batabyal, P. K. Nag, E. Liu, Q. Xu, Y. Sun, B. Yan, C. Felser, N. Avraham, and H. Beidenkopf, Science 365, 1286 (2019);
M.-G. Han, J. A. Garlow, Y. Liu, H. Zhang, J. Li, D. Di-Marzio, M. W. Knight, C. Petrovic, D. Jariwala, and Y. Zhu, Nano Lett. 19(11), 7859 (2019).
B. Ding, Z. Li, G. Xu, H. Li, Zh. Hou, E. Liu, X. Xi, F. Xu, Y. Yao, and W. Wang, Nano Lett. 20, 868 (2020).
G. D. Nguyen, J. Lee, T. Berlijn, Q. Zou, S.M. Hus, J. Park, Zh. Gai, Ch. Lee, and A.-P. Li, Phys. Rev. B 97, 014425 (2018).
Y. Araki, Ann. Phys. (Berlin) 532, 1900287 (2020).
P. K. Das, D. D. Sante, I. Vobornik et al. (Collaboration), Nat. Commun. 7, 10847 (2016).
B. Feng, Y.-H. Chan, Y. Feng et al. (Collaboration), Phys. Rev. B 94, 195134 (2016).
D. A. Pshenay-Severin, Y. V. Ivanov, A. A. Burkov, and A. T. Burkov, J. Phys. Condens. Matter 30, 135501 (2018).
S.-Y. Xu, I. Belopolski, D. S. Sanchez et al. (Collaboration), Phys. Rev. Lett. 116, 096801 (2016).
S. Varotto, L. Nessi, S. Cecchi et al. (Collaboration), Nat. Electron. 4, 740 (2021).
S. Picozzi, Frontiers in Physics Condensed Matter Physics 2, 10 (2014).
N. N. Orlova, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, Physica B: Condensed Matter 647, 414358 (2022); https://doi.org/10.1016/j.physb.2022.414358
D. Di Sante, P. Barone, R. Bertacco, and S. Picozzi, Adv. Mater. 25, 509 (2013).
M. Liebmann, Ch. Rinaldi, D. Di Sante et al. (Collaboration), Adv. Mater. 28, 560 (2016).
J. Krempaský, H. Volfová, S. Muff et al. (Collaboration), Phys. Rev. B 94, 205111 (2016).
A. Lau and C. Ortix, Phys. Rev. Lett. 122, 186801 (2019).
J. Krempaský, L. Nicolaï, M. Gmitra, H. Chen, M. Fanciulli, E. B. Guedes, M. Caputo, M. Radović, V. V. Volobuev, O. Caha, G. Springholz, J. Minár, and J. H. Dil, Phys. Rev. Lett. 126, 206403 (2021).
N. N. Orlova, A.V. Timonina, N.N. Kolesnikov, and E. V. Deviatov, Chin. Phys. Lett. 40, 077302 (2023);
I. Sodemann and L. Fu, Phys. Rev. Lett. 115, 216806 (2015).
G. Kremer, T. Jaouen, B. Salzmann, L. Nicolaï, M. Rumo, C. W. Nicholson, B. Hildebrand, J. H. Dil, J. Minár, G. Springholz, J. Krempaský, and C. Monney, Phys. Rev. Research 2, 033115 (2020).
A. A. Avakyants, N. N. Orlova, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, J. Magn. Magn. Mater. 573, 170668 (2023); https://doi.org/10.1016/j.jmmm.2023.170668
N. N. Orlova, A. A. Avakyants, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, Phys. Rev. B 107, 155137 (2023); https://doi.org/10.1103/PhysRevB.107.155137
Ch. Rinaldi, S. Varotto, M. Asa, J. Sławinska, J. Fujii, G. Vinai, S. Cecchi, D. Di Sante, R. Calarco, I. Vobornik, G. Panaccione, S. Picozzi and R. Bertacco, Nano Lett. 18, 2751 (2018).
P. C. Lou, R. G. Bhardwaj, A. Katailiha, W. P. Beyermann, and S. Kumar, Phys. Rev. B 109, L081113 (2024); https://doi.org/10.1103/PhysRevB.109.L081113
J. M. D. Coey, Magnetism and Magnetic Materials, Cambridge University Press, Cambridge (2009).
P. E. Kelly, K. O’Grady, P. I. Mayo, and R. W. Chantrell, IEEE Trans. Magn. 25, 3881 (1989).
O. Henkel, Phys. Status Solidi B 7, 919 (1964).
P. Bender, F. Krämer, A. Tschöpe, and R. Birringer, J. Phys. D: Appl. Phys. 48, 145003 (2015).
J. Sánchez, C. Sánchez, and A.G. Santana, J. Magn. Magn. Mater. 294, 226 (2005).
J. E. Lewis, Phys. Status Solidi 38, 131 (1970).
I. Soldatov, P. Andrei, and R. Schaefer, IEEE Magn. Lett. 11, 2405805 (2020).
M. Saghayezhian, Zh. Wang, H. Guo, R. Jin, Y. Zhu, J. Zhang, and E.W. Plummer, Phys. Rev. Research 1, 033160 (2019).
F.W. Constant and J. M. Forwalt, Phys. Rev. 56, 373 (1939).
Y.-W. Fang and H. Chen, Commun. Mater. 1, 1 (2020).
A. Filippetti, V. Fiorentini, F. Ricci, P. Delugas, and J. Iniguez, Nat. Commun. 7, 11211 (2016).
T. H. Kim, D. Puggioni, Y. Yuan, L. Xie, H. Zhou, N. Campbell, P. J. Ryan, Y. Choi, J.-W. Kim, J. R. Patzner, S. Ryu, J. P. Podkaminer, J. Irwin, Y. Ma, C. J. Fennie, M. S. Rzchowski, X. Q. Pan, V. Gopalan, J. M. Rondinelli, and C. B. Eom, Nature 533, 68 (2016).
Z. Fei, W. Zhao, T. A. Palomaki, B. Sun, M.K. Miller, Z. Zhao, J. Yan, X. Xu, and D. H. Cobden, Nature 560, 336 (2018).
Sh. Yuan, X. Luo, H.L. Chan, Ch. Xiao, Y. Dai, M. Xie, and J. Hao, Nature Commun. 10, 1775 (2019).
P. Sharma, F.-X. Xiang, D.-F. Shao, D. Zhang, E. Y. Tsymbal, A. R. Hamilton, and J. Seide, Sci. Adv. 5(7), eaax5080 (2019).
K. Chang, F. Küster, B. J. Miller, J.-R. Ji, J.-L. Zhang, P. Sessi, S. Barraza-Lopez, and S. S. P. Parkin, Nano Lett. 20(9), 6590 (2020).
K. Yasuda, X. Wang, K. Watanabe, T. Taniguchi, and P. Jarillo-Herrero, Science 372, 6549 1458 (2021).
N. N. Orlova, N. S. Ryshkov, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, JETP Lett. 113, 389 (2021).
N. N. Orlova, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov, Phys. Rev. B 104, 045304 (2021).
C. Israel, S. Kar-Narayan, and N. D. Mathur, Appl. Phys. Lett. 93, 173501 (2008).
Zh. Shen, Sh. Dong, and X. Yao, arxiv:2310.04810 (2023).
A. O. Fumega and J. L. Lado, 2D Materials 9, 025010 (2022); https://doi.org/10.1088/2053-1583/ac4e9d
N. N. Orlova, A. A. Avakyants, A. V. Timonina, N. N. Kolesnikov, and E. V. Deviatov; arXiv:2309.08392.
W. Xun, Ch. Wu, H. Sun, W. Zhang, Y.-Zh. Wu, and P. Li, arXiv:2403.01070.
V. Gunawan and N. A. K. Umiati, International Journal of Electrical and Computer Engineering (IJECE) 8, 4823 (2018);
W. Hou, A. Azizimanesh, A. Sewaket, T. Pena, C. Watson, M. Liu, H. Askari, and S. M. Wu, Nat. Nanotechnol. 14, 668 (2019).
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Avakyants, A.A., Orlova, N.N., Timonina, A.V. et al. Surface Spin Polarization in the Magnetic Response of GeTe Rashba Ferroelectric. Jetp Lett. (2024). https://doi.org/10.1134/S0021364024600605
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DOI: https://doi.org/10.1134/S0021364024600605