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http://dx.doi.org/10.4313/JKEM.2021.34.3.149

A Brief Review on Magnetoelectric Multiferroic Oxides  

Cho, Jae-Hyeon (Department of Materials Science and Engineering & Julich-UNIST Joint Leading Institute for Advanced Energy Research (JULIA), Ulsan National Institute of Science and Technology (UNIST))
Jo, Wook (Department of Materials Science and Engineering & Julich-UNIST Joint Leading Institute for Advanced Energy Research (JULIA), Ulsan National Institute of Science and Technology (UNIST))
Publication Information
Journal of the Korean Institute of Electrical and Electronic Material Engineers / v.34, no.3, 2021 , pp. 149-166 More about this Journal
Abstract
Magnetoelectric multiferroics, where a ferromagnetic and a ferroelectric order coexist and are coupled in a single phase, have been a hot topic in condensed matter physics for a long time owing to their ability to facilitate next-generation applications. In this review, we briefly introduce basic concept of the magnetoelectric multiferroic oxides as well as their history, physical origins, and significant achievements. The key moments contributing to the progress of magnetoelectric multiferroics are snapshotted chronologically, and then a discussion on the major magnetic exchange interactions and the ferroelectric origins are presented along with their coupling behavior. Furthermore, we argue a need for modifying the present classification of magnetoelectric multiferroics before presenting the evolution of multiferroics using representative examples with their properties such as magnetic/ferroelectric transition temperature, magnetization/electric polarization, and magnetoelectric coefficient. We hope that this brief review will provide the community researchers with insights into magnetoelectric multiferroic oxides.
Keywords
Multiferroics; Magnetoelectric coupling; Ferromagnetism; Ferroelectricity;
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1 H. Kim, C. Sohn, G. T. Hwang, K. I. Park, and C. K. Jeong, J. Korean Ceram. Soc., 57, 401 (2020). [DOI: https://doi.org/10.1007/s43207-020-00038-9]   DOI
2 M. H. Park, J. M. Park, and C. H. Song, J. Korean Inst. Electr. Electron. Mater. Eng., 33, 276 (2020). [DOI: https://doi.org/10.4313/JKEM.2020.33.4.276]   DOI
3 J. Wang, J. B. Neaton, H. Zheng, V. Nagarajan, S. B. Ogale, B. Liu, D. Viehland, V. Vaithyanathan, D. G. Schlom, U. V. Waghmare, N. A. Spaldin, K. M. Rabe, M. Wuttig, and R. Ramesh, Science, 299, 1719 (2003). [DOI: https://doi.org/10.1126/science.1080615]   DOI
4 T. Kimura, T. Goto, H. Shintani, K. Ishizaka, T. Arima, and Y. Tokura, Nature, 426, 55 (2003). [DOI: https://doi.org/10.1038/nature02018]   DOI
5 N. Hur, S. Park, P. A. Sharma, J. S. Ahn, S. Guha, and S. W. Cheong, Nature, 429, 392 (2004). [DOI: https://doi.org/10.1038/nature02572]   DOI
6 J. F. Scott, Nat. Mater., 6, 256 (2007). [DOI: https://doi.org/10.1038/nmat1868]   DOI
7 F. Zhang, X. Zeng, D. Bi, K. Guo, Y. Yao, and S. Lu, Materials, 11, 2208 (2018). [DOI: https://doi.org/10.3390/ma11112208]   DOI
8 A. Kumar, S. Saini, K. L. Yadav, N. Kumar, S. Kumar, and S. Singh, J. Mater. Sci.: Mater. Electron., 31, 15079 (2020). [DOI: https://doi.org/10.1007/s10854-020-04071-6]   DOI
9 T. Lim, O. S. Jeon, Y. La, S. Y. Park, Y. J. Yoo, and K. H. Yang, J. Korean Phys. Soc., 77, 1021 (2020). [DOI: https://doi.org/10.3938/jkps.77.1021]   DOI
10 T. Pikula, J. Dzik, P. Guzdek, M. Kowalczyk, K. Siedliska, and E. Jartych, Ceram. Int., 46, 1804 (2020). [DOI: https://doi.org/10.1016/j.ceramint.2019.09.155]   DOI
11 T. K. Lin, H. W. Chang, B. A. Chen, D. H. Wei, C. R. Wang, and C. S. Tu, Surf. Coat. Technol., 393, 125728 (2020). [DOI: https://doi.org/10.1016/j.surfcoat.2020.125728]   DOI
12 T. K. Lin, H. W. Chang, Y. H. Sung, C. R. Wang, D. H. Wei, C. S. Tu, and W. C. Chang, Mater. Lett., 276, 128216 (2020). [DOI: https://doi.org/10.1016/j.matlet.2020.128216]   DOI
13 H. Bai, J. Li, Y. Hong, and Z. Zhou, J. Adv. Ceram., 9, 511 (2020). [DOI: https://doi.org/10.1007/s40145-020-0384-7]   DOI
14 G. S. Lotey and N. K. Verma, Mater. Lett., 111, 55 (2013). [DOI: https://doi.org/10.1016/j.matlet.2013.08.022]   DOI
15 B. S. Kar, M. N. Goswami, and P. C. Jana, J. Alloys Compd., 861, 157960 (2021). [DOI: https://doi.org/10.1016/j.jallcom.2020.157960]   DOI
16 B. Peng, R. C. Peng, Y. Q. Zhang, G. Dong, Z. Zhou, Y. Zhou, T. Li, Z. Liu, Z. Luo, S. Wang, Y. Xia, R. Qiu, X. Cheng, F. Xue, Z. Hu, W. Ren, Z. G. Ye, L. Q. Chen, Z. Shan, T. Min, and M. Liu, Sci. Adv., 6, eaba5847 (2020). [DOI: https://doi.org/10.1126/sciadv.aba5847]   DOI
17 H. T. Yi, T. Choi, S. G. Choi, Y. S. Oh, and S. W. Cheong, Adv. Mater., 23, 3403 (2011). [DOI: https://doi.org/10.1002/adma.201100805]   DOI
18 M. Bibes and A. Barthelemy, Nat. Mater., 7, 425 (2008). [DOI: https://doi.org/10.1038/nmat2189]   DOI
19 S. Manipatruni, D. E. Nikonov, C. C. Lin, T. A. Gosavi, H. Liu, B. Prasad, Y. L. Huang, E. Bonturim, R. Ramesh, and I. A. Young, Nature, 565, 35 (2019). [DOI: https://doi.org/10.1038/s41586-018-0770-2]   DOI
20 T. Choi, S. Lee, Y. J. Choi, V. Kiryukhin, and S. W. Cheong, Science, 324, 63 (2009). [DOI: https://doi.org/10.1126/science.1168636]   DOI
21 R. Nechache, C. Harnagea, S. Li, L. Cardenas, W. Huang, J. Chakrabartty, and F. Rosei, Nat. Photonics, 9, 61 (2014). [DOI: https://doi.org/10.1038/nphoton.2014.255]   DOI
22 S. Sahoo, P. K. Mahapatra, and R.N.P. Choudhary, Mater. Sci. Eng., B, 260, 114624 (2020). [DOI: https://doi.org/10.1016/j.mseb.2020.114624]   DOI
23 M. Arshad, W. Khan, M. Abushad, M. Nadeem, S. Husain, A. Ansari, and V. K. Chakradhary, Ceram. Int., 46, 27336 (2020). [DOI: https://doi.org/10.1016/j.ceramint.2020.07.219]   DOI
24 D. E. Jain Ruth, R.A.U. Rahman, B. Sundarakannan, and M. Ramaswamy, Appl. Phys. Lett., 114, 062902 (2019). [DOI: https://doi.org/10.1063/1.5078575]   DOI
25 M. Kenzelmann, A. B. Harris, S. Jonas, C. Broholm, J. Schefer, S. B. Kim, C. L. Zhang, S. W. Cheong, O. P. Vajk, and J. W. Lynn, Phys. Rev. Lett., 95, 087206 (2005). [DOI: https://doi.org/10.1103/physrevlett.95.087206]   DOI
26 L.T.H. Thanh, N.B. Doan, L. H. Bac, D. V. Thiet, S. Cho, P. Q. Bao, and D. D. Dung, Mater. Lett., 186, 239 (2017). [DOI: https://doi.org/10.1016/j.matlet.2016.09.105]   DOI
27 D. E. Jain Ruth, R.A.U. Rahman, M. Dhamodaran, V. Lakshmanan, S. Balasubramanian, P. Schmid-Beurmann, P. Zhou, G. Srinivasan, and M. Ramaswamy, J. Alloys Compd., 830, 154679 (2020). [DOI: https://doi.org/10.1016/j.jallcom.2020.154679]   DOI
28 K. Shalini and N.V. Giridharan, Ceram. Int., 45, 19002 (2019). [DOI: https://doi.org/10.1016/j.ceramint.2019.06.141]   DOI
29 K. Yamauchi and S. Picozzi, J. Phys.: Condens. Matter, 21, 064203 (2009). [DOI: https://doi.org/10.1088/0953-8984/21/6/064203]   DOI
30 M. Matsubara, S. Manz, M. Mochizuki, T. Kubacka, A. Iyama, N. Aliouane, T. Kimura, S. L. Johnson, D. Meier, and M. Fiebig, Science, 348, 1112 (2015). [DOI: https://doi.org/10.1126/science.1260561]   DOI
31 J. Jang, G. T. Hwang, Y. Min, J. W. Kim, C. W. Ahn, J. J. Choi, B. D. Hahn, J. H. Choi, D. S. Park, Y. Jung, and W. H. Yoon, J. Korean Ceram. Soc., 57, 645 (2020). [DOI: https://doi.org/10.1007/s43207-020-00062-9]   DOI
32 M. Sugimoto, J. Am. Ceram. Soc., 82, 269 (1999). [DOI: https://doi.org/10.1111/j.1551-2916.1999.tb20058.x]   DOI
33 G. H. Haertling, J. Am. Ceram. Soc., 82, 797 (1999). [DOI: https://doi.org/10.1111/j.1151-2916.1999.tb01840.x]   DOI
34 A. Humer, A. S. Pechstein, M. Meindlhumer, and M. Krommer, Acta Mech., 231, 2521 (2020). [DOI: https://doi.org/10.1007/s00707-020-02657-z]   DOI
35 C. Ederer and C. J. Fennie, J. Phys.: Condens. Matter., 20, 434219 (2008). [DOI: https://doi.org/10.1088/0953-8984/20/43/434219]   DOI
36 G. A. Smolenskii, A. I. Agranovskaya, S. N. Popov, and V. A. Isupov, Sov. Phys. Tech. Phys., 28, 2152 (1958).
37 S. A. Ivanov, S. G. Eriksson, R. Tellgren, and H. Rundlof, Mater. Res. Bull., 39, 2317 (2004). [DOI: https://doi.org/10.1016/j.materresbull.2004.07.025]   DOI
38 X. S. Gao, X. Y. Chen, J. Yin, J. Wu, Z. G. Liu, and M. Wang, J. Mater. Sci., 35, 5421 (2000). [DOI: https://doi.org/10.1023/A:1004815416774]   DOI
39 S. Matteppanavar, S. Rayaprol, and B. Angadi, J. Mater. Sci., 52, 10709 (2017). [DOI: https://doi.org/10.1007/s10853-017-1256-6]   DOI
40 K. Zhai, Y. Wu, S. Shen, W. Tian, H. Cao, Y. Chai, B. C. Chakoumakos, D. Shang, L. Yan, F. Wang, and Y. Sun, Nat. Commun., 8, 519 (2017). [DOI: https://doi.org/10.1038/s41467-017-00637-x]   DOI
41 D. Y. Suarez, I. M. Reaney, and W. E. Lee, MRS Online Proc. Libr., 658, 119 (2000). [DOI: https://doi.org/10.1557/proc658-gg11.9]   DOI
42 A. Levstik, V. Bobnar, C. Filipic, J. Holc, M. Kosec, R. Blinc, Z. Trontelj, and Z. Jaglicic, Appl. Phys. Lett., 91, 012905 (2007). [DOI: https://doi.org/10.1063/1.2754354]   DOI
43 R. Pirc, R. Blinc, and J. F. Scott, Phys. Rev. B, 79, 214114 (2009). [DOI: https://doi.org/10.1103/physrevb.79.214114]   DOI
44 B. Aurivillius, Mixed Bismuth Oxides with Layer Lattices, Arki for Kemi, 1, 463 (1949).
45 H. Schmid, Ferroelectrics, 162, 317 (1994). [DOI: https://doi.org/10.1080/00150199408245120]   DOI
46 J.M.D. Coey, Nat. Mater., 18, 652 (2019). [DOI: https://doi.org/10.1038/s41563-019-0365-9]   DOI
47 W. C. Rontgen, Ann. Phys., 271, 264 (1888). [DOI: https://doi.org/10.1002/andp.18882711003]   DOI
48 P. Curie, J. Phys. Theor. Appl., 3, 393 (1894). [DOI: https://doi.org/10.1051/jphystap:018940030039300]   DOI
49 L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd (Elsevier Ltd., New York, 1960) p. 224. [DOI: https://doi.org/10.1016/b978-0-08-030275-1.50013-8]
50 I. E. Dzyaloshinskii, Sov. Phys. JETP, 10, 628 (1960).
51 D. N. Astrov, Sov. Phys. JETP, 11, 708 (1960).
52 D. Khomskii, Physics, 2, 20 (2009). [DOI: https://doi.org/10.1103/physics.2.20]   DOI
53 U. Chon, H. M. Jang, M. G. Kim, and C. H. Chang, Phys. Rev. Lett., 89, 087601 (2002). [DOI: https://doi.org/10.1103/physrevlett.89.087601]   DOI
54 L. Keeney, T. Maity, M. Schmidt, A. Amann, N. Deepak, N. Petkov, S. Roy, M. E. Pemble, and R. W. Whatmore, J. Am. Ceram. Soc., 96, 2339 (2013). [DOI: https://doi.org/10.1111/jace.12467]   DOI
55 Z. Li, K. Tao, J. Ma, Z. Gao, V. Koval, C. Jiang, G. Viola, H. Zhang, A. Mahajan, J. Cao, M. Cain, I. Abrahams, C. Nan, C. Jia, and H. Yan, J. Mater. Chem. C, 6, 2733 (2018). [DOI: https://doi.org/10.1039/c8tc00161h]   DOI
56 L. Zhao, T. L. Hung, C. C. Li, Y. Y. Chen, M. K. Wu, R. K. Kremer, M. G. Banks, A. Simon, M. H. Whangbo, C. Lee, J. S. Kim, I. Kim, and K. H. Kim, Adv. Mater., 24, 2469 (2012). [DOI: https://doi.org/10.1002/adma.201200734]   DOI
57 J. F. Scott and R. Blinc, J. Phys.: Condens. Matter, 23, 113202 (2011). [DOI: https://doi.org/10.1088/0953-8984/23/11/113202]   DOI
58 J. B. Neaton, C. Ederer, U. V. Waghmare, N. A. Spaldin, and K. M. Rabe, Phys. Rev. B, 71, 014113 (2005). [DOI: https://doi.org/10.1103/physrevb.71.014113]   DOI
59 A. K. Singh, S. Patnaik, S. D. Kaushik, and V. Siruguri, Phys. Rev. B, 81, 184406 (2010). [DOI: https://doi.org/10.1103/physrevb.81.184406]   DOI
60 C. Ederer and N. A. Spaldin, Phys. Rev. B, 71, 060401 (2005). [DOI: https://doi.org/10.1103/physrevb.71.060401]   DOI
61 G. Giovannetti, A. Stroppa, S. Picozzi, D. Baldomir, V. Pardo, S. Blanco-Canosa, F. Rivadulla, S. Jodlauk, D. Niermann, J. Rohrkamp, T. Lorenz, S. Streltsov, D. I. Khomskii, and J. Hemberger, Phys. Rev. B, 83, 060402 (2011). [DOI: https://doi.org/10.1103/physrevb.83.060402]   DOI
62 S. W. Cheong, D. Talbayev, V. Kiryukhin, and A. Saxena, npj Quantum Mater., 3, 19 (2018). [DOI: https://doi.org/10.1038/s41535-018-0092-5]   DOI
63 H. Xiang, C. Lee, H. J. Koo, X. Gong, and M. H. Whangbo, Dalton Trans., 42, 823 (2013). [DOI: https://doi.org/10.1039/c2dt31662e]   DOI
64 C. Zener and R. R. Heikes, Rev. Mod. Phys., 25, 191 (1953). [DOI: https://doi.org/10.1103/revmodphys.25.191.2]   DOI
65 V. G. Ivanov, M. V. Abrashev, M. N. Iliev, M. M. Gospodinov, J. Meen, and M. I. Aroyo, Phys. Rev. B, 82, 024104 (2010). [DOI: https://doi.org/10.1103/physrevb.82.024104]   DOI
66 D. D. Dung, N. Q. Huy, N. H. Tuan, N. D. Quan, L. T. Loan, N. H. Linh, N. H. Thoan, N. N. Trung, and L. H. Bac, Mater. Lett., 283, 128897 (2021). [DOI: https://doi.org/10.1016/j.matlet.2020.128897]   DOI
67 J. White, K. Sinha, and X. Xu, J. Appl. Phys., 125, 244101 (2019). [DOI: https://doi.org/10.1063/1.5098488]   DOI
68 J. Liu, T. L. Sun, X. Q. Liu, H. Tian, T. T. Gao, and X. M. Chen, Adv. Funct. Mater., 28, 1706062 (2018). [DOI: https://doi.org/10.1002/adfm.201706062]   DOI
69 N. Kumar, A. Gaur, and G. D. Varma, J. Alloys Compd., 509, 1060 (2011). [DOI: https://doi.org/10.1016/j.jallcom.2010.09.181]   DOI
70 S. W. Cheong and M. Mostovoy, Nat. Mater., 6, 13 (2007). [DOI: https://doi.org/10.1038/nmat1804]   DOI
71 M. Fiebig, T. Lottermoser, D. Meier, and M. Trassin, Nat. Rev. Mater., 1, 16046 (2016). [DOI: https://doi.org/10.1038/natrevmats.2016.46]   DOI
72 D. Y. Cho, J. Y. Kim, B. G. Park, K. J. Rho, J. H. Park, H. J. Noh, B. J. Kim, S. J. Oh, H. M. Park, J. S. Ahn, H. Ishibashi, S. W. Cheong, J. H. Lee, P. Murugavel, T. W. Noh, A. Tanaka, and T. Jo, Phys. Rev. Lett., 98, 217601 (2007). [DOI: https://doi.org/10.1103/physrevlett.98.217601]   DOI
73 D. G. Tomuta, S. Ramakrishnan, G. J. Nieuwenhuys, and J. A. Mydosh, J. Phys.: Condens. Matter., 13, 4543 (2001). [DOI: https://doi.org/10.1088/0953-8984/13/20/315]   DOI
74 H. Murakawa, Y. Onose, S. Miyahara, N. Furukawa, and Y. Tokura, Phys. Rev. Lett., 105, 137202 (2010). [DOI: https://doi.org/10.1103/physrevlett.105.137202]   DOI
75 U. G. Jong, C. J. Yu, Y. S. Park, and C. S. Ri, Phys. Lett. A, 380, 3302 (2016). [DOI: https://doi.org/10.1016/j.physleta.2016.08.006]   DOI
76 J. K. Dey, A. Chatterjee, S. Majumdar, A. C. Dippel, O. Gutowski, M. v. Zimmermann, and S. Giri, Phys. Rev. B, 99, 144412 (2019). [DOI: https://doi.org/10.1103/physrevb.99.144412]   DOI
77 T. Kimura, Y. Sekio, H. Nakamura, T. Siegrist, and A. P. Ramirez, Nat. Mater., 7, 291 (2008). [DOI: https://doi.org/10.1038/nmat2125]   DOI
78 K. Yamauchi and P. Barone, J. Phys.: Condens. Matter., 26, 103201 (2014). [DOI: https://doi.org/10.1088/0953-8984/26/10/103201]   DOI
79 T. Katsufuji, M. Masaki, A. Machida, M. Moritomo, K. Kato, E. Nishibori, M. Takata, M. Sakata, K. Ohoyama, K. Kitazawa, and H. Takagi, Phys. Rev. B, 66, 134434 (2002). [DOI: https://doi.org/10.1103/physrevb.66.134434]   DOI
80 J. van den Brink and D. I. Khomskii, J. Phys.: Condens. Matter., 20, 434217 (2008). [DOI: https://doi.org/10.1088/0953-8984/20/43/434217]   DOI
81 C. Ederer and N. A. Spaldin, Nat. Mater., 3, 849 (2004). [DOI: https://doi.org/10.1038/nmat1265]   DOI
82 D. I. Khomskii, J. Magn. Magn. Mater., 306, 1 (2006). [DOI: https://doi.org/10.1016/j.jmmm.2006.01.238]   DOI
83 M. Uehara, S. Mori, C. H. Chen, and S. W. Cheong, Nature, 399, 560 (1999). [DOI: https://doi.org/10.1038/21142]   DOI
84 T. Honda, J. S. White, A. B. Harris, L. C. Chapon, A. Fennell, B. Roessli, O. Zaharko, Y. Murakami, M. Kenzelmann, and T. Kimura, Nat. Commun., 8, 15457 (2017). [DOI: https://doi.org/10.1038/ncomms15457]   DOI
85 S. Ghara, E. Suard, F. Fauth, T. T. Tran, P. S. Halasyamani, A. Iyo, J. Rodriguez-Carvajal, and A. Sundaresan, Phys. Rev. B, 95, 224416 (2017). [DOI: https://doi.org/10.1103/physrevb.95.224416]   DOI
86 P. G. Radaelli, L. C. Chapon, A. Daoud-Aladine, C. Vecchini, P. J. Brown, T. Chatterji, S. Park, and S. W. Cheong, Phys. Rev. Lett., 101, 067205 (2008). [DOI: https://doi.org/10.1103/physrevlett.101.067205]   DOI
87 X. Shen, L. Zhou, Y. Chai, Y. Wu, Z. Liu, Y. Yin, H. Cao, C. D. Cruz, Y. Sun, C. Jin, A. Munoz, J. A. Alonso, and Y. Long, NPG Asia Mater., 11, 50 (2019). [DOI: https://doi.org/10.1038/s41427-019-0151-9]   DOI
88 S. Ghara, N. V. Ter-Oganessian, and A. Sundaresan, Phys. Rev. B, 95, 094404 (2017). [DOI: https://doi.org/10.1103/physrevb.95.094404]   DOI
89 Y. Cao, G. Deng, P. Beran, Z. Feng, B. Kang, J. Zhang, N. Guiblin, B. Dkhil, W. Ren, and S. Cao, Sci. Rep., 7, 14079 (2017). [DOI: https://doi.org/10.1038/s41598-017-14169-3]   DOI
90 T. Kimura, J. C. Lashley, and A. P. Ramirez, Phys. Rev. B, 73, 220401 (2006). [DOI: https://doi.org/10.1103/physrevb.73.220401]   DOI
91 N. A. Hill, J. Phys. Chem. B, 104, 6694 (2000). [DOI: https://doi.org/10.1021/jp000114x]   DOI
92 M. Morin, A. Scaramucci, M. Bartkowiak, E. Pomjakushina, G. Deng, D. Sheptyakov, L. Keller, J. Rodriguez-Carvajal, N. A. Spaldin, M. Kenzelmann, K. Conder, and M. Medarde, Phys. Rev. B, 91, 064408 (2015). [DOI: https://doi.org/10.1103/physrevb.91.064408]   DOI
93 A. Scaramucci, H. Shinaoka, M. V. Mostovoy, M. Muller, C. Mudry, M. Troyer, and N. A. Spaldin, Phys. Rev. X, 8, 011005 (2018). [DOI: https://doi.org/10.1103/physrevx.8.011005]   DOI
94 R. Liu, L. Pan, S. Peng, L. Qin, J. Bi, J. Wu, H. Wu, and Z. G. Ye, J. Mater. Chem. C, 7, 1999 (2019). [DOI: https://doi.org/10.1039/c8tc05615c]   DOI
95 V. J. Folen, G. T. Rado, and E. W. Stalder, Phys. Rev. Lett., 6, 607 (1961). [DOI: https://doi.org/10.1103/physrevlett.6.607]   DOI
96 J. Van Suchtelen, Phillips Research Reports, 27, 28 (1972).
97 J. F. Scott, NPG Asia Mater., 5, e72 (2013). [DOI: https://doi.org/10.1038/am.2013.58]   DOI
98 E. Coronado, B. S. Tsukerblat, and R. Georges, Exchange Interactions I: Mechanisms (Springer, Dordrecht, 1996) p. 65. [DOI: https://doi.org/10.1007/978-94-017-2319-0_3]
99 J. Kanamori, J. Phys. Chem. Solids, 10, 87 (1959). [DOI: https://doi.org/10.1016/0022-3697(59)90061-7]   DOI
100 Y. Tokura and S. Seki, Adv. Mater., 22, 1554 (2010). [DOI: https://doi.org/10.1002/adma.200901961]   DOI
101 Y. Yamasaki, S. Miyasaka, Y. Kaneko, J. P. He, T. Arima, and Y. Tokura, Phys. Rev. Lett., 96, 207204 (2006). [DOI: https://doi.org/10.1103/physrevlett.96.207204]   DOI
102 A. Sundaresan and N. V. Ter-Oganessian, J. Appl. Phys., 129, 060901 (2021). [DOI: https://doi.org/10.1063/5.0035825]   DOI
103 Y. Tokunaga, Y. Kaneko, D. Okuyama, S. Ishiwata, T. Arima, S. Wakimoto, K. Kakurai, Y. Taguchi, and Y. Tokura, Phys. Rev. Lett., 105, 257201 (2010). [DOI: https://doi.org/10.1103/physrevlett.105.257201]   DOI
104 T. Moriya, Phys. Rev. Lett., 4, 228 (1960). [DOI: https://doi.org/10.1103/physrevlett.4.228]   DOI
105 M. A. Gilleo, Phys. Rev., 109, 777 (1958). [DOI: https://doi.org/10.1103/physrev.109.777]   DOI
106 J. B. Goodenough, J. Solid State Chem., 127, 126 (1996). [DOI: https://doi.org/10.1006/jssc.1996.0366]   DOI
107 I. Dzyaloshinsky, J. Phys. Chem. Solids, 4, 241 (1958). [DOI: https://doi.org/10.1016/0022-3697(58)90076-3]   DOI
108 M. P. Singh, K. D. Truong, S. Jandl, and P. Fournier, J. Appl. Phys., 107, 09D917 (2010). [DOI: https://doi.org/10.1063/1.3362922]   DOI
109 P. G. Radaelli, D. E. Cox, M. Marezio, and S. W. Cheong, Phys. Rev. B, 55, 3015 (1997). [DOI: https://doi.org/10.1103/physrevb.55.3015]   DOI
110 J. H. Lee, P. Murugavel, H. Ryu, D. Lee, J. Y. Jo, J. W. Kim, H. J. Kim, K. H. Kim, Y. Jo, M. H. Jung, Y. H. Oh, Y. W. Kim, J. G. Yoon, J. S. Chung, and T. W. Noh, Adv. Mater., 18, 3125 (2006). [DOI: https://doi.org/10.1002/adma.200601621]   DOI
111 J. H. Lee, K. T. Delaney, E. Bousquet, N. A. Spaldin, and K. M. Rabe, Phys. Rev. B, 88, 174426 (2013). [DOI: https://doi.org/10.1103/physrevb.88.174426]   DOI
112 B. B. Van Aken, T.T.M. Palstra, A. Filippetti, and N. A. Spaldin, Nat. Mater., 3, 164 (2004). [DOI: https://doi.org/10.1038/nmat1080]   DOI
113 Y. S. Oh, X. Luo, F. T. Huang, Y. Wang, and S. W. Cheong, Nat. Mater., 14, 407 (2015). [DOI: https://doi.org/10.1038/nmat4168]   DOI
114 S. Hirose, K. Haruki, A. Ando, and T. Kimura, Appl. Phys. Lett., 104, 022907 (2014). [DOI: https://doi.org/10.1063/1.4862432]   DOI
115 X. Li and G. L. Tan, J. Alloys Compd., 858, 157722 (2021). [DOI: https://doi.org/10.1016/j.jallcom.2020.157722]   DOI
116 S. P. Shen, Y. S. Chai, J. Z. Cong, P. J. Sun, J. Lu, L. Q. Yan, S. G. Wang, and Y. Sun, Phys. Rev. B, 90, 180404 (2014). [DOI: https://doi.org/10.1103/physrevb.90.180404]   DOI
117 G. L. Tan and M. Wang, J. Electroceram., 26, 170 (2011). [DOI: https://doi.org/10.1007/s10832-011-9641-z]   DOI
118 G. L. Tan and W. Li, J. Am. Ceram. Soc., 98, 1812 (2015). [DOI: https://doi.org/10.1111/jace.13530]   DOI
119 D. Feng, Z. Zhu, X. Chen, and J. Qi, Appl. Phys. Lett., 118, 062903 (2021). [DOI: https://doi.org/10.1063/5.0036302]   DOI
120 C. Liu, B. Wang, G. Jia, P. Liu, H. Yin, S. Guan, and Z. Cheng, Appl. Phys. Lett., 118, 072902 (2021). [DOI: https://doi.org/10.1063/5.0039842]   DOI
121 Y. Tokura, S. Seki, and N. Nagaosa, Rep. Prog. Phys., 77, 076501 (2014). [DOI: https://doi.org/10.1088/0034-4885/77/7/076501]   DOI
122 H. Schmid, Bull. Mater. Sci., 17, 1411 (1994). [DOI: https://doi.org/10.1007/bf02747238]   DOI
123 M. J. Cardwell, Philos. Mag. A, 20, 1087 (1969). [DOI: https://doi.org/10.1080/14786436908228077]   DOI
124 M. M. Vopson, Y. K. Fetisov, G. Caruntu, and G. Srinivasan, Materials, 10, 963 (2017). [DOI: https://doi.org/10.3390/ma10080963]   DOI
125 J. Ryu, S. Priya, K. Uchino, and H. E. Kim, J. Electroceram., 8, 107 (2002). [DOI: https://doi.org/10.1023/a:1020599728432]   DOI
126 J. H. Van Santen and G. H. Jonker, Physica, 16, 599 (1950). [DOI: https://doi.org/10.1016/0031-8914(50)90104-2]   DOI
127 Y. Kitagawa, Y. Hiraoka, T. Honda, T. Ishikura, H. Nakamura, and T. Kimura, Nat. Mater., 9, 797 (2010). [DOI: https://doi.org/10.1038/nmat2826]   DOI
128 G. H. Jonker and J. H. Van Santen, Physica, 16, 337 (1950). [DOI: https://doi.org/10.1016/0031-8914(50)90033-4]   DOI
129 C. Zener, Phys. Rev., 82, 403 (1951). [DOI: https://doi.org/10.1103/physrev.82.403 ]   DOI
130 D. S. Rodbell, I. S. Jacobs, J. Owen, and E. A. Harris, Phys. Rev. Lett., 11, 10 (1963). [DOI: https://doi.org/10.1103/physrevlett.11.10]   DOI
131 L. Weymann, L. Bergen, T. Kain, A. Pimenov, A. Shuvaev, E. Constable, D. Szaller, B. V. Mill, A. M. Kuzmenko, V. Y. Ivanov, N. V. Kostyuchenko, A. I. Popov, A. K. Zvezdin, A. Pimenov, A. A. Mukhin, and M. Mostovoy, npj Quantum Mater., 5, 61 (2020). [DOI: https://doi.org/10.1038/s41535-020-00263-9]   DOI
132 S. Mori, C. H. Chen, and S. W. Cheong, Nature, 392, 473 (1988). [DOI: https://doi.org/10.1038/33105]   DOI
133 P. G. Radaelli, D. E. Cox, M. Marezio, and S. W. Cheong, Phys. Rev. B, 55, 3015 (1997). [DOI: https://doi.org/10.1103/physrevb.55.3015]   DOI
134 D. S. Rodbell and J. Owen, J. Appl. Phys., 35, 1002 (1964). [DOI: https://doi.org/10.1063/1.1713351]   DOI
135 H. Katsura, N. Nagaosa, and A. V. Balatsky, Phys. Rev. Lett., 95, 057205 (2005). [DOI: https://doi.org/10.1103/physrevlett.95.057205]   DOI
136 N. Ikeda, H. Ohsumi, K. Ohwada, K. Ishii, T. Inami, K. Kakurai, Y. Murakami, K. Yoshii, S. Mori, Y. Horibe, and H. Kito, Nature, 436, 1136 (2005). [DOI: https://doi.org/10.1038/nature04039]   DOI
137 C. H. Li, F. Wang, Y. Liu, X. Q. Zhang, Z. H. Cheng, and Y. Sun, Phys. Rev. B, 79, 172412 (2009). [DOI: https://doi.org/10.1103/physrevb.79.172412]   DOI
138 D. I. Khomskii, Nat. Commun., 3, 904 (2012). [DOI: https://doi.org/10.1038/ncomms1904]   DOI
139 Q. F. Sun and X. C. Xie, Phys. Rev. B, 72, 245305 (2005). [DOI: https://doi.org/10.1103/physrevb.72.245305]   DOI
140 M. J. Pitcher, P. Mandal, M. S. Dyer, J. Alaria, P. Borisov, H. Niu, J. B. Claridge, and M. J. Rosseinsky, Science, 347, 420 (2015). [DOI: https://doi.org/10.1126/science.1262118]   DOI
141 P. N. Ravi Shankar, S. Mishra, and S. Athinarayanan, APL Mater., 8, 040906 (2020). [DOI: https://doi.org/10.1063/5.0003305]   DOI
142 J. A. Mundy, C. M. Brooks, M. E. Holtz, J. A. Moyer, H. Das, A. F. Rebola, J. T. Heron, J. D. Clarkson, S. M. Disseler, Z. Liu, A. Farhan, R. Held, R. Hovden, E. Padgett, Q. Mao, H. Paik, R. Misra, L. F. Kourkoutis, E. Arenholz, A. Scholl, J. A. Borchers, W. D. Ratcliff, R. Ramesh, C. J. Fennie, P. Schiffer, D. A. Muller, and D. G. Schlom, Nature, 537, 523 (2016). [DOI: https://doi.org/10.1038/nature19343]   DOI
143 S. Fan, H. Das, A. Rebola, K. A. Smith, J. Mundy, C. Brooks, M. E. Holtz, D. A. Muller, C. J. Fennie, R. Ramesh, D. G. Schlom, S. McGill, and J. L. Musfeldt, Nat. Commun., 11, 5582 (2020). [DOI: https://doi.org/10.1038/s41467-020-19285-9]   DOI
144 N. A. Spaldin, J. Solid State Chem., 195, 2 (2012). [DOI: https://doi.org/10.1016/j.jssc.2012.05.010]   DOI
145 L. C. Bartel and B. Morosin, Phys. Rev. B, 3, 1039 (1971). [DOI: https://doi.org/10.1103/physrevb.3.1039]   DOI
146 K. Motida, J. Phys. Soc. Jpn., 44, 1498 (1978). [DOI: https://doi.org/10.1143/jpsj.44.1498]   DOI
147 J. Valasek, Phys. Rev., 17, 475 (1921). [DOI: https://doi.org/10.1103/physrev.17.475]   DOI
148 J. Wu, Z. Fan, D. Xiao, J. Zhu, and J. Wang, Prog. Mater. Sci., 84, 335 (2016). [DOI: https://doi.org/10.1016/j.pmatsci.2016.09.001]   DOI
149 M. Acosta, N. Novak, V. Rojas, S. Patel, R. Vaish, J. Koruza, G. A. Rossetti Jr., and J. Rodel, Appl. Phys. Rev., 4, 041305 (2017). [DOI: https://doi.org/10.1063/1.4990046]   DOI
150 G. Li, Y. Liu, W. Wang, Y. Xiao, M. Tang, and Z. Li, Phys. Status Solidi B, 258, 2000520 (2020). [DOI: https://doi.org/10.1002/pssb.202000520]   DOI
151 R. E. Cohen, J. Phys. Chem. Solids, 61, 139 (2000). [DOI: https://doi.org/10.1016/s0022-3697(99)00272-3]   DOI
152 J. Ryu, A. V. Carazo, K. Uchino, and H. E. Kim, Jpn. J. Appl. Phys., 40, 4948 (2001). [DOI: https://doi.org/10.1143/jjap.40.4948]   DOI
153 C.A.F. Vaz, J. Hoffman, C. H. Ahn, and R. Ramesh, Adv. Mater., 22, 2900 (2010). [DOI: https://doi.org/10.1002/adma.200904326]   DOI
154 J. Shi, P. Zhang, D. Xiao, and Q. Niu, Phys. Rev. Lett., 96, 076604 (2006). [DOI: https://doi.org/10.1103/physrevlett. 96.076604]   DOI
155 H. Palneedi, V. Annapureddy, S. Priya, and J. Ryu, Actuators, 5, 1 (2016). [DOI: https://doi.org/10.3390/act5010009]   DOI
156 C. W. Nan, M. I. Bichurin, S. Dong, D. Viehland, and G. Srinivasan, J. Appl. Phys., 103, 031101 (2008). [DOI: https://doi.org/10.1063/1.2836410]   DOI
157 A. Nagesetti, A. Rodzinski, E. Stimphil, T. Stewart, C. Khanal, P. Wang, R. Guduru, P. Liang, I. Agoulnik, J. Horstmyer, and S. Khizroev, Sci. Rep., 7, 1610 (2017). [DOI: https://doi.org/10.1038/s41598-017-01647-x]   DOI
158 E. Stimphil, A. Nagesetti, R. Guduru, T. Stewart, A. Rodzinski, P. Liang, and S. Khizroev, Appl. Phys. Rev., 4, 021101 (2017). [DOI: https://doi.org/10.1063/1.4978642]   DOI
159 G. T. Hwang, M. Byun, C. K. Jeong, and K. J. Lee, Adv. Healthcare Mater., 4, 646 (2015). [DOI: https://doi.org/10.1002/adhm.201400642]   DOI
160 R. Guduru, P. Liang, C. Runowicz, M. Nair, V. Atluri, and S. Khizroev, Sci. Rep., 3, 2953 (2013). [DOI: https://doi.org/10.1038/srep02953]   DOI
161 M. Nair, R. Guduru, P. Liang, J. Hong, V. Sagar, and S. Khizroev, Nat. Commun., 4, 1707 (2013). [DOI: https://doi.org/10.1038/ncomms2717]   DOI
162 M. Mostovoy, Phys. Rev. Lett., 96, 067601 (2006). [DOI: https://doi.org/10.1103/physrevlett.96.067601]   DOI
163 I. Kim, Y. S. Oh, Y. Liu, S. H. Chun, J. S. Lee, K. T. Ko, J. H. Park, J. H. Chung, and K. H. Kim, Appl. Phys. Lett., 94, 042505 (2009). [DOI: https://doi.org/10.1063/1.3076102]   DOI
164 Y. H. Chu, L. W. Martin, M. B. Holcomb, M. Gajek, S. J. Han, Q. He, N. Balke, C. H. Yang, D. Lee, W. Hu, Q. Zhan, P. L. Yang, A. Fraile-Rodriguez, A. Scholl, S. X. Wang, and R. Ramesh, Nat. Mater., 7, 478 (2008). [DOI: https://doi.org/10.1038/nmat2184]   DOI
165 W. Hu, Y. Chen, H. Yuan, G. Li, Y. Qiao, Y. Qin, and S. Feng, J. Phy s. Chem. C, 115, 8869 (2011). [DOI: https://doi.org/10.1021/jp1103142]   DOI
166 D. K. Pradhan, S. Kumari, and P. D. Rack, Nanomaterials, 10, 2072 (2020). [DOI: https://doi.org/10.3390/nano10102072]   DOI
167 M. M. Vopson, Crit. Rev. Solid State Mater. Sci., 40, 223 (2015). [DOI: https://doi.org/10.1080/10408436.2014.992584]   DOI
168 J. Sannigrahi, S. Bhowal, S. Giri, S. Majumdar, and I. Dasgupta, Phys. Rev. B, 91, 220407 (2015). [DOI: https://doi.org/10.1103/physrevb.91.220407]   DOI
169 C. Kittel, Phys. Rev., 120, 335 (1960). [DOI: https://doi.org/10.1103/physrev.120.335]   DOI
170 T. Aoyama, K. Yamauchi, A. Iyama, S. Picozzi, K. Shimizu, and T. Kimura, Nat. Commun., 5, 4927 (2014). [DOI: https://doi.org/10.1038/ncomms5927]   DOI
171 P. Jarillo-Herrero, S. Sapmaz, C. Dekker, L. P. Kouwenhoven, and H.S.J. van der Zant, Nature, 429, 392 (2004). [DOI: https://doi.org/10.1038/nature02568]   DOI
172 P. Debye, Z. Phys., 36, 300 (1926). [DOI: https://doi.org/10.1007/bf01557844]   DOI
173 J. T. Heron, J. L. Bosse, Q. He, Y. Gao, M. Trassin, L. Ye, J. D. Clarkson, C. Wang, J. Liu, S. Salahuddin, D. C. Ralph, D. G. Schlom, J. Iniguez, B. D. Huey, and R. Ramesh, Nature, 516, 370 (2014). [DOI: https://doi.org/10.1038/nature14004]   DOI
174 P. W. Anderson, Solid State Phys., 14, 99 (1963). [DOI: https://doi.org/10.1016/s0081-1947(08)60260-x]   DOI
175 J. M. Hu, L. Q. Chen, and C. W. Nan, Adv. Mater., 28, 15 (2016). [DOI: https://doi.org/10.1002/adma.201502824]   DOI
176 J. M. Rondinelli, A. S. Eidelson, and N. A. Spaldin, Phys. Rev. B, 79, 205119 (2009). [DOI: https://doi.org/10.1103/physrevb.79.205119]   DOI
177 J. H. Cho, N. J. Lee, H. J. Lee, J. H. Lee, G. J. Lee, M. Suzuki, M. Hinterstein, Y. S. Oh, J. W. Choi, G. T. Hwang, J. H. Lee, S. H. Kim, and W. Jo, Ph. D. Thesis, Direct Coupling Between Ferromagnetic Spin Interaction and Ferroelectric Switching in Perovskite Oxides (In press).