复合多铁链的磁电耦合行为与外场调控

黄颖妆; 齐岩; 杜安; 刘佳宏; 艾传韡; 戴海燕; 张小丽; 黄雨嫣

doi:10.7498/aps.67.20181561

摘要

对含有界面磁电耦合的有限长铁电-铁磁多铁链体系进行了研究，基于矢量离散化思想，构建了描述其磁电性质的微观海森伯模型.利用传递矩阵方法获得了磁化强度、电极化强度、磁电化率等关键热力学量的解析表达式，重点探讨了界面磁电耦合、外场以及单离子各向异性对体系磁电耦合行为的影响和调控.研究结果表明，界面磁电耦合对体系的磁化强度和电极化强度均起促进作用.电场驱动下的电致磁电化率具有更强的磁电关联效应，预示着外电场能够有效地调控体系的磁性行为.而在磁致磁电化率中观察到的低温峰主要源于外磁场的诱导.此外，在高电场作用下体系比热容还呈现出有趣的三峰结构，这种三峰结构是自旋态的热激发以及电偶极矩的电场和温度共同激发导致的.

关键词:

Abstract

Multiferroics, can simultaneously exhibit multiple ferroic orders, including magnetic order, electric order and elastic order. Among these orders there exist intimately coupling effects. Multiferroics is significant for technological applications and fundamental research. The interplay between ferroelectricity and magnetism allows a magnetic control of ferroelectric properties and an electric control of magnetic properties, which can yield new device concepts. Recent experimental research shows that the Fe/BaTiO₃ compound exhibits a prominent magnetoelectric effect, which originates from a change in bonding at the ferroelectric-ferromagnet interface that changes the interface magnetization when the electric polarization reverses, and thus offering a new route to controlling the magnetic properties of multilayer compound heterostructures by the electric field. Motivated by recent discoveries, in this paper we investigate theoretically the thermodynamics of a finite ferroelectric-ferromagnetic chain. A microscopic Heisenberg spin model is constructed to describe magnetoelectric properties of this composite chain, in which electric and magnetic subsystem are coupled through interfacial coupling. However, this vector model is not integrable in general. Therefore, one has to resort to numerical calculations for the thermodynamic properties of such a system. A uniform discrete spin vector is adopted here to approximate the original continuous one, and then the transfer-matrix method is employed to derive the analytical expression. To verify its rationality and effectiveness, the zero-field specific heat of a classical spin chain is solved based on this simplified model, and compared with the exact solution. It demonstrates that the main characteristics obtained by previous research are well reproduced here, and the whole variant trend is also identical. And then the quantities concerned in this paper are calculated, including the magnetization, polarization, magnetoelectric susceptibility, and specific heat. The influence of interfacial coupling, external field, and single-ion anisotropy on the magnetoelectric effect of the composite chain are examined in detail. The results reveal that the interfacial coupling enhances the magnetization and polarization. And in the magnetic field driven magnetoelectric susceptibility, the large magnetoelectric correlation effects are observed, indicating that the magnetic behaviors can be effectively controlled by an external electric field. Meanwhile, it is also found that the external field and single-ion anisotropy both suppress the magnetoelectric susceptibility. In addition, interestingly, the specific heat of system presents a three-peak structure under high electric field, which stems from the thermal excitation of spin states as well as dipole moment caused jointly by electric field and temperature.

Keywords:

作者及机构信息

1. 大连民族大学物理与材料工程学院, 大连 116600;

2. 东北大学物理系, 沈阳 110819

基金项目: 国家自然科学基金（批准号：11804044，11547236）、辽宁省教育厅一般项目（批准号：L2015130）、大连民族大学大学生创新创业训练计划（批准号：201712026069）和中央高校基本科研业务费（批准号：DCPY2016014）资助的课题.

Authors and contacts

1. School of Physics and Materials Engineering, Dalian Minzu University, Dalian 116600, China;

2. College of Physics, Northeastern University, Shenyang 110819, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11804044, 11547236), the General Project of the Education Department of Liaoning Province, China (Grant No. L2015130), the Training Programs of Innovation and Entrepreneurship for Undergraduates of Dalian Minzu University (Grant No. 201712026069), and the Fundamental Research Funds for the Central Universities, China (Grant No. DCPY2016014).

参考文献

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施引文献

[1]	Eerenstein W, Mathur N D, Scott J F 2006 Nature 442 759
[2]	Fiebig M, Lottermoser T, Meier D, Trassin M 2016 Nat. Rev. Mater. 1 16046
[3]	Wei L, Hu Z, Du G, Yuan Y, Wang J, Tu H, You B, Zhou S, Qu J, Liu H, Zheng R, Hu Y, Du J 2018 Adv. Mater. 30 1801885
[4]	Nozaki T, Sahashi M 2018 Jpn. J. Appl. Phys. 57 0902A2
[5]	Brivio S, Petti D, Bertacco R, Cezar J C 2011 Appl. Phys. Lett. 98 092505
[6]	Duan C G, Jaswal S S, Tsymbal E Y 2006 Phys. Rev. Lett. 97 047201
[7]	Sahoo S, Polisetty S, Duan C G, Jaswal S S, Tsymbal E Y, Binek C 2007 Phys. Rev. B 76 092108
[8]	Horley P P, Sukhov A, Jia C, Martinez E, Berakdar J 2012 Phys. Rev. B 85 054401
[9]	Chotorlishvili L, Khomeriki R, Sukhov A, Ruffo S, Berakdar J 2013 Phys. Rev. Lett. 111 117202
[10]	Rondinelli J M, Stengel M, Spaldin N A 2008 Nat. Nanotechnol. 3 46
[11]	Cai T, Ju S, Lee J, Sai N, Demkov A A, Niu Q, Li Z, Shi J, Wang E 2009 Phys. Rev. B 80 140415
[12]	Sirker J 2010 Phys. Rev. B 81 014419
[13]	Ding L J, Yao K L, Fu H H 2011 J. Mater. Chem. 21 449
[14]	Paglan P A, Nguenang J P, Ruffo S 2018 Europhys. Lett. 122 68001
[15]	Sukhov A, Jia C, Horley P P, Berakdar J 2010 J. Phys.: Condens. Matter 22 352201
[16]	Odkhuu D, Kioussis N 2018 Phys. Rev. B 97 094404
[17]	Wang Z, Grimson M J 2015 J. Appl. Phys. 118 124109
[18]	Gao R, Xu Z, Bai L, Zhang Q, Wang Z, Cai W, Chen G, Deng X, Cao X, Luo X, Fu C 2018 Adv. Electron. Mater. 4 1800030
[19]	Liu X T, Chen W J, Jiang G L, Wang B, Zheng Y 2016 Phys. Chem. Chem. Phys. 18 2850
[20]	Tokunaga Y, Taguchi Y, Arima T, Tokura Y 2012 Nat. Phys. 8 838
[21]	Gao X S, Liu J M, Chen X Y, Liu Z G 2000 J. Appl. Phys. 88 4250
[22]	Fisher M E 1964 Am. J. Phys. 32 343
[23]	Juhász Junger I, Ihle D 2005 Phys. Rev. B 72 064454
[24]	Härtel M, Richter J 2011 Phys. Rev. E 83 214412
[25]	Gong S J, Jiang Q 2004 Phys. Lett. A 333 124
[26]	Zhai L J, Wang H Y 2015 J. Magn. Magn. Mater. 377 121
[27]	Thakur P, Durganandini P 2018 Phys. Rev. B 97 064413
[28]	Tokura Y, Seki S, Nagaosa N 2014 Rep. Prog. Phys. 77 076501
[29]	Liu M W, Chen Y, Song C C, Wu Y, Ding H L 2011 Solid State Commun. 151 503
[30]	Song C C, Chen Y, Liu M W 2010 Physica B 405 439
[31]	Juhász Junger I, Ihle D, Bogacz L, Janke W 2008 Phys. Rev. B 77 174411
[32]	Venkataiah G, Shirahata Y, Itoh M, Taniyama T 2011 Appl. Phys. Lett. 99 102506
[33]	Blöte H W J 1975 Physica B+C 79 427

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