Tuning magnetic anisotropy by interfacial engineering in La2/3Sr1/3Co1-xMnxO2.5+δ/La2/3Sr1/3MnO3/La2/3Sr1/3Co1-xMnxO2.5+δ trilayers

doi:10.1088/1674-1056/aba2e2

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 97402-097402.doi: 10.1088/1674-1056/aba2e2

Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers

1 Beijing National Laboratory for Condensed Matter Physics & Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China

收稿日期:2020-06-04 修回日期:2020-06-30 接受日期:2020-07-06 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Ji-Rong Sun E-mail:jrsun@iphy.ac.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant Nos. 2016YFA0300701, 2017YFA0206300, 2017YFA0303601, and 2018YFA0305704), the National Natural Science Foundation of China (Grant Nos. 11520101002, 51590880, 11674378, 11934016, and 51972335), and the Key Program of the Chinese Academy of Sciences.

Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers

Hai-Lin Huang(黄海林)^1,2, Liang Zhu(朱亮)^1,2, Hui Zhang(张慧)^1,2, Jin-E Zhang(张金娥)^1,2, Fu-Rong Han(韩福荣)^1,2, Jing-Hua Song(宋京华)^1,2, Xiaobing Chen(陈晓冰)^1,2, Yuan-Sha Chen(陈沅沙)^1,2, Jian-Wang Cai(蔡建旺)^1,2, Xue-Dong Bai(白雪冬)^1,2, Feng-Xia Hu(胡凤霞)^1,2, Bao-Gen Shen(沈保根)^1,2,3, Ji-Rong Sun(孙继荣)^1,2,3

1 Beijing National Laboratory for Condensed Matter Physics & Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3 Songshan Lake Materials Laboratory, Dongguan 523808, China

Received:2020-06-04 Revised:2020-06-30 Accepted:2020-07-06 Online:2020-09-05 Published:2020-09-05
Contact: Ji-Rong Sun E-mail:jrsun@iphy.ac.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant Nos. 2016YFA0300701, 2017YFA0206300, 2017YFA0303601, and 2018YFA0305704), the National Natural Science Foundation of China (Grant Nos. 11520101002, 51590880, 11674378, 11934016, and 51972335), and the Key Program of the Chinese Academy of Sciences.

摘要/Abstract

摘要： Grouping different oxide materials with coupled charge, spin, and orbital degrees of freedom together to form heterostructures provides a rich playground to explore the emergent interfacial phenomena. The perovskite/brownmillerite heterostructure is particularly interesting since symmetry mismatch may produce considerable interface reconstruction and unexpected physical effects. Here, we systemically study the magnetic anisotropy of tensely strained La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers with interface structures changing from perovskite/brownmillerite type to perovskite/perovskite type. Without Mn doping, the initial La_2/3Sr_1/3CoO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3CoO_2.5+δ trilayer with perovskite/brownmillerite interface type exhibits perpendicular magnetic anisotropy and the maximal anisotropy constant is 3.385×10⁶ erg/cm³, which is more than one orders of magnitude larger than that of same strained LSMO film. By increasing the Mn doping concentration, the anisotropy constant displays monotonic reduction and even changes from perpendicular magnetic anisotropy to in-plane magnetic anisotropy, which is possible because of the reduced CoO₄ tetrahedra concentration in the La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ layers near the interface. Based on the analysis of the x-ray linear dichroism, the orbital reconstruction of Mn ions occurs at the interface of the trilayers and thus results in the controllable magnetic anisotropy.

关键词: perovskite/brownmillerite heterostructure, magnetic anisotropy, orbital reconstruction

Abstract: Grouping different oxide materials with coupled charge, spin, and orbital degrees of freedom together to form heterostructures provides a rich playground to explore the emergent interfacial phenomena. The perovskite/brownmillerite heterostructure is particularly interesting since symmetry mismatch may produce considerable interface reconstruction and unexpected physical effects. Here, we systemically study the magnetic anisotropy of tensely strained La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers with interface structures changing from perovskite/brownmillerite type to perovskite/perovskite type. Without Mn doping, the initial La_2/3Sr_1/3CoO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3CoO_2.5+δ trilayer with perovskite/brownmillerite interface type exhibits perpendicular magnetic anisotropy and the maximal anisotropy constant is 3.385×10⁶ erg/cm³, which is more than one orders of magnitude larger than that of same strained LSMO film. By increasing the Mn doping concentration, the anisotropy constant displays monotonic reduction and even changes from perpendicular magnetic anisotropy to in-plane magnetic anisotropy, which is possible because of the reduced CoO₄ tetrahedra concentration in the La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ layers near the interface. Based on the analysis of the x-ray linear dichroism, the orbital reconstruction of Mn ions occurs at the interface of the trilayers and thus results in the controllable magnetic anisotropy.

Key words: perovskite/brownmillerite heterostructure, magnetic anisotropy, orbital reconstruction

中图分类号: (Multilayers, superlattices, heterostructures)

74.78.Fk

75.30.Gw (Magnetic anisotropy) 75.25.Dk (Orbital, charge, and other orders, including coupling of these orders)

黄海林, 朱亮, 张慧, 张金娥, 韩福荣, 宋京华, 陈晓冰, 陈沅沙, 蔡建旺, 白雪冬, 胡凤霞, 沈保根, 孙继荣. Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers[J]. 中国物理B, 2020, 29(9): 97402-097402.

Hai-Lin Huang(黄海林), Liang Zhu(朱亮), Hui Zhang(张慧), Jin-E Zhang(张金娥), Fu-Rong Han(韩福荣), Jing-Hua Song(宋京华), Xiaobing Chen(陈晓冰), Yuan-Sha Chen(陈沅沙), Jian-Wang Cai(蔡建旺), Xue-Dong Bai(白雪冬), Feng-Xia Hu(胡凤霞), Bao-Gen Shen(沈保根), Ji-Rong Sun(孙继荣). Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers[J]. Chin. Phys. B, 2020, 29(9): 97402-097402.

参考文献 41

[1]	Okamoto S and Millis A J 2004 Nature 428 630 doi: 10.1038/nature02450
[2]	Chakhalian J, Freeland J W, Habermeier H U, Cristiani G, Khaliullin G, van Veenendaal M and Keimer B 2007 Science 318 1114 doi: 10.1126/science.1149338
[3]	Zubko P, Gariglio S, Gabay M, Ghosez P and Triscone J M 2011 Annu. Rev. Condens. Matter Phys. 2 141 doi: 10.1146/annurev-conmatphys-062910-140445
[4]	Hwang H Y, Iwasa Y, Kawasaki M, Keimer B, Nagaosa N and Tokura Y 2012 Nat. Mater. 11 103 doi: 10.1038/nmat3223
[5]	Cui B, Song C, Li F, Wang G Y, Mao H J, Peng J J, Zeng F and Pan F 2015 Sci. Rep. 4 4206 doi: 10.1038/srep04206
[6]	Bhattacharya A and May S J 2014 Annu. Rev. Mater. Res. 44 65 doi: 10.1146/annurev-matsci-070813-113447
[7]	Hellman F, Hoffmann A, Tserkovnyak Y et al. 2017 Rev. Mod. Phys. 89 025006 doi: 10.1103/RevModPhys.89.025006
[8]	Dieny B and Chshiev M 2017 Rev. Mod. Phys. 89 025008 doi: 10.1103/RevModPhys.89.025008
[9]	Chappert C, Fert A and Van Dau F N 2007 Nat. Mater. 6 813 doi: 10.1038/nmat2024
[10]	Ngai J H, Walker F J and Ahn C H 2014 Annu. Rev. Mater. Res. 44 1 doi: 10.1146/annurev-matsci-070813-113248
[11]	Kent A D and Worledge D C 2015 Nat. Nanotechnol. 10 187 doi: 10.1038/nnano.2015.24
[12]	He J, Borisevich A, Kalinin S V, Pennycook S J and Pantelides S T 2010 Phys. Rev. Lett. 105 227203 doi: 10.1103/PhysRevLett.105.227203
[13]	Rondinelli J M, May S J and Freeland J W 2012 MRS Bull. 37 261 doi: 10.1557/mrs.2012.49
[14]	Aso R, Kan D, Shimakawa Y and Kurata H 2013 Sci. Rep. 3 2214 doi: 10.1038/srep02214
[15]	Aso R, Kan D, Shimakawa Y and Kurata H 2014 Adv. Funct. Mater. 24 5177 doi: 10.1002/adfm.201303521
[16]	Liao Z, Huijben M, Zhong Z, Gauquelin N, Macke S, Green R J, Van Aert S, Verbeeck J, Van Tendeloo G, Held K, Sawatzky G A, Koster G and Rijnders G 2016 Nat. Mater. 15 425 doi: 10.1038/nmat4579
[17]	Kan D, Aso R, Sato R, Haruta M, Kurata H and Shimakawa Y 2016 Nat. Mater. 15 432 doi: 10.1038/nmat4580
[18]	Yi D, Flint C L, Balakrishnan P P, Mahalingam K, Urwin B, Vailionis A, N'Diaye A T, Shafer P, Arenholz E, Choi Y, Stone K H, Chu J H, Howe B M, Liu J, Fisher I R and Suzuki Y 2017 Phys. Rev. Lett. 119 077201 doi: 10.1103/PhysRevLett.119.077201
[19]	Ismail-Beigi S, Walker F J, Disa A S, Rabe K M and Ahn C H 2017 Nat. Rev. Mater. 2 17060 doi: 10.1038/natrevmats.2017.60
[20]	Wang L F, Feng Q Y, Kim Y, Kim R, Lee K H, Pollard S D, Shin Y J, Zhou H B, Peng W, Lee D, Meng W J, Yang H, Han J H, Kim M, Lu Q Y and Noh T W 2018 Nat. Mater. 17 1087 doi: 10.1038/s41563-018-0204-4
[21]	Ding J F, Cossu F, Lebedev O I, Zhang Y Q, Zhang Z D, Schwingenschlogl U and Wu T 2016 Adv. Mater. Interfaces 3 1500676 doi: 10.1002/admi.201500676
[22]	Zhang J, Zhong Z, Guan X, Shen X, Zhang J, Han F, Zhang H, Zhang H, Yan X, Zhang Q, Gu L, Hu F, Yu R, Shen B and Sun J 2018 Nat. Commun. 9 04304 doi: 10.1038/s41467-018-06769-y
[23]	Zhang J E, Han F R, Wang W, Shen X, Zhang J, Zhang H, Huang H L, Zhang H R, Chen X B, Qi S J, Chen Y S, Hu F X, Yan S S, Shen B G, Yu R C and Sun J R 2019 Phys. Rev. B 100 094432 doi: 10.1103/PhysRevB.100.094432
[24]	Behera B C, Jana S, Bhat S G, Gauquelin N, Tripathy G, Anil Kumar P S and Samal D 2019 Phys. Rev. B 99 024425 doi: 10.1103/PhysRevB.99.024425
[25]	Liu B, Wang Y Q, Liu G J, Feng H L, Yang H W, Xue X Y and Sun J R 2016 Phys. Rev. B 93 094421 doi: 10.1103/PhysRevB.93.094421
[26]	Li J, Wang J, Kuang H, Zhang H R, Zhao Y Y, Qiao K M, Wang F, Liu W, Wang W, Peng L C, Zhang Y, Yu R C, Hu F X, Sun J R and Shen B G 2017 Nanoscale 9 13214 doi: 10.1039/C7NR03162A
[27]	Zhang J E, Chen X X, Zhang Q H, Han F R, Zhang J, Zhang H, Zhang H R, Huang H L, Qi S J, Yan X, Gu L, Chen Y S, Hu F X, Yan S S, Liu B G, Shen B G and Sun J R 2018 ACS Appl. Mater. Interfaces 10 40951 doi: 10.1021/acsami.8b14981
[28]	Steenbeck K and Hiergeist R 1999 Appl. Phys. Lett. 75 1778 doi: 10.1063/1.124817
[29]	Steenbeck K, Habisreuther T, Dubourdieu C and Sénateur J P 2002 Appl. Phys. Lett. 80 3361 doi: 10.1063/1.1473870
[30]	Yang H W, Zhang H R, Li Y, Wang S F, Shen X, Lan Q Q, Meng S, Yu R C, Shen B G and Sun J R 2015 Sci. Rep. 4 06206 doi: 10.1038/srep06206
[31]	Bruno P 1989 Phys. Rev. B 39 865 doi: 10.1103/PhysRevB.39.865
[32]	Huang H B, Shishidou T and Jo T 2000 J. Phys. Soc. Jpn. 69 2399 doi: 10.1143/JPSJ.69.2399
[33]	Huijben M, Martin L W, Chu Y H, Holcomb M B, Yu P, Rijnders G, Blank D H A and Ramesh R 2008 Phys. Rev. B 78 094413 doi: 10.1103/PhysRevB.78.094413
[34]	Tebano A, Aruta C, Sanna S, Medaglia P G, Balestrino G, Sidorenko A A, De Renzi R, Ghiringhelli G, Braicovich L, Bisogni V and Brookes N B 2008 Phys. Rev. Lett. 100 137401 doi: 10.1103/PhysRevLett.100.137401
[35]	Yi D, Lu N P, Chen X G, Shen S C and Yu P 2017 J. Phys.: Condens. Matter 29 443004 doi: 10.1088/1361-648X/aa824d
[36]	Huang D J, Wu W B, Guo G Y, Lin H J, Hou T Y, Chang C F, Chen C T, Fujimori A, Kimura T, Huang H B, Tanaka A and Jo T 2004 Phys. Rev. Lett. 92 087202 doi: 10.1103/PhysRevLett.92.087202
[37]	Aruta C, Ghiringhelli G, Tebano A, Boggio N G, Brookes N B, Medaglia P G and Balestrino G 2006 Phys. Rev. B 73 235121 doi: 10.1103/PhysRevB.73.235121
[38]	Pesquera D, Herranz G, Barla A, Pellegrin E, Bondino F, Magnano E, Sanchez F and Fontcuberta J 2012 Nat. Commun. 3 1189 doi: 10.1038/ncomms2189
[39]	Peng J, Song C, Li F, Cui B, Mao H, Wang Y, Wang G and Pan F 2015 ACS Appl. Mat. Interfaces 7 17700 doi: 10.1021/acsami.5b04994
[40]	Cui B, Li F, Song C, Peng J J, Saleem M S, Gu Y D, Li S N, Wang K L and Pan F 2016 Phys. Rev. B 94 134403 doi: 10.1103/PhysRevB.94.134403
[41]	Bruno P, Magnetismus Von Festkörpern und Grenzflächen 1993 KFA: Jülich Germany, Chapter 24 1-p doi: J

Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers

Tuning magnetic anisotropy by interfacial engineering in La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ/La_2/3Sr_1/3MnO₃/La_2/3Sr_1/3Co_1-xMn_xO_2.5+δ trilayers

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