Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure

doi:10.1088/1674-1056/aba272

中国物理B ›› 2020, Vol. 29 ›› Issue (9): 97401-097401.doi: 10.1088/1674-1056/aba272

Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure

Qing Yan(闫青), Yan-Feng Zhou(周彦峰), Qing-Feng Sun(孙庆丰)

1 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
2 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;
3 Department of Physics, University of Texas at Dallas, Richardson, Texas 75080, USA;
4 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2020-05-08 修回日期:2020-06-20 接受日期:2020-07-03 出版日期:2020-09-05 发布日期:2020-09-05
通讯作者: Qing-Feng Sun E-mail:sunqf@pku.edu.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2017YFA0303301), the National Natural Science Foundation of China (Grant Nos. 11921005 and 11574007), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and Beijing Municipal Science & Technology Commission, China (Grant No. Z191100007219013).

Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure

Qing Yan(闫青)^1,2, Yan-Feng Zhou(周彦峰)³, Qing-Feng Sun(孙庆丰)^1,2,4

1 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
2 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;
3 Department of Physics, University of Texas at Dallas, Richardson, Texas 75080, USA;
4 CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

Received:2020-05-08 Revised:2020-06-20 Accepted:2020-07-03 Online:2020-09-05 Published:2020-09-05
Contact: Qing-Feng Sun E-mail:sunqf@pku.edu.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2017YFA0303301), the National Natural Science Foundation of China (Grant Nos. 11921005 and 11574007), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and Beijing Municipal Science & Technology Commission, China (Grant No. Z191100007219013).

摘要/Abstract

摘要： We theoretically study the Josephson effect in a quantum anomalous Hall insulator (QAHI) nanoribbon with a domain wall structure and covered by the superconductor. The anomalous Josephson current, the nonzero supercurrent at the zero superconducting phase difference, appears with the nonzero magnetization and the suitable azimuth angle of the domain wall. Dependent on the configuration of the domain wall, the anomalous current peaks in the Bloch type but disappears in the Néel type because the y-component of magnetization is necessary to break symmetry to arouse the anomalous current. The phase shift of the anomalous current is tunable by the magnetization, the azimuth angle, or the thickness of the domain wall. By introducing a bare QAHI region in the middle of the junction which is not covered by the superconductor, the anomalous Josephson effect is enhanced such that the phase shift can exceed π. Thus, a continuous change between 0 and π junctions is realized via regulating the configuration of the domain wall or the magnetization strength. As long as an s-wave superconductor is placed on the top of the QAHI with a domain wall structure, this proposal can be experimentally fabricated and useful for the phase battery or superconducting quantum bit.

关键词: anomalous Josephson current, quantum anomalous Hall insulator, domain wall, Josephson junction

Abstract: We theoretically study the Josephson effect in a quantum anomalous Hall insulator (QAHI) nanoribbon with a domain wall structure and covered by the superconductor. The anomalous Josephson current, the nonzero supercurrent at the zero superconducting phase difference, appears with the nonzero magnetization and the suitable azimuth angle of the domain wall. Dependent on the configuration of the domain wall, the anomalous current peaks in the Bloch type but disappears in the Néel type because the y-component of magnetization is necessary to break symmetry to arouse the anomalous current. The phase shift of the anomalous current is tunable by the magnetization, the azimuth angle, or the thickness of the domain wall. By introducing a bare QAHI region in the middle of the junction which is not covered by the superconductor, the anomalous Josephson effect is enhanced such that the phase shift can exceed π. Thus, a continuous change between 0 and π junctions is realized via regulating the configuration of the domain wall or the magnetization strength. As long as an s-wave superconductor is placed on the top of the QAHI with a domain wall structure, this proposal can be experimentally fabricated and useful for the phase battery or superconducting quantum bit.

Key words: anomalous Josephson current, quantum anomalous Hall insulator, domain wall, Josephson junction

中图分类号: (Proximity effects; Andreev reflection; SN and SNS junctions)

74.45.+c

75.60.Ch (Domain walls and domain structure) 73.23.-b (Electronic transport in mesoscopic systems)

闫青, 周彦峰, 孙庆丰. Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure[J]. 中国物理B, 2020, 29(9): 97401-097401.

Qing Yan(闫青), Yan-Feng Zhou(周彦峰), Qing-Feng Sun(孙庆丰). Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure[J]. Chin. Phys. B, 2020, 29(9): 97401-097401.

参考文献 76

[1]	Josephson B 1962 Phys. Lett. 1 251 doi: 10.1016/0031-9163(62)91369-0
[2]	Anderson P W and Rowell J M 1963 Phys. Rev. Lett. 10 230 doi: 10.1103/PhysRevLett.10.230
[3]	Makhlin Y, Schön G and Shnirman A 2001 Rev. Mod. Phys. 73 357 doi: 10.1103/RevModPhys.73.357
[4]	Xu W Z, Qin L X, Ye X G, Lin Fang, Yu D P and Liao Z M 2020 Chin. Phys. B 29 057502 doi: 10.1088/1674-1056/ab8209
[5]	Golubov A A, Kupriyanov M Y and Il'ichev E 2004 Rev. Mod. Phys. 76 411 doi: 10.1103/RevModPhys.76.411
[6]	Bulaevskii L N, Kuzii V V and Sobyanin A A 1977 JETP Lett. 25 290
[7]	Ryazanov V V, Veretennikov A V, Oboznov V A, Rusanov A Y, Larkin V A, Golubov A A and Aarts J 2000 Physica C 341-348 1613 doi: 10.1016/S0921-4534(00)01476-3
[8]	Ryazanov V V, Oboznov V A, Rusanov A Y, Veretennikov A V, Golubov A A and Aarts J 2001 Phys. Rev. Lett. 86 2427 doi: 10.1103/PhysRevLett.86.2427
[9]	Zhu Y, Li W, Lin T H and Sun Q F 2002 Phys. Rev. B 66 134507 doi: 10.1103/PhysRevB.66.134507
[10]	Zeng W and Shen R 2018 Chin. Phys. B 27 097401 doi: 10.1088/1674-1056/27/9/097401
[11]	Cheng Q and Sun Q F 2019 Phys. Rev. B 99 184507 doi: 10.1103/PhysRevB.99.184507
[12]	Krive I V, Gorelik L Y, Shekhter R I and Jonson M 2004 Low Temp. Phys. 30 398 doi: 10.1063/1.1739160
[13]	Krive I V, Kadigrobov A M, Shekhter R I and Jonson M 2005 Phys. Rev. B 71 214516 doi: 10.1103/PhysRevB.71.214516
[14]	Buzdin A 2008 Phys. Rev. Lett. 101 107005 doi: 10.1103/PhysRevLett.101.107005
[15]	Reynoso A A, Usaj G, Balseiro C A, Feinberg D and Avignon M 2008 Phys. Rev. Lett. 101 107001 doi: 10.1103/PhysRevLett.101.107001
[16]	Szombati D B, Nadj-Perge S, Car D, Plissard S R, Bakkers E P A M and Kouwenhoven L P 2016 Nat. Phys. 12 568 doi: 10.1038/nphys3742
[17]	Pal S and Benjamin C 2019 Europhys. Lett. 126 57002 doi: 10.1209/0295-5075/126/57002
[18]	Yokoyama T, Eto M and Nazarov Y V 2013 J. Phys. Soc. Jpn. 82 054703 doi: 10.7566/JPSJ.82.054703
[19]	Yokoyama T, Eto M and Nazarov Y V 2014 Phys. Rev. B 89 195407 doi: 10.1103/PhysRevB.89.195407
[20]	Nesterov K N, Houzet M and Meyer J S 2016 Phys. Rev. B 93 174502 doi: 10.1103/PhysRevB.93.174502
[21]	Zazunov A, Egger R, Jonckheere T and Martin T 2009 Phys. Rev. Lett. 103 147004 doi: 10.1103/PhysRevLett.103.147004
[22]	Cheng S G, Xing Y X, Xie X C and Sun Q F 2009 Eur. Phys. J. B 67 551 doi: 10.1140/epjb/e2009-00048-0
[23]	Brunetti A, Zazunov A, Kundu A and Egger R 2013 Phys. Rev. B 88 144515 doi: 10.1103/PhysRevB.88.144515
[24]	Liu J F and Chan K S 2010 Phys. Rev. B 82 125305 doi: 10.1103/PhysRevB.82.125305
[25]	Dolcini F, Houzet M and Meyer J S 2015 Phys. Rev. B 92 035428 doi: 10.1103/PhysRevB.92.035428
[26]	Sakurai K, Ikegaya S and Asano Y 2017 Phys. Rev. B 96 224514 doi: 10.1103/PhysRevB.96.224514
[27]	Minutillo M, Giuliano D, Lucignano P, Tagliacozzo A and Campagnano G 2018 Phys. Rev. B 98 144510 doi: 10.1103/PhysRevB.98.144510
[28]	Liu J F and Chan K S 2010 Phys. Rev. B 82 184533 doi: 10.1103/PhysRevB.82.184533
[29]	Ouassou J A and Linder J 2019 Phys. Rev. B 99 214513 doi: 10.1103/PhysRevB.99.214513
[30]	Silaev M A, Tokatly I V and Bergeret F S 2017 Phys. Rev. B 95 184508 doi: 10.1103/PhysRevB.95.184508
[31]	Assouline A, Feuillet-Palma C, Bergeal N et al. 2019 Nat. Commun. 10 126 doi: 10.1038/s41467-018-08022-y
[32]	Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 doi: 10.1103/RevModPhys.83.1057
[33]	Liu C X, Zhang S C and Qi X L 2016 Annu. Rev. Condens. Matter Phys. 7 301 doi: 10.1146/annurev-conmatphys-031115-011417
[34]	Tokura Y, Yasuda K and Tsukazaki A 2019 Nat. Rev. Phys. 1 126 doi: 10.1038/s42254-018-0011-5
[35]	Chang C Z, Liu M H, Zhang Z C, Wang Y Y, He K and Xue Q K 2016 Sci. Chin.-Phys. Mech. Astron. 59 637501 doi: 10.1007/s11433-015-5761-9
[36]	He K, Ma X C, Chen X, Lü L, Wang Y Y and Xue Q K 2013 Chin. Phys. B 22 067305 doi: 10.1088/1674-1056/22/6/067305
[37]	Yu R, Zhang W, Zhang H J, Zhang S C, Dai X and Fang Z 2010 Science 329 61 doi: 10.1126/science.1187485
[38]	Chang C Z, Zhang J S, Feng X et al. 2013 Science 340 167 doi: 10.1126/science.1234414
[39]	Dziom V, Shuvaev A, Pimenov A et al. 2017 Nat. Commun. 8 15197 doi: 10.1038/ncomms15197
[40]	Xiao D, Jiang J, Shin J H et al. 2018 Phys. Rev. Lett. 120 056801 doi: 10.1103/PhysRevLett.120.056801
[41]	Chen B, Fei F C, Zhang D Q et al. 2019 Nat. Commun. 10 4469 doi: 10.1038/s41467-019-12485-y
[42]	Kou X F, Guo S T, Fan Y B et al. 2014 Phys. Rev. Lett. 113 137201 doi: 10.1103/PhysRevLett.113.137201
[43]	Chang C Z, Zhao W W, Kim D Y, Zhang H J, Assaf B A, Heiman D, Zhang S C, Liu C X, Chan M H M and Moodera J S 2015 Nat. Mater. 14 473 doi: 10.1038/nmat4204
[44]	Sun H H and Jia J F 2017 Sci. Chin.-Phys. Mech. Astron. 60 057401 doi: 10.1007/s11433-017-9011-7
[45]	Li J H, Li Y, Du S Q, Wang Z, Gu B L, Zhang S C, He K, Duan W H and Xu Y 2019 Sci. Adv. 5 eaaw5685
[46]	Gong Y, Guo J W, Li J H et al. 2019 Chin. Phys. Lett. 36 076801 doi: 10.1088/0256-307X/36/7/076801
[47]	Deng Y J, Yu Y J, Shi M Z, Guo Z X, Xu Z H, Wang J, Chen X H and Zhang Y B 2020 Science 367 895 doi: 10.1126/science.aax8156
[48]	Hubert A and Schäfer R 2009 Magnetic Domains: The Analysis of Magnetic Microstructures 2nd edn (Berlin: Springer) p. 201
[49]	Spaldin N A 2010 Magnetic Materials: Fundamentals and Applications 2nd edn (Cambridge: Cambridge University Press) p. 85
[50]	Li Z D, Hu Y C, He P B and Sun L L 2018 Chin. Phys. B 27 077505 doi: 10.1088/1674-1056/27/7/077505
[51]	Liu L, Chen W X, Wang R Q and Hu L B 2018 Chin. Phys. B 27 047201 doi: 10.1088/1674-1056/27/4/047201
[52]	Chen G, Ma T P, N'Diaye A T, Kwon H, Won C Y, Wu Y Z and Schmid A K 2013 Nat. Commun. 4 2671 doi: 10.1038/ncomms3671
[53]	Landau L and Lifshitz E 1935 Phys. Z. Sowjetunion 8 153
[54]	Chen G, Zhu J, Quesada A et al. 2013 Phys. Rev. Lett. 110 177204 doi: 10.1103/PhysRevLett.110.177204
[55]	Yasuda K, Mogi M, Yoshimi R, Tsukazaki A, Takahashi K S, Kawasaki M, Kagawa F and Tokura Y 2017 Science 358 1311 doi: 10.1126/science.aan5991
[56]	Wang J, Zhou Q, Lian B and Zhang S C 2015 Phys. Rev. B 92 064520 doi: 10.1103/PhysRevB.92.064520
[57]	Zhou Y F, Hou Z, Lv P, Xie X C and Sun Q F 2018 Sci. Chin.-Phys. Mech. Astron. 61 127811 doi: 10.1007/s11433-018-9293-6
[58]	Zheng H and Jia J F 2019 Chin. Phys. B 28 067403 doi: 10.1088/1674-1056/28/6/067403
[59]	Yan Q, Zhou Y F and Sun Q F 2019 Phys. Rev. B 100 235407 doi: 10.1103/PhysRevB.100.235407
[60]	Ding Y, Shen J, Pang Y, Liu G T, Fan J, Ji Z Q, Yang C L and Lü L 2013 Acta Phys. Sin. 62 167401 (in Chinese)
[61]	Li C A, Li J and Shen S Q 2019 Phys. Rev. B 99 100504(R)
[62]	Zhou Y F, Hou Z and Sun Q F 2018 Phys. Rev. B 98 165433 doi: 10.1103/PhysRevB.98.165433
[63]	Datta S 1995 Electronic Transport in Mesoscopic Systems (Cambridge: Cambridge University Press) pp. 141-151
[64]	Qi X L, Hughes T L and Zhang S C 2010 Phys. Rev. B 82 184516 doi: 10.1103/PhysRevB.82.184516
[65]	Likharev K K 1979 Rev. Mod. Phys. 51 101 doi: 10.1103/RevModPhys.51.101
[66]	Anderson P W and Dayem A H 1964 Phys. Rev. Lett. 13 195
[67]	Baratoff A, Blackburnf J A and Schwartzf B B 1970 Phys. Rev. Lett. 25 1096 doi: 10.1103/PhysRevLett.25.1096
[68]	Gregers-Hansen P E, Levinsen M T and Pedersen G F 1972 J. Low Temp. Phys. 7 99 doi: 10.1007/BF00629122
[69]	Sun Q F, Wang J and Lin T H 1999 Phys. Rev. B 59 3831 doi: 10.1103/PhysRevB.59.3831
[70]	Sun Q F, Wang B G, Wang J and Lin T H 2000 Phys. Rev. B 61 4754 doi: 10.1103/PhysRevB.61.4754
[71]	Sun Q F, Guo H and Wang J 2002 Phys. Rev. B 65 075315 doi: 10.1103/PhysRevB.65.075315
[72]	Li Y H, Liu J, Song J T, Jiang H, Sun Q F and Xie X C 2018 Sci. Chin.-Phys. Mech. Astron. 61 97411 doi: 10.1007/s11433-018-9232-5
[73]	Cuevas J C, Martín-Rodero A and Yeyati A L 1996 Phys. Rev. B 54 7366 doi: 10.1103/PhysRevB.54.7366
[74]	Dresselhaus M S, Dresselhaus G and Jorio A 2008 Group Theory: Application to the Physics of Condensed Matter (Berlin: Springer) p. 403
[75]	Ji Y Q, Niu Z P, Feng C D and Xing D Y 2008 Chin. Phys. Lett. 25 691 doi: 10.1088/0256-307X/25/2/091
[76]	Clarke J and Pippard A B 1969 Proc. R. Soc. Lond. A 308 447 doi: 10.1098/rspa.1969.0020

Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure

Anomalous Josephson current in quantum anomalous Hall insulator-based superconducting junctions with a domain wall structure

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