Topological superconductors with spin-triplet pairings and Majorana Fermi arcs

doi:10.1088/1674-1056/ad462f

中国物理B ›› 2024, Vol. 33 ›› Issue (8): 87301-087301.doi: 10.1088/1674-1056/ad462f

Topological superconductors with spin-triplet pairings and Majorana Fermi arcs

Shi Huang(黄石) and Xi Luo(罗熙)†

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2024-01-11 修回日期:2024-04-19 出版日期:2024-08-15 发布日期:2024-07-15
通讯作者: Xi Luo E-mail:xiluo@usst.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174067 and 11804223).

Topological superconductors with spin-triplet pairings and Majorana Fermi arcs

Shi Huang(黄石) and Xi Luo(罗熙)†

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2024-01-11 Revised:2024-04-19 Online:2024-08-15 Published:2024-07-15
Contact: Xi Luo E-mail:xiluo@usst.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12174067 and 11804223).

摘要/Abstract

摘要： We construct a three-dimensional topological superconductor Bogoliubov-de Gennes (BdG) Hamiltonian with the normal state being a three-dimensional topological insulator. By introducing inter-orbital spin-triplet pairings term $\varDelta_3$, there are topological Majorana nodes in the bulk and they are connected by Majorana Fermi arcs on the surface, similar to the case of Weyl semimetal. Furthermore, by adding an inversion-breaking term to the normal state, momentum-independent pairing terms with different parities can coexist in the BdG Hamiltonian, which creates more Majorana modes similar to Andreev bound states and a richer phase diagram.

关键词: topological surface states, topological superconductors, topological nodes, Weyl points, Majorana Fermi arcs

Abstract: We construct a three-dimensional topological superconductor Bogoliubov-de Gennes (BdG) Hamiltonian with the normal state being a three-dimensional topological insulator. By introducing inter-orbital spin-triplet pairings term $\varDelta_3$, there are topological Majorana nodes in the bulk and they are connected by Majorana Fermi arcs on the surface, similar to the case of Weyl semimetal. Furthermore, by adding an inversion-breaking term to the normal state, momentum-independent pairing terms with different parities can coexist in the BdG Hamiltonian, which creates more Majorana modes similar to Andreev bound states and a richer phase diagram.

Key words: topological surface states, topological superconductors, topological nodes, Weyl points, Majorana Fermi arcs

中图分类号: (Surface states, band structure, electron density of states)

73.20.At

74.20.-z (Theories and models of superconducting state) 03.65.Vf (Phases: geometric; dynamic or topological)

Shi Huang(黄石) and Xi Luo(罗熙). Topological superconductors with spin-triplet pairings and Majorana Fermi arcs[J]. 中国物理B, 2024, 33(8): 87301-087301.

Shi Huang(黄石) and Xi Luo(罗熙). Topological superconductors with spin-triplet pairings and Majorana Fermi arcs[J]. Chin. Phys. B, 2024, 33(8): 87301-087301.

参考文献

[1] Wan X, Turner A M, Vishwanath A and Savrasov S Y 2011 Phys. Rev. B 83 205101
[2] Xu G, Weng H M, Wang Z J, et al. 2011 Phys. Rev. Lett. 107 186806
[3] Weng H M, Fang C, Fang Z, et al. 2015 Phys. Rev. X 5 011029
[4] Huang S M, Xu S Y, Belopolski I, et al. 2015 Nat. Commun. 6 7373
[5] Lv B Q, Weng H M, Fu B B, et al. 2015 Phys. Rev. X 5 031013
[6] Lv B Q, Xu N, Weng H M, et al. 2015 Nat. Phys. 11 724
[7] Xu S Y, Belopolski I, Alidoust N, et al. 2015 Science 349 613
[8] Hatsugai Y 1993 Phys. Rev. Lett. 71 3697
[9] Wang Z, Sun Y, Chen X Q, et al. 2012 Phys. Rev. B 85 195320
[10] Burkov A A, Hook M D and Balents L 2011 Phys. Rev. B 84 235126
[11] Weng H M, Liang Y, Xu Q, et al. 2015 Phys. Rev. B 92 045108
[12] Bradlyn B, Cano J, Wang Z J, et al. 2016 Science 353 558
[13] Weng H M, Fang C, Fang Z, et al. 2016 Phys. Rev. B 93 241202
[14] Li F Y, Li Y D, Kim Y B, et al. 2016 Nat. Commun. 7 12691
[15] Prodan E and Prodan C 2009 Phys. Rev. Lett. 103 248101
[16] Zhang L F, Ren J, Wang J S and Li B W 2010 Phys. Rev. Lett. 105 225901
[17] He H, Qiu C, Ye L, et al. 2018 Nature 560 61
[18] Khanikaev A B, Hossein M S, Tse W K, et al. 2013 Nat. Mater. 12 233
[19] Chen W J, Jiang S J, Chen X D, et al. 2014 Nat. Commun. 5 5782
[20] Ding K, Ma G C, Xiao M, et al. 2016 Phys. Rev. X 6 021007
[21] Kitaev A 2003 Ann. Phys. (NY) 303 2
[22] Kitaev A 2001 Phys. Usp. 44 131
[23] Lian B, Sun X Q, Vaezi A, et al. 2018 Proc. Natl. Acad. Sci. USA 115 10938
[24] Zhan Y M, Chen Y G, Chen B, et al. 2022 New J. Phys. 24 043009
[25] Majorana E 1937 Il Nuovo Cimento 14 171
[26] Fu L and Kane C L 2008 Phys. Rev. Lett. 100 096407
[27] Wray L A, Xu S Y, Xia Y, et al. 2010 Nat. Phys. 6 855
[28] Sato M 2006 Phys. Rev. B 73 214502
[29] Yang S Y A, Pan H and Zhang F 2014 Phys. Rev. Lett. 113 046401
[30] Sato M and Fujimoto S 2010 Phys. Rev. Lett. 105 217001
[31] Zhang P, Yaji K, Hashimoto T, et al. 2018 Science 360 182
[32] Zhang P, Wang Z J, Wu X X, et al. 2019 Nat. Phys. 15 41
[33] Wang D F, Kong L Y, Fan P, et al. 2018 Science 362 333
[34] Kamihara Y, Watanabe T, Hirano M, et al. 2008 J. Am. Chem. Soc. 130 3296
[35] Bernevig B A, Hughes T L and Zhang S C 2019 Science 314 1757
[36] Zhang H J, Liu C X, Qi X L, et al. 2009 Nat. Phys. 5 438
[37] Zhang R X, Cole W S and Das Sarma S 2019 Phys. Rev. Lett. 122 187001
[38] Wang Z J, Zhang P, Xu G, et al. 2015 Phys. Rev. B 92 115119
[39] Nakosai S, Tanaka Y and Nagaosa N 2012 Phys. Rev. Lett. 108 147003
[40] Zhang R X and Das Sarma S 2021 Phys. Rev. Lett. 126 137001
[41] Fu L and Berg E 2010 Phys. Rev. Lett. 105 097001
[42] Xu Y M, Huang Y B, Cui X Y, et al. 2011 Nat. Phys. 7 198
[43] Ueno Y, Yamakage A, Tanaka Y, et al. 2013 Phys. Rev. Lett. 111 087002
[44] Shiozaki K and Sato M 2014 Phys. Rev. B 90 165114
[45] Sato M and Fujimoto S 2009 Phys. Rev. B 79 094504
[46] Sedlmayr N, Kaladzhyan V, Dutreix C, et al. 2017 Phys. Rev. B 96 184516
[47] Setiawan F, William S Cole, Jay D S, et al. 2017 Phys. Rev. B 95 020501
[48] Schnyder A P, Brydon P M R, Manske D, et al. 2010 Phys. Rev. B 82 184508
[49] Goll G 2006 Physica B 383 71
[50] Altland A and Zirnbauer M R 1997 Phys. Rev. B 55 1142

Topological superconductors with spin-triplet pairings and Majorana Fermi arcs

Topological superconductors with spin-triplet pairings and Majorana Fermi arcs

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

Metrics

本文评价

推荐阅读 0

[1]	Conghao Lin(林丛豪), Chuanshuai Huang(黄传帅), and Xiancong Lu(卢仙聪). Customizing topological phases in the twisted bilayer superconductors with even-parity pairings[J]. 中国物理B, 2023, 32(8): 87401-087401.
[2]	Mei-Ling Lu(卢美玲), Yao Wang(王瑶), He-Zhi Zhang(张鹤之), Hao-Lin Chen(陈昊林), Tian-Yuan Cui(崔天元), and Xi Luo(罗熙). Chiral symmetry protected topological nodal superconducting phase and Majorana Fermi arc[J]. 中国物理B, 2023, 32(2): 27301-027301.
[3]	Geng Li(李更), Shiyu Zhu(朱诗雨), Peng Fan(范朋), Lu Cao(曹路), and Hong-Jun Gao(高鸿钧). Exploring Majorana zero modes in iron-based superconductors[J]. 中国物理B, 2022, 31(8): 80301-080301.