Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states

doi:10.1088/1674-1056/ac7213

中国物理B ›› 2022, Vol. 31 ›› Issue (10): 107101-107101.doi: 10.1088/1674-1056/ac7213

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states

Zhen-Zhen Huang(黄真真), Xiong-Tao Peng(彭雄涛), Wan-Sheng Wang(王万胜), and Jin-Hua Sun(孙金华)^†

School of Physical Science and Technology, Ningbo University, Ningbo 315211, China

收稿日期:2022-04-03 修回日期:2022-05-17 出版日期:2022-10-16 发布日期:2022-09-16
通讯作者: Jin-Hua Sun E-mail:sunjinhua@nbu.edu.cn
基金资助:
Project supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY19A040003).

Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states

Zhen-Zhen Huang(黄真真), Xiong-Tao Peng(彭雄涛), Wan-Sheng Wang(王万胜), and Jin-Hua Sun(孙金华)^†

School of Physical Science and Technology, Ningbo University, Ningbo 315211, China

Received:2022-04-03 Revised:2022-05-17 Online:2022-10-16 Published:2022-09-16
Contact: Jin-Hua Sun E-mail:sunjinhua@nbu.edu.cn
Supported by:
Project supported by the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY19A040003).

摘要/Abstract

摘要： We study the Kondo screening of a spin-1/2 magnetic impurity coupled to a superconductor, which is fabricated by combination of an s-wave superconductor, a ferromagnet and a semiconductor with Rashba spin—orbit coupling (RSOC). The proximity induced superconducting states include the s-wave and p-wave pairing components with the aids of RSOC, and the ferromagnet induces a Zeeman field which removes the spin degeneracy of the quasiparticles in the triplet states. Thus, the Kondo screening of magnetic impurity involves the orbital degrees of freedom, and is also affected by the Zeeman field. Using the variational method, we calculate the binding energy and the spin—spin correlation between the magnetic impurity and the electrons in the coexisting s-wave and p-wave pairing states. We find that Kondo singlet forms more easily with stronger RSOC, but Zeeman field in general decreases the binding energy. The spin—spin correlation decays fast in the vicinity of the magnetic impurity. Due to the RSOC, the spatial spin—spin correlation becomes highly anisotropic, and the Zeeman field can induce extra asymmetry to the off-diagonal components of the spin—spin correlation. Our study can offer some insights into the studies of extrinsic topological superconductors fabricated from the hybrid structures containing chains of magnetic impurities.

关键词: Kondo effect, Rashba spin—orbit couplings, p-wave superconductors, Anderson model

Abstract: We study the Kondo screening of a spin-1/2 magnetic impurity coupled to a superconductor, which is fabricated by combination of an s-wave superconductor, a ferromagnet and a semiconductor with Rashba spin—orbit coupling (RSOC). The proximity induced superconducting states include the s-wave and p-wave pairing components with the aids of RSOC, and the ferromagnet induces a Zeeman field which removes the spin degeneracy of the quasiparticles in the triplet states. Thus, the Kondo screening of magnetic impurity involves the orbital degrees of freedom, and is also affected by the Zeeman field. Using the variational method, we calculate the binding energy and the spin—spin correlation between the magnetic impurity and the electrons in the coexisting s-wave and p-wave pairing states. We find that Kondo singlet forms more easily with stronger RSOC, but Zeeman field in general decreases the binding energy. The spin—spin correlation decays fast in the vicinity of the magnetic impurity. Due to the RSOC, the spatial spin—spin correlation becomes highly anisotropic, and the Zeeman field can induce extra asymmetry to the off-diagonal components of the spin—spin correlation. Our study can offer some insights into the studies of extrinsic topological superconductors fabricated from the hybrid structures containing chains of magnetic impurities.

Key words: Kondo effect, Rashba spin—orbit couplings, p-wave superconductors, Anderson model

中图分类号: (Transition metals and alloys)

71.20.Be

75.20.Hr (Local moment in compounds and alloys; Kondo effect, valence fluctuations, heavy fermions) 03.65.Vf (Phases: geometric; dynamic or topological) 71.27.+a (Strongly correlated electron systems; heavy fermions)

Zhen-Zhen Huang(黄真真), Xiong-Tao Peng(彭雄涛), Wan-Sheng Wang(王万胜), and Jin-Hua Sun(孙金华). Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states[J]. 中国物理B, 2022, 31(10): 107101-107101.

参考文献

[1] Kondo J 1964 Prog. Theor. Phys. 32 37
[2] Anderson P W 1961 Phys. Rev. 124 41
[3] Wilson K G 1975 Rev. Mod. Phys. 47 773
[4] Yu L 1965 Acta Phys. Sin. 21 75 (in Chinese)
[5] Shiba H 1968 Prog. Theor. Phys. 40 435
[6] Rusinov A I 1969 Sov. Phys. JETP 29 1101
[7] Hudson E W, Lang K M, Madhavan V, Pan S H, Eisaki H, Uchida S and Davis J C 2001 Nature 411 920
[8] Yazdani A, Howald C M, Lutz C P, KapitulniA k and Eigler D M 1999 Phys. Rev. Lett. 83 176
[9] Hudson E W, Pan S H, Gupta A K, Ng K W and Davis J C 1999 Science 285 88
[10] Pan S H, Hudson E W, Lang K M, Eisaki H, Uchida S and Davis J C 2000 Nature 403 746
[11] Tsai W F, Zhang Y Y, Fang C and Hu J P 2009 Phys. Rev. B 80 064513
[12] Bang Y K, Choi H Y and Won H 2009 Phys. Rev. B 79 054529
[13] Akbari A, Eremin I and Thalmeier P 2010 Phys. Rev. B 81 014524
[14] Zha G Q and Jin Y Y 2017 Europhys. Lett. 120 27002
[15] Guo Y Wu, Li W and Chen Y 2017 Front. Phys. 12 1
[16] Sau J D and Demler E 2013 Phys. Rev. B 88 205402
[17] Fu Z G, Zhang P, Wang Z G and Li S S 2012 J. Phys.: Condens. Matter 24 145502
[18] Chen L, Zhang Y L and Han R S 2019 J. Phys.: Condens. Matter 31 505603
[19] Chen R, Zhou B and Xu D H 2018 Phys. Rev. B 97 155152
[20] Ishii H 1978 J. Low Temp. Phys. 32 457
[21] Barzykin V and Affleck I 1998 Phys. Rev. B 57 432
[22] Borda L 2007 Phys. Rev. B 75 041307
[23] Moca C P, Weymann I, Werner M A and Zaránd G 2021 Phys. Rev. Lett. 127 186804
[24] Borzenets I V, Shim J, Chen J C H, Ludwig A, Wieck A D, Tarucha S, Sim H S and Yamamoto M 2020 Nature 579 210
[25] Wang Rui, Su W, Zhu J X, Ting C S, Li H, Chen C F, Wang B and Wang X Q 2019 Phys. Rev. Lett. 122 087001
[26] Li L, Sun J H, Su W, Wang Z H, Xu D H, Luo H G and Chen W Q 2021 Phys. Rev. B 103 125144
[27] Varma C M and Yafet Y 1976 Phys. Rev. B 13 2950
[28] Gunnarsson O and Schönhammer K 1983 Phys. Rev. Lett. 50 604
[29] Aji V, Varma C M and Vekhter I 2008 Phys. Rev. B 77 224426
[30] Feng X Y, Chen W Q, Gao J H, Wang Q H and Zhang F C 2010 Phys. Rev. B 81 235411
[31] Sun J H, Xu D H, Zhang F C and Zhou Y 2015 Phys. Rev. B 92 195124
[32] Sun J H, Wang L J, Hu X T, Li L and Xu D H 2018 Phys. Rev. B 97 035130
[33] Wang L J, Hu X T, Li L, Xu D H, Sun J H and Chen W Q 2019 Phys. Rev. B 99 235108
[34] Yang X R, Huang Z Z, Wang W S and Sun J H 2021 Chin. Phys. B 30 067103
[35] Deng Y H, Lü H F, K S S, Guo Y and Zhang H W 2018 J. Phys.: Condens. Matter 30 435602
[36] Hone D 1967 Solid State Commun. 5 705
[37] Simonin J and Allub R 1995 Phys. Rev. Lett. 74 466
[38] Simon M E and Varma C M 1999 Phys. Rev. B 60 9744
[39] Rozhkov A V and Arovas D P 2000 Phys. Rev. B 62 6687
[40] Gor'kov L P and Rashba E I 2001 Phys. Rev. Lett. 87 037004
[41] Frigeri P A, Agterberg D F, Koga A and Sigrist M 2004 Phys. Rev. Lett. 92 097001
[42] Frigeri P A, Agterberg D F, Koga A and Sigrist M 2004 Phys. Rev. Lett. 93 099903
[43] Sau J D, Lutchyn R M, Tewari S and Sarma S D 2010 Phys. Rev. Lett. 104 040502
[44] Lutchyn R M, Sau J D and Sarma S D 2010 Phys. Rev. Lett. 105 077001
[45] Ojanen T and Kitagawa T 2012 Phys. Rev. B 85 161202
[46] Wong A, Ulloa S E, Sandler N and Ingersent K 2016 Phys. Rev. B 93 075148
[47] Allison G, Fujita T, Morimoto K, Teraoka S, Larsson M, Kiyama H, Oiwa A, Haffouz S, Austing D G, Ludwig D G, Wieck A D and Tarucha S 2014 Phys. Rev. B 90 235310
[48] Ž itko R and Bonča J 2011 Phys. Rev. B 84 193411
[49] Zarea M, Ulloa S E and Sandler N 2012 Phys. Rev. Lett. 108 046601
[50] Isaev L, Agterberg D F and Vekhter I 2012 Phys. Rev. B 85 081107
[51] Fujimoto S 2008 Phys. Rev. B 77 220501
[52] Zhang C W, Tewari S, Lutchyn R M and Sarma S D 2008 Phys. Rev. Lett. 101 160401
[53] Alicea J 2010 Phys. Rev. B 81 125318
[54] Alicea J 2012 Rep. Prog. Phys. 75 076501
[55] Malecki J 2007 J. Statist. Phys. 129 741

Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states

Kondo screening cloud in a superconductor with mixed s-wave and p-wave pairing states

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