Unconventional chiral d-wave superconducting state in strained graphene

doi:10.1088/1674-1056/ab478c

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 117403-117403.doi: 10.1088/1674-1056/ab478c

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

Unconventional chiral d-wave superconducting state in strained graphene

Feng Xu(徐峰), Lei Zhang(张磊)

1 Department of Physics, Jiangxi Normal University, Nanchang 330022, China;
2 Department of Physics, Shaanxi University of Technology, Hanzhong 723001, China

收稿日期:2019-02-25 修回日期:2019-09-23 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Feng Xu E-mail:xufengxlx@snut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11804213 and 11605109).

Unconventional chiral d-wave superconducting state in strained graphene

Feng Xu(徐峰)^1,2, Lei Zhang(张磊)²

1 Department of Physics, Jiangxi Normal University, Nanchang 330022, China;
2 Department of Physics, Shaanxi University of Technology, Hanzhong 723001, China

Received:2019-02-25 Revised:2019-09-23 Online:2019-11-05 Published:2019-11-05
Contact: Feng Xu E-mail:xufengxlx@snut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11804213 and 11605109).

摘要/Abstract

摘要： We consider a highly unconventional superconducting state with chiral d-wave symmetry in doped graphene under strain with the Gutzwiller-RVB method in the momentum space. It is shown that flat bands emerge in the normal state for reasonable strain. As a result, the superconducting critical temperature is found to be linearly proportional to the strength of the electron-electron interaction. Furthermore, the chiral d-wave superconducting state is shown with coexistence of the charge density wave and the pair density wave. There are different coexisting states with those orders under different doping levels.

关键词: chiral d-wave superconducting state, pair density wave, flat band, doped graphene

Abstract: We consider a highly unconventional superconducting state with chiral d-wave symmetry in doped graphene under strain with the Gutzwiller-RVB method in the momentum space. It is shown that flat bands emerge in the normal state for reasonable strain. As a result, the superconducting critical temperature is found to be linearly proportional to the strength of the electron-electron interaction. Furthermore, the chiral d-wave superconducting state is shown with coexistence of the charge density wave and the pair density wave. There are different coexisting states with those orders under different doping levels.

Key words: chiral d-wave superconducting state, pair density wave, flat band, doped graphene

中图分类号: (Carbon-based superconductors)

74.70.Wz

74.72.Kf (Pseudogap regime) 74.72.Ek (Electron-doped)

徐峰, 张磊. Unconventional chiral d-wave superconducting state in strained graphene[J]. 中国物理B, 2019, 28(11): 117403-117403.

Feng Xu(徐峰), Lei Zhang(张磊). Unconventional chiral d-wave superconducting state in strained graphene[J]. Chin. Phys. B, 2019, 28(11): 117403-117403.

参考文献 30

[1]	Castro A H, Guinea F, Peres N M R, Novoselov K S and Geim A K 2009 Rev. Mod. Phys. 81 109 doi: 10.1103/RevModPhys.81.109
[2]	Kotov V N, Uchoa B, Pereira V M, Guinea F and Castro A H 2012 Rev. Mod. Phys. 84 1067 doi: 10.1103/RevModPhys.84.1067
[3]	Uchoa B and Castro A H 2007 Phys. Rev. Lett. 98 146801 doi: 10.1103/PhysRevLett.98.146801
[4]	Zhou J H, Qin Tao and Shi J R 2013 Chin. Phys. Lett. 30 017401 doi: 10.1088/0256-307X/30/1/017401
[5]	Schaffer B A M and Doniach S 2007 Phys. Rev. B 75 134512 doi: 10.1103/PhysRevB.75.134512
[6]	Honerkamp C 2008 Phys. Rev. Lett. 100 146404 doi: 10.1103/PhysRevLett.100.146404
[7]	Pathak S, Shenoy V B and Baskaran G 2010 Phys. Rev. B 81 085431 doi: 10.1103/PhysRevB.81.085431
[8]	Lin H Q, Hu F, Huang Z and Ma T 2011 Phys. Rev. B 84 121410 doi: 10.1103/PhysRevB.84.121410
[9]	Lin H Q, Hu F, Huang Z and Ma T 2012 Phys. Rev. B 85 035414 doi: 10.1103/PhysRevB.85.035414
[10]	Nandkishore R, Levitov L S and Chubukov A V 2012 Nat. Phys. 8 158 doi: 10.1038/nphys2208
[11]	Hur K L, Honerkamp C, Scherer M M and Wu Wei 2013 Phys. Rev. B 87 094521 doi: 10.1103/PhysRevB.87.094521
[12]	Schmidt J, Bouhon A and Schuffer B A M 2016 Phys. Rev. B 94 104513 doi: 10.1103/PhysRevB.94.104513
[13]	Schaffer A M B and Carsten H 2014 J. Phys.:Condens. Matter 26 423201 doi: 10.1088/0953-8984/26/42/423201
[14]	Uchoa B and Barlas Y 2013 Phys. Rev. Lett. 111 046604 doi: 10.1103/PhysRevLett.111.046604
[15]	Roy B and Juricic V 2014 Phys. Rev. B 90 041413 doi: 10.1103/PhysRevB.90.041413
[16]	Kauppila V J, Aikebaier F and Heikkila T T 2016 Phys. Rev. B 93 214505 doi: 10.1103/PhysRevB.93.214505
[17]	Xu F, Chou P H, Chung T T, Lee T K and Mou C Y 2018 Phys. Rev. B 98 205103 doi: 10.1103/PhysRevB.98.205103
[18]	Kopnin N B, Heikkila T T and Volovik G E 2011 Phys. Rev. B 83 220503(R)
[19]	Pereira V M, Castro H and Peres N M R 2009 Phys. Rev. B 80 045401
[20]	Guo D, Kondo T, Machida K, Iwatake K, Okada S and Nakamura K 2012 Nat. Commun. 3 1068 doi: 10.1038/ncomms2072
[21]	Tapaszto L, Dumitrica T, Kim S J, Nemes-Incze P, Hwang C and Biro L P 2012 Nat. Phys. 8 739 doi: 10.1038/nphys2389
[22]	Peotta S and Torma P 2015 Nat. Commun. 6 8944 doi: 10.1038/ncomms9944
[23]	Cao Y, Fatemi V, Fang S, Watanabe K, et al. 2018 Nature 556 43 doi: 10.1038/nature26160
[24]	Cao Y, Fatemi V, Fang S, Watanabe K, et al. 2018 Nature 556 80 doi: 10.1038/nature26154
[25]	Lee P A, Nagaosa N and Wen X G 2006 Rev. Mod. Phys. 78 17 doi: 10.1103/RevModPhys.78.17
[26]	Fradkin E, Kivelson S A and Tranquada J M 2015 Rev. Mod. Phys. 87 457 doi: 10.1103/RevModPhys.87.457
[27]	Seo K, Chen H and Hu J 2008 Phys. Rev. B 78 094510 doi: 10.1103/PhysRevB.78.094510
[28]	Lee P A 2014 Phys. Rev. X 4 031017
[29]	Pepin C, Carvalho V S, Kloss T and Montiel X 2014 Phys. Rev. B 90 195207 doi: 10.1103/PhysRevB.90.195207
[30]	Levy N, Burke S A, Meaker K L, Panlasigui M, Zettl A, Guinea F, Neto A H C and Crommie M F 2010 Science 329 544 doi: 10.1126/science.1191700

Unconventional chiral d-wave superconducting state in strained graphene

Unconventional chiral d-wave superconducting state in strained graphene

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