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Charge-4e superconductivity and chiral metal in 45°-twisted bilayer cuprates and related bilayers

Author

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  • Yu-Bo Liu

    (Beijing Institute of Technology)

  • Jing Zhou

    (Chongqing University of Posts and Telecommunications
    Chongqing University of Posts and Telecommunications)

  • Congjun Wu

    (WestLake University
    Westlake University
    Westlake University
    Westlake Institute for Advanced Study)

  • Fan Yang

    (Beijing Institute of Technology)

Abstract

The material realization of charge-4e/6e superconductivity (SC) is a big challenge. Here, we propose to realize charge-4e SC in maximally-twisted homobilayers, such as 45∘-twisted bilayer cuprates and 30∘-twisted bilayer graphene, referred to as twist-bilayer quasicrystals (TB-QC). When each monolayer hosts a pairing state with the largest pairing angular momentum, previous studies have found that the second-order interlayer Josephson coupling would drive chiral topological SC (TSC) in the TB-QC. Here we propose that, above the Tc of the chiral TSC, either charge-4e SC or chiral metal can arise as vestigial phases, depending on the ordering of the total- and relative-pairing-phase fields of the two layers. Based on a thorough symmetry analysis to get the low-energy effective Hamiltonian, we conduct a combined renormalization-group and Monte-Carlo study and obtain the phase diagram, which includes the charge-4e SC and chiral metal phases.

Suggested Citation

  • Yu-Bo Liu & Jing Zhou & Congjun Wu & Fan Yang, 2023. "Charge-4e superconductivity and chiral metal in 45°-twisted bilayer cuprates and related bilayers," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-43782-2
    DOI: 10.1038/s41467-023-43782-2
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    as
    1. Xiaomeng Liu & Zeyu Hao & Eslam Khalaf & Jong Yeon Lee & Yuval Ronen & Hyobin Yoo & Danial Haei Najafabadi & Kenji Watanabe & Takashi Taniguchi & Ashvin Vishwanath & Philip Kim, 2020. "Tunable spin-polarized correlated states in twisted double bilayer graphene," Nature, Nature, vol. 583(7815), pages 221-225, July.
    2. Jeong Min Park & Yuan Cao & Kenji Watanabe & Takashi Taniguchi & Pablo Jarillo-Herrero, 2021. "Tunable strongly coupled superconductivity in magic-angle twisted trilayer graphene," Nature, Nature, vol. 590(7845), pages 249-255, February.
    3. Sen Zhou & Ziqiang Wang, 2022. "Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagomé superconductors," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    4. Yuan Cao & Valla Fatemi & Ahmet Demir & Shiang Fang & Spencer L. Tomarken & Jason Y. Luo & Javier D. Sanchez-Yamagishi & Kenji Watanabe & Takashi Taniguchi & Efthimios Kaxiras & Ray C. Ashoori & Pablo, 2018. "Correlated insulator behaviour at half-filling in magic-angle graphene superlattices," Nature, Nature, vol. 556(7699), pages 80-84, April.
    5. Guorui Chen & Aaron L. Sharpe & Patrick Gallagher & Ilan T. Rosen & Eli J. Fox & Lili Jiang & Bosai Lyu & Hongyuan Li & Kenji Watanabe & Takashi Taniguchi & Jeil Jung & Zhiwen Shi & David Goldhaber-Go, 2019. "Signatures of tunable superconductivity in a trilayer graphene moiré superlattice," Nature, Nature, vol. 572(7768), pages 215-219, August.
    6. Emma C. Regan & Danqing Wang & Chenhao Jin & M. Iqbal Bakti Utama & Beini Gao & Xin Wei & Sihan Zhao & Wenyu Zhao & Zuocheng Zhang & Kentaro Yumigeta & Mark Blei & Johan D. Carlström & Kenji Watanabe , 2020. "Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices," Nature, Nature, vol. 579(7799), pages 359-363, March.
    7. Xiaobo Lu & Petr Stepanov & Wei Yang & Ming Xie & Mohammed Ali Aamir & Ipsita Das & Carles Urgell & Kenji Watanabe & Takashi Taniguchi & Guangyu Zhang & Adrian Bachtold & Allan H. MacDonald & Dmitri K, 2019. "Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene," Nature, Nature, vol. 574(7780), pages 653-657, October.
    8. Hui Chen & Haitao Yang & Bin Hu & Zhen Zhao & Jie Yuan & Yuqing Xing & Guojian Qian & Zihao Huang & Geng Li & Yuhan Ye & Sheng Ma & Shunli Ni & Hua Zhang & Qiangwei Yin & Chunsheng Gong & Zhijun Tu & , 2021. "Roton pair density wave in a strong-coupling kagome superconductor," Nature, Nature, vol. 599(7884), pages 222-228, November.
    9. Yonglong Xie & Biao Lian & Berthold Jäck & Xiaomeng Liu & Cheng-Li Chiu & Kenji Watanabe & Takashi Taniguchi & B. Andrei Bernevig & Ali Yazdani, 2019. "Spectroscopic signatures of many-body correlations in magic-angle twisted bilayer graphene," Nature, Nature, vol. 572(7767), pages 101-105, August.
    10. A. Uri & S. Grover & Y. Cao & J. A. Crosse & K. Bagani & D. Rodan-Legrain & Y. Myasoedov & K. Watanabe & T. Taniguchi & P. Moon & M. Koshino & P. Jarillo-Herrero & E. Zeldov, 2020. "Mapping the twist-angle disorder and Landau levels in magic-angle graphene," Nature, Nature, vol. 581(7806), pages 47-52, May.
    11. Yanhao Tang & Lizhong Li & Tingxin Li & Yang Xu & Song Liu & Katayun Barmak & Kenji Watanabe & Takashi Taniguchi & Allan H. MacDonald & Jie Shan & Kin Fai Mak, 2020. "Simulation of Hubbard model physics in WSe2/WS2 moiré superlattices," Nature, Nature, vol. 579(7799), pages 353-358, March.
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