IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v14y2023i1d10.1038_s41467-023-43782-2.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-023-43782-2
    File Function: Abstract
    Download Restriction: no

    File URL: https://libkey.io/10.1038/s41467-023-43782-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. J. González & T. Stauber, 2023. "Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    2. Anushree Datta & M. J. Calderón & A. Camjayi & E. Bascones, 2023. "Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    3. Junxiong Hu & Junyou Tan & Mohammed M. Al Ezzi & Udvas Chattopadhyay & Jian Gou & Yuntian Zheng & Zihao Wang & Jiayu Chen & Reshmi Thottathil & Jiangbo Luo & Kenji Watanabe & Takashi Taniguchi & Andre, 2023. "Controlled alignment of supermoiré lattice in double-aligned graphene heterostructures," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    4. Trithep Devakul & Valentin Crépel & Yang Zhang & Liang Fu, 2021. "Magic in twisted transition metal dichalcogenide bilayers," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    5. Shuichi Iwakiri & Alexandra Mestre-Torà & Elías Portolés & Marieke Visscher & Marta Perego & Giulia Zheng & Takashi Taniguchi & Kenji Watanabe & Manfred Sigrist & Thomas Ihn & Klaus Ensslin, 2024. "Tunable quantum interferometer for correlated moiré electrons," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    6. Wenqiang Zhou & Jing Ding & Jiannan Hua & Le Zhang & Kenji Watanabe & Takashi Taniguchi & Wei Zhu & Shuigang Xu, 2024. "Layer-polarized ferromagnetism in rhombohedral multilayer graphene," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    7. Le Liu & Shihao Zhang & Yanbang Chu & Cheng Shen & Yuan Huang & Yalong Yuan & Jinpeng Tian & Jian Tang & Yiru Ji & Rong Yang & Kenji Watanabe & Takashi Taniguchi & Dongxia Shi & Jianpeng Liu & Wei Yan, 2022. "Isospin competitions and valley polarized correlated insulators in twisted double bilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    8. Dorri Halbertal & Simon Turkel & Christopher J. Ciccarino & Jonas B. Profe & Nathan Finney & Valerie Hsieh & Kenji Watanabe & Takashi Taniguchi & James Hone & Cory Dean & Prineha Narang & Abhay N. Pas, 2022. "Unconventional non-local relaxation dynamics in a twisted trilayer graphene moiré superlattice," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    9. Zhen Lian & Dongxue Chen & Lei Ma & Yuze Meng & Ying Su & Li Yan & Xiong Huang & Qiran Wu & Xinyue Chen & Mark Blei & Takashi Taniguchi & Kenji Watanabe & Sefaattin Tongay & Chuanwei Zhang & Yong-Tao , 2023. "Quadrupolar excitons and hybridized interlayer Mott insulator in a trilayer moiré superlattice," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    10. Jinjae Kim & Jiwon Park & Hyojin Choi & Taeho Kim & Soonyoung Cha & Yewon Lee & Kenji Watanabe & Takashi Taniguchi & Jonghwan Kim & Moon-Ho Jo & Hyunyong Choi, 2024. "Correlation-driven nonequilibrium exciton site transition in a WSe2/WS2 moiré supercell," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    11. Manabendra Kuiri & Christopher Coleman & Zhenxiang Gao & Aswin Vishnuradhan & Kenji Watanabe & Takashi Taniguchi & Jihang Zhu & Allan H. MacDonald & Joshua Folk, 2022. "Spontaneous time-reversal symmetry breaking in twisted double bilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    12. Yuting Tan & Pak Ki Henry Tsang & Vladimir Dobrosavljević, 2022. "Disorder-dominated quantum criticality in moiré bilayers," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    13. Martin Claassen & Lede Xian & Dante M. Kennes & Angel Rubio, 2022. "Ultra-strong spin–orbit coupling and topological moiré engineering in twisted ZrS2 bilayers," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    14. Abhishek Nag & Yiran Peng & Jiemin Li & S. Agrestini & H. C. Robarts & Mirian García-Fernández & A. C. Walters & Qi Wang & Qiangwei Yin & Hechang Lei & Zhiping Yin & Ke-Jin Zhou, 2022. "Correlation driven near-flat band Stoner excitations in a Kagome magnet," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    15. Giacomo Mazza & Marco Gandolfi & Massimo Capone & Francesco Banfi & Claudio Giannetti, 2021. "Thermal dynamics and electronic temperature waves in layered correlated materials," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    16. Meng Zhao & Zhongjie Wang & Lu Liu & Chunzheng Wang & Cheng-Yen Liu & Fang Yang & Hua Wu & Chunlei Gao, 2024. "Atomic-scale visualization of the interlayer Rydberg exciton complex in moiré heterostructures," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
    17. Yanhao Tang & Jie Gu & Song Liu & Kenji Watanabe & Takashi Taniguchi & James C. Hone & Kin Fai Mak & Jie Shan, 2022. "Dielectric catastrophe at the Wigner-Mott transition in a moiré superlattice," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    18. Hongbing Cai & Abdullah Rasmita & Qinghai Tan & Jia-Min Lai & Ruihua He & Xiangbin Cai & Yan Zhao & Disheng Chen & Naizhou Wang & Zhao Mu & Zumeng Huang & Zhaowei Zhang & John J. H. Eng & Yuanda Liu &, 2023. "Interlayer donor-acceptor pair excitons in MoSe2/WSe2 moiré heterobilayer," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    19. J. Díez-Mérida & A. Díez-Carlón & S. Y. Yang & Y.-M. Xie & X.-J. Gao & J. Senior & K. Watanabe & T. Taniguchi & X. Lu & A. P. Higginbotham & K. T. Law & Dmitri K. Efetov, 2023. "Symmetry-broken Josephson junctions and superconducting diodes in magic-angle twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    20. Alejandro Ruiz & Brandon Gunn & Yi Lu & Kalyan Sasmal & Camilla M. Moir & Rourav Basak & Hai Huang & Jun-Sik Lee & Fanny Rodolakis & Timothy J. Boyle & Morgan Walker & Yu He & Santiago Blanco-Canosa &, 2022. "Stabilization of three-dimensional charge order through interplanar orbital hybridization in PrxY1−xBa2Cu3O6+δ," Nature Communications, Nature, vol. 13(1), pages 1-7, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-43782-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.