IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v14y2023i1d10.1038_s41467-023-42471-4.html
   My bibliography  Save this article

Nodal band-off-diagonal superconductivity in twisted graphene superlattices

Author

Listed:
  • Maine Christos

    (Harvard University)

  • Subir Sachdev

    (Harvard University)

  • Mathias S. Scheurer

    (University of Innsbruck
    University of Stuttgart)

Abstract

The superconducting state and mechanism are among the least understood phenomena in twisted graphene systems. Recent tunneling experiments indicate a transition between nodal and gapped pairing with electron filling, which is not naturally understood within current theory. We demonstrate that the coexistence of superconductivity and flavor polarization leads to pairing channels that are guaranteed by symmetry to be entirely band-off-diagonal, with a variety of consequences: most notably, the pairing invariant under all symmetries can have Bogoliubov Fermi surfaces in the superconducting state with protected nodal lines, or may be fully gapped, depending on parameters, and the band-off-diagonal chiral p-wave state exhibits transitions between gapped and nodal regions upon varying the doping. We demonstrate that band-off-diagonal pairing can be the leading state when only phonons are considered, and is also uniquely favored by fluctuations of a time-reversal-symmetric intervalley coherent order motivated by recent experiments. Consequently, band-off-diagonal superconductivity allows for the reconciliation of several key experimental observations in graphene moiré systems.

Suggested Citation

  • Maine Christos & Subir Sachdev & Mathias S. Scheurer, 2023. "Nodal band-off-diagonal superconductivity in twisted graphene superlattices," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-42471-4
    DOI: 10.1038/s41467-023-42471-4
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-023-42471-4
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-023-42471-4?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. Yuan Cao & Jeong Min Park & Kenji Watanabe & Takashi Taniguchi & Pablo Jarillo-Herrero, 2021. "Pauli-limit violation and re-entrant superconductivity in moiré graphene," Nature, Nature, vol. 595(7868), pages 526-531, July.
    2. 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.
    3. Kevin P. Nuckolls & Myungchul Oh & Dillon Wong & Biao Lian & Kenji Watanabe & Takashi Taniguchi & B. Andrei Bernevig & Ali Yazdani, 2020. "Strongly correlated Chern insulators in magic-angle twisted bilayer graphene," Nature, Nature, vol. 588(7839), pages 610-615, December.
    4. Hyunjin Kim & Youngjoon Choi & Cyprian Lewandowski & Alex Thomson & Yiran Zhang & Robert Polski & Kenji Watanabe & Takashi Taniguchi & Jason Alicea & Stevan Nadj-Perge, 2022. "Evidence for unconventional superconductivity in twisted trilayer graphene," Nature, Nature, vol. 606(7914), pages 494-500, June.
    5. U. Zondiner & A. Rozen & D. Rodan-Legrain & Y. Cao & R. Queiroz & T. Taniguchi & K. Watanabe & Y. Oreg & F. Oppen & Ady Stern & E. Berg & P. Jarillo-Herrero & S. Ilani, 2020. "Cascade of phase transitions and Dirac revivals in magic-angle graphene," Nature, Nature, vol. 582(7811), pages 203-208, June.
    6. 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.
    7. Myungchul Oh & Kevin P. Nuckolls & Dillon Wong & Ryan L. Lee & Xiaomeng Liu & Kenji Watanabe & Takashi Taniguchi & Ali Yazdani, 2021. "Evidence for unconventional superconductivity in twisted bilayer graphene," Nature, Nature, vol. 600(7888), pages 240-245, December.
    8. Dillon Wong & Kevin P. Nuckolls & Myungchul Oh & Biao Lian & Yonglong Xie & Sangjun Jeon & Kenji Watanabe & Takashi Taniguchi & B. Andrei Bernevig & Ali Yazdani, 2020. "Cascade of electronic transitions in magic-angle twisted bilayer graphene," Nature, Nature, vol. 582(7811), pages 198-202, June.
    9. Kevin P. Nuckolls & Ryan L. Lee & Myungchul Oh & Dillon Wong & Tomohiro Soejima & Jung Pyo Hong & Dumitru Călugăru & Jonah Herzog-Arbeitman & B. Andrei Bernevig & Kenji Watanabe & Takashi Taniguchi & , 2023. "Quantum textures of the many-body wavefunctions in magic-angle graphene," Nature, Nature, vol. 620(7974), pages 525-532, August.
    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. 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.
    2. 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.
    3. 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.
    4. Si-yu Li & Zhengwen Wang & Yucheng Xue & Yingbo Wang & Shihao Zhang & Jianpeng Liu & Zheng Zhu & Kenji Watanabe & Takashi Taniguchi & Hong-jun Gao & Yuhang Jiang & Jinhai Mao, 2022. "Imaging topological and correlated insulating states in twisted monolayer-bilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    5. 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.
    6. Shubhayu Chatterjee & Taige Wang & Erez Berg & Michael P. Zaletel, 2022. "Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    7. 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.
    8. Saisab Bhowmik & Bhaskar Ghawri & Youngju Park & Dongkyu Lee & Suvronil Datta & Radhika Soni & K. Watanabe & T. Taniguchi & Arindam Ghosh & Jeil Jung & U. Chandni, 2023. "Spin-orbit coupling-enhanced valley ordering of malleable bands in twisted bilayer graphene on WSe2," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    9. Canxun Zhang & Tiancong Zhu & Tomohiro Soejima & Salman Kahn & Kenji Watanabe & Takashi Taniguchi & Alex Zettl & Feng Wang & Michael P. Zaletel & Michael F. Crommie, 2023. "Local spectroscopy of a gate-switchable moiré quantum anomalous Hall insulator," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    10. 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.
    11. Pratap Chandra Adak & Subhajit Sinha & Debasmita Giri & Dibya Kanti Mukherjee & Chandan & L. D. Varma Sangani & Surat Layek & Ayshi Mukherjee & Kenji Watanabe & Takashi Taniguchi & H. A. Fertig & Arij, 2022. "Perpendicular electric field drives Chern transitions and layer polarization changes in Hofstadter bands," Nature Communications, Nature, vol. 13(1), pages 1-8, December.
    12. Jiachen Yu & Benjamin A. Foutty & Yves H. Kwan & Mark E. Barber & Kenji Watanabe & Takashi Taniguchi & Zhi-Xun Shen & Siddharth A. Parameswaran & Benjamin E. Feldman, 2023. "Spin skyrmion gaps as signatures of strong-coupling insulators in magic-angle twisted bilayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    13. Weilun Jiang & Yuzhi Liu & Avraham Klein & Yuxuan Wang & Kai Sun & Andrey V. Chubukov & Zi Yang Meng, 2022. "Monte Carlo study of the pseudogap and superconductivity emerging from quantum magnetic fluctuations," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    14. Max Heyl & Kyosuke Adachi & Yuki M. Itahashi & Yuji Nakagawa & Yuichi Kasahara & Emil J. W. List-Kratochvil & Yusuke Kato & Yoshihiro Iwasa, 2022. "Vortex dynamics in the two-dimensional BCS-BEC crossover," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    15. Yifan Xie & Shuo Feng & Linxiao Deng & Aoran Cai & Liyu Gan & Zifan Jiang & Peng Yang & Guilin Ye & Zaiqing Liu & Li Wen & Qing Zhu & Wanjun Zhang & Zhanpeng Zhang & Jiahe Li & Zeyu Feng & Chutian Zha, 2023. "Inverse design of chiral functional films by a robotic AI-guided system," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    16. Yifei Guan & Clement Dutreix & Héctor González-Herrero & Miguel M. Ugeda & Ivan Brihuega & Mikhail I. Katsnelson & Oleg V. Yazyev & Vincent T. Renard, 2024. "Observation of Kekulé vortices around hydrogen adatoms in graphene," Nature Communications, Nature, vol. 15(1), pages 1-6, December.
    17. 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.
    18. Daniel Kaplan & Tobias Holder & Binghai Yan, 2023. "General nonlinear Hall current in magnetic insulators beyond the quantum anomalous Hall effect," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    19. Alexander Jarjour & G. M. Ferguson & Brian T. Schaefer & Menyoung Lee & Yen Lee Loh & Nandini Trivedi & Katja C. Nowack, 2023. "Superfluid response of an atomically thin gate-tuned van der Waals superconductor," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    20. Hao Chen & Arpit Arora & Justin C. W. Song & Kian Ping Loh, 2023. "Gate-tunable anomalous Hall effect in Bernal tetralayer graphene," Nature Communications, Nature, vol. 14(1), pages 1-6, 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_s41467-023-42471-4. 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.