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Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene

Author

Listed:
  • Jong Yeon Lee

    (Harvard University)

  • Eslam Khalaf

    (Harvard University)

  • Shang Liu

    (Harvard University)

  • Xiaomeng Liu

    (Harvard University)

  • Zeyu Hao

    (Harvard University)

  • Philip Kim

    (Harvard University)

  • Ashvin Vishwanath

    (Harvard University)

Abstract

Two graphene monolayers twisted by a small magic angle exhibit nearly flat bands, leading to correlated electronic states. Here we study a related but different system with reduced symmetry - twisted double bilayer graphene (TDBG), consisting of two Bernal stacked bilayer graphenes, twisted with respect to one another. Unlike the monolayer case, we show that isolated flat bands only appear on application of a vertical displacement field. We construct a phase diagram as a function of twist angle and displacement field, incorporating interactions via a Hartree-Fock approximation. At half-filling, ferromagnetic insulators are stabilized with valley Chern number $${C}_{{\rm{v}}}=\pm 2$$Cv=±2. Upon doping, ferromagnetic fluctuations are argued to lead to spin-triplet superconductivity from pairing between opposite valleys. We highlight a novel orbital effect arising from in-plane fields plays an important role in interpreting experiments. Combined with recent experimental findings, our results establish TDBG as a tunable platform to realize rare phases in conventional solids.

Suggested Citation

  • Jong Yeon Lee & Eslam Khalaf & Shang Liu & Xiaomeng Liu & Zeyu Hao & Philip Kim & Ashvin Vishwanath, 2019. "Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene," Nature Communications, Nature, vol. 10(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:10:y:2019:i:1:d:10.1038_s41467-019-12981-1
    DOI: 10.1038/s41467-019-12981-1
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

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