Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors

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作者
Benjamin T. Zhou
Shannon Egan
Dhruv Kush
Marcel Franz
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[1] University of British Columbia,Department of Physics and Astronomy & Stewart Blusson Quantum Matter Institute
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Recent studies point to an exotic spin-triplet valley-singlet (STVS) superconducting phase in certain two-valley electron liquids, including rhombohedral trilayer graphene, Bernal bilayer graphene and ZrNCl, which nevertheless admits only trivial topology. Here, we predict that upon twisting two layers of STVS superconductors, a chiral f±if′\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\pm {{{{{{{\rm{i}}}}}}}}{f}^{{\prime} }$$\end{document}-wave superconducting phase emerges near the ‘maximal’ twist angle of 30∘ where the system becomes an extrinsic quasi-crystal with 12-fold tiling. The resulting composite hosts an odd number of chiral Majorana edge modes and a single non-Abelian Majorana zero mode (MZM) in the vortex core. Through detailed symmetry analysis and microscopic modelling, we demonstrate that the non-Abelian topological superconductivity (TSC) forms robustly near the maximal twist when the isolated Fermi pockets coalesce into a single connected Fermi surface in the moiré Brillouin zone. Our results establish the large-twist-angle engineering, with distinct underlying moiré physics from magic-angle graphene, as a viable route toward non-Abelian TSC.
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  • [1] Non-Abelian topological superconductivity in maximally twisted double-layer spin-triplet valley-singlet superconductors
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    Egan, Shannon
    Kush, Dhruv
    Franz, Marcel
    [J]. COMMUNICATIONS PHYSICS, 2023, 6 (01)
  • [2] Non-Abelian topological orders and Majorana fermions in spin-singlet superconductors
    Sato, Masatoshi
    Takahashi, Yoshiro
    Fujimoto, Satoshi
    [J]. PHYSICAL REVIEW B, 2010, 82 (13)
  • [3] Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
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    Eslam Khalaf
    Shang Liu
    Xiaomeng Liu
    Zeyu Hao
    Philip Kim
    Ashvin Vishwanath
    [J]. Nature Communications, 10
  • [4] Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
    Lee, Jong Yeon
    Khalaf, Eslam
    Liu, Shang
    Liu, Xiaomeng
    Hao, Zeyu
    Kim, Philip
    Vishwanath, Ashvin
    [J]. NATURE COMMUNICATIONS, 2019, 10 (1)
  • [5] High-temperature topological superconductivity in twisted double-layer copper oxides
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    Tarun Tummuru
    Ryan P. Day
    Ilya Elfimov
    Andrea Damascelli
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    [J]. Nature Physics, 2021, 17 : 519 - 524
  • [6] High-temperature topological superconductivity in twisted double-layer copper oxides
    Can, Oguzhan
    Tummuru, Tarun
    Day, Ryan P.
    Elfimov, Ilya
    Damascelli, Andrea
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    [J]. NATURE PHYSICS, 2021, 17 (04) : 519 - +
  • [7] Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system
    Zhu, W.
    Gong, S. S.
    Sheng, D. N.
    Sheng, L.
    [J]. PHYSICAL REVIEW B, 2015, 91 (24)