Evolution of Superconductivity in Twisted Graphene Multilayers

Abstract

The group of moiré graphene superconductors keeps growing, and by now it contains twisted graphene multilayers and twisted double bilayers. We analyze the contribution of long range charge fluctuations in the superconductivity of twisted double graphene bilayers and helical trilayers, and compare the results to twisted bilayer graphene. We apply a diagrammatic approach which depends on a few, well known parameters. We find that the critical temperature and the order parameter differ significantly between twisted double bilayers and helical trilayers on one hand, and twisted bilayer graphene on the other. We show that this trend, consistent with experiments, can be associated to the role played by moiré Umklapp processes in the different systems.

arXiv comment6 pages, 3 figures, 1 table and supplementary information. Updated version. Comments are very welcome

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Cited by in corpus (12)

• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
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• Scaling of the Integrated Quantum Metric in Disordered Topological Phases
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene
• Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
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• Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene