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Evolution of Superconductivity in Twisted Graphene Multilayers
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The group of moir\'e 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 moir\'e Umklapp processes in the different systems.
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Cited by 2 Pith papers
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Double-edged Role of Interactions in Superconducting Twisted Bilayer Graphene
In twisted bilayer graphene, increasing the dielectric screening of the substrate shrinks the superconducting dome at the magic angle, while it allows superconductivity to appear at a larger twist angle where correlat...
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Fractional Chern mosaic in supermoir\'e graphene
Helical trilayer graphene with momentum-dependent tunneling is predicted to host a fractional Chern mosaic at filling 3+1/3: local fractional Chern insulators whose fractionalization pattern varies on the supermoiré scale.
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