Evolution of Superconductivity in Twisted Graphene Multilayers

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The results presented in this work, together with previous research of our same group, put forward the KL-RPA mechanism as a realistic theory of superconductivity in multilayers of graphene. 
Connected to paperThis paper is a preprint and has not been certified by peer review

Evolution of Superconductivity in Twisted Graphene Multilayers


Min Long, Alejandro Jimeno-Pozo, Hector Sainz-Cruz, Pierre A. Pantaleon, Francisco Guinea


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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