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We study the phonon-mediated superconductivity in light doped ABA-stacked trilayergraphene system by means of two theoreticalmodels. We find superconducting transition temperature T C can be greatly enlarged by tuning the Fermi energy away from neutral point. Utilizing realistic parameters, we find T c is approximately 1 K even under weak doping condition E F = 0.1 eV. Specifically, we give out the analytical expression for superconductivity gap △ and superconducting transition temperature T c for negative-U Hubbard model. Further, we consider the thermal fluctuation and calculate the Berezinskii-Kosterlitz-Thouless critical temperature T BKT . Besides, we consider a two-band BCSmodel in comparision with the negative-U Hubbard model. The results for both models are qualitatively consistent. Our study provides a promising possibility for realizing intrinsic superconductivity in multilayergraphene systems.


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