Strength of effective Coulomb interactions in graphene and graphite

Abstract

To obtain an effective many-body model of graphene and related materials from first principles we calculate the partially screened frequency dependent Coulomb interaction. In graphene, the effective on-site (Hubbard) interaction is U00 = 9.3 eV in close vicinity to the critical value separating conducting graphene from an insulating phase emphasizing the importance of non-local Coulomb terms. The nearest-neighbor Coulomb interaction strength is computed to U01 = 5.5 eV. In the long wavelength limit, we find the effective background dielectric constant of graphite to be ε = 2.5 in very good agreement with experiment.

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