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Analytical expression for the RKKY interaction in doped graphene

Analytical expression for the RKKY interaction in doped graphene

We obtain an analytical expression for the Ruderman-Kittel-Kasuya-Yosida interaction $J$ in elctron- or hole-doped graphene for linear Dirac bands. The results agree very well with the numerical calculations for the full tight-binding band structure in the regime where the linear band structure is valid. The analytical result, expressed in terms …