Spin-density-wave instability in graphene doped near the van Hove singularity

Abstract

We study the instability of the metallic state towards the formation of a new ground state in graphene doped near the van Hove singularity. The system is described by the Hubbard model and a field theoretical approach is used to calculate the charge and spin susceptibility. We find that for repulsive interactions, within the random phase approximation, there is a competition between ferromagnetism and spin-density wave (SDW). It turns out that a SDW with a triangular geometry is more favorable when the Hubbard parameter is above the critical value U_c(T), which depends on the temperature T, even if there are small variations in the doping. Our results can be verified by ARPES or neutron scattering experiments in highly doped graphene.

5 pages, 5 figures, 1 table

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• The electronic properties of graphene
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• Strength of effective Coulomb interactions in graphene and graphite
• Effect of electron-electron interaction on the Fermi surface topology of doped graphene
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• Analytical expressions for the polarizability of the honeycomb lattice

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