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Kekulé superconductivity and antiferromagnetism on the graphene lattice

J. P. L. Faye, M. N. Diarra, D. Sénéchal

DOI 10.1103/PhysRevB.93.155149 · Physical Review B

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Abstract

We investigate superconducting order in the extended Hubbard model on the two-dimensional graphene lattice using the variational cluster approximation with an exact diagonalization solver at zero temperature. Building on the results of Faye et al. [Phys. Rev. B 92, 085121 (2015)], which identified triplet p- and (p+ip)-wave superconductivity as the most favored pairing symmetries in that model, we place uniform superconducting solutions in competition with a nonuniform Kekulé (p+ip-K) superconducting pattern, similar to those proposed by Roy and Herbut [Phys. Rev. B 82, 035429 (2010)]. We find that the p+ip-K solution is in fact the most favored pairing in most of the phase diagrams. In addition, we show that antiferromagnetism can coexist with the p+ip-K state and that both orders are enhanced by their coexistence.

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