Abstract
We study the effects of a BCS-like pairing mechanism on the frustrated J1−J2 model on the square lattice. The model is expressed in a fermionic formulation, in which the fermions that represent the magnetic moments can also participate in the pair formation. A cluster mean-field approach allows to get an effective self-consistent problem in the grand canonical potential at half-filling. The competing antiferromagnetic (AF) interactions lead to a phase diagram with different AF orders separated by a discontinuous phase transition at the highly frustrated regime. As the strength of pairing increases, the criticality of the highly frustrated region is affected, with the arising of a triple point. Beyond a pairing strength threshold, the system exhibits absence of magnetic orders with a high density of double occupied sites near the highly frustrated point. Therefore, the frustration can assist the pairing by weakening the magnetic orders, giving possibility to a nonmagnetic ground-state.
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