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We studied the pairing instabilities in KₓFe₂-ₘSe₂ using a two stage functional renormalization group (FRG) method. Our results suggest the leading and subleading pairing symmetries are nodeless dₗℂ-ₘℂ and nodal extended s respectively. In addition, despite having no Fermi surfaces we find the buried hole bands make important contributions to the final effective interaction. From the bandstructure, spin susceptibility and the FRG results we conclude that the low energy effective interaction in KₓFe₂-ₘSe₂ is well described by a J₁-J₂ model with dominant nearest-neighbor antiferromagnetic interaction J₁ (at least as far as the superconducting pairing is concerned). In the end we briefly mention several obvious experiments to test whether the pairing symmetry is indeed dₗℂ-ₘℂ.
Wang et al. (Thu,) studied this question.
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