Magnetic impurity transition in a 'd+s'-wave superconductor

We consider the superconducting state of $d+s$ symmetry with finite concentration of Anderson impurities in the limit $Δ_s/Δ_d \ll 1$. The model consists of a BCS-like term in the Hamiltonian and the Anderson impurity treated in the self-consistent large-$N$ mean field approximation. Increasing impurity concentration or lowering the ratio $Δ_s/Δ_d$ drives the system through a transition from a state with two sharp peaks at low energies and exponentially small density of states at the Fermi level to one with $N(0) \simeq (Δ_s/Δ_d)^2$. This transition is discontinuous if the energy of the impurity resonance is the smallest energy scale in the problem.

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