Physics – Condensed Matter – Superconductivity
Scientific paper
2009-12-18
Physica Status Solidi B 247, 602-604 (2010)
Physics
Condensed Matter
Superconductivity
3 pages, 2 figures, presented at the International Conference on Quantum Criticality and Novel Phases (QCNP09, Dresden)
Scientific paper
10.1002/pssb.200983023
We consider the superconducting state of $d+s$ symmetry with finite concentration of Anderson impurities in the limit $\Delta_s/\Delta_d \ll 1$. 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 $\Delta_s/\Delta_d$ 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 $N(0) \simeq (\Delta_s/\Delta_d)^2$. This transition is discontinuous if the energy of the impurity resonance is the smallest energy scale in the problem.
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