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Unconventional superconducting order parameters without nodes: The density of states and impurity scattering

Gianfranco Preosti, Heesang Kim, Paul Muzikar

DOI 10.1103/PhysRevB.50.13638 · Physical Review B

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Abstract

We compute the density of states Ns(E) for a superconductor having an order parameter Δ(k^) with the following two properties: (i) ‖Δ(k^)‖ is a constant, independent of k; (ii) the average of Δ(k^) over the Fermi surface vanishes: 〈Δ(k^)〉=0. We particularly stress the effect of impurity scattering. We can do the calculation for an arbitrary Fermi surface, and any order parameter with the above two properties. Since our family of order parameters has no nodes, our results pinpoint the effects due to the vanishing Fermi surface average, 〈Δ(k^)〉=0.

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