Density of States of a d-wave Superconductor in the Presence of Strong Impurity Scatterers: a Non Perturbative Result

Abstract

We present a method to compute the density of states induced by N non magnetic impurities in a d-wave superconductor, in the unitary limit of very strong scatering centers. For frequencies very small as compared to the superconducting gap (ω 0) the additional density of states has the leading divergence δ (ω) ni / [ | 2 ω | (2 |ω/0| + (π/2)2)]. This result is non perturbative.

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