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We present a method to compute the density of states induced by N nonmagnetic impurities in a d-wave superconductor, in the unitary limit of verystrong scatering centers. For frequencies very small as compared to thesuperconducting gap ($\omega \ll \Delta_0$) the additional density of stateshas the leading divergence ${\displaystyle \delta \rho (\omega) \simeq n_i / [| 2 \omega | (\ln^2 |\omega/\Delta_0| + (\pi/2)^2)]}$. This result is nonperturbative.Comment: 30 pages, 8 figure

Density of states of ad-wave superconductor in the presence of strong impurity scatterers: A nonperturbative result