Exact Density of States in a System of Disordered Two Dimensional Dirac Fermions in the Unitarity Limit: The d-wave Superconductor

Abstract

In this paper we present a method to compute the exact density of states induced by $N$ non magnetic impurities in a system of two dimensional Dirac fermions in the unitarity limit. We review the case of the $\ddot{I}€$-flux phase of the Heisenberg model and also treat the disordered d-wave superconductor. In both case we find additional states in the gap with $\hat{I}´\ddot{I}(\ddot{I}‰)\simeq n_i/|\ddot{I}‰({\ln }^2|\ddot{I}‰/\hat{I}{”}_0|+(\ddot{I}€/2{)}^2)|$.

4 pages, no figure