Compressibility of electron gas in presence of Anderson's impurity
  We employ Wiegmann's solution of the Anderson impurity model in order to compute the compressibility of electron gas. We have found that there is a pair of neighbor levels separated by anomalously large energy $\propto L^{-1/3}$, where $L$ is the size of the system. The Fermi energy crosses this pseudogap and the compressibility decreases near the so-called ``symmetric'' limit. 
Daniel L. Miller