Partial cancellation in the electron-hole and electron-electron correlation in the symmetric anderson model

Abstract

We show that there is a symmetry transformation in the symmetric Anderson model which consist of an electron-hole transformation applied only for one spin-direction and the change of sign of the Coulomb energy U. By using this symmetry it is possible to prove that both the electron-electron and electron-hole correlation are of importance and several quantities must be even function in U in the localized spin fluctuation theory.