Generic susceptibilities of the half-filled Hubbard model in infinite dimensions

Abstract

(Dated: April 3, 2009)Around a metal-to-insulator transition driven by repulsive interaction (Mott transition) the singleparticle excitations and the collective excitations are equally important. Here we present results forthe generic susceptibilities at zero temperature in the half-filled Hubbard model in infinite dimen-sions. Profiting from the high resolution of dynamic density-matrix renormalization at all energies,results for the charge, spin and Cooper-pair susceptibilities in the metallic and the insulating phaseare computed. In the insulating phase, an almost saturated local magnetic moment appears. In themetallic phase a pronounced low-energy peak is found in the spin response. It is the precursor ofthe magnetic moment in the insulator.