Ralf Bulla, University of Augsburg

Dynamical properties of strongly correlated electrons - a Numerical Renormalization Group Approach

Abstract

The Numerical Renormalization Group method (NRG) has been invented by Wilson for the Kondo model and has been successfully applied to a variety of impurity problems. This method allows for an accurate calculation of both static and dynamic properties, and can be used to investigate the effective impurity models arising in the Dynamical Mean Field Theory. In my talk, I will discuss recent NRG-results for the zero-temperature metal-insulator transition in the Hubbard model. The results are in good quantitative agreement with the Projective Self-Consistent Method and Quantum-Monte Carlo calculations and show an isolation of the quasiparticle peak near the transition which is also seen in the Iterated Perturbation Theory. I will also discuss recent generalizations of the NRG-approach: the metal-insulator transition at finite temperatures and heavy-fermion behaviour in the Periodic Anderson model.