Dynamical mean-field theory for correlated electrons


  • The author was awarded the Max Planck Medal, the highest distinction of the German Physical Society for Theoretical Physics, in 2010.


Electronic correlations strongly influence the properties of matter. For example, they can induce a discontinuous transition from conducting to insulating behavior. In this paper basic terms of the physics of correlated electrons are explained. In particular, I describe some of the steps that led to the formulation of a comprehensive, non-perturbative many-body approach to correlated quantum many-body systems, the dynamical mean-field theory (DMFT). The DMFT becomes exact in the limit of high lattice dimensions (d → ∞) and allows one to go beyond the investigation of simple correlation models and thereby better understand, and even predict, the properties of electronically correlated materials.