Cluster Dynamical Mean Field Theory

Abstract

Cluster dynamical mean-field theory is an extension of dynamical mean-field theory (DMFT) where the single-site impurity is replaced with a cluster of sites with open boundary conditions. Compared with single-site DMFT, this takes into account short-range correlations exactly and can probe the presence of broken-symmetry phases such as d-wave superconductivity and antiferromagnetism. This chapter reviews the basic CDMFT procedure, as well as issues related to the use of an exact diagonalization solver for the impurity problem. The QMC solvers are also briefly reviewed, as well as results on the Mott transition and on models for the cuprates.