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A note on cluster methods for strongly correlated electron systems

Giulio Biroli, Gabriel Kotliar

cond-mat.str-elarXiv:cond-mat/0107108

Abstract

We develop, clarify and test various aspects of cluster methods dynamical mean field methods using a soluble toy model as a benchmark. We find that the Cellular Dynamical Mean Field Theory (C-DMFT) converges very rapidly and compare its convergence properties with those of the Dynamical Cluster Approximation (DCA). We propose and test improved estimators for the lattice self energy within C-DMFT.

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