Comment on "Cluster methods for strongly correlated electron systems"

We comment on the article by Biroli and Kotliar [Phys. Rev. B 65, 155112 (2002)] in which they make a comparison between two cluster techniques, the cellular dynamical mean field theory (CDMFT) and the dynamical cluster approximation (DCA). Based upon an incorrect implementation of the DCA technique in their work, they conclude that the CDMFT is a faster converging technique than the DCA. We present the correct DCA prescription for the particular model Hamiltonian studied in their article and conclude that the DCA, once implemented correctly, is a faster converging technique for the quantities averaged over the cluster.