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Journal of the Korean Physical Society 53, 3619-3624 (2008)


Quantum Periodic Cluster Methods for Strongly-Correlated Electron Systems

Minh-Tien Tran

Quantum periodic cluster methods for strongly-correlated electron systems are reformulated and developed. The real lattice is divided into a superlattice of clusters. The reformulation and development are based on a canonical transformation, which periodizes the fermions in the cluster space. The dynamical cluster approximation and the cellular dynamical mean field theory are related to each other through the canonical transformation. A cluster perturbation theory with periodic boundary conditions is developed. The periodic cluster perturbation theory is found to converge rapidly with corrections O(1/L2c ), where Lc is the linear size of the clusters, whereas the ordinary cluster perturbation theory converges with corrections O(1/Lc).