2000/06/30 by Mark Jarrell, M. Jarrell, H. R. Krishnamurthy · 5 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Binary number #Cluster (spacecraft) #Coherent potential approximation #Computer science #Condensed matter physics #Diagonal #Electronic structure #Lattice (music) #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Thermodynamic limit #Translational symmetry #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.63.125102
11 pages, LaTeX, and 11 PS figures, to appear in Phys. Rev. B. Revised version with typos corrected and references added
arxiv created 2001/01/11 · openalex publication_date 2001/03/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The dynamical cluster approximation (DCA) is modified to include disorder. The DCA incorporates nonlocal corrections to local approximations such as the coherent potential approximation (CPA) by mapping the lattice problem with disorder, and in the thermodynamic limit, to a self-consistently embedded finite-sized cluster problem. It satisfies all of the characteristics of a successful cluster approximation. It is causal, preserves the point-group and translational symmetry of the original lattice, recovers the CPA when the cluster size equals one, and becomes exact as Nc\ensuremath→\ensuremath∞. We use the DCA to study the Anderson model with binary diagonal disorder. It restores sharp features and band tailing in the density-of-states, which reflect correlations in the local environment of each site. While the DCA does not describe the localization transition, it does describe precursor effects of localization.