Abstract
Recently the nonlocal coherent-potential approximation (NLCPA) has been introduced byJarrell and Krishnamurthy for describing the electronic structure of substitutionallydisordered systems. The NLCPA provides systematic corrections to the widely usedcoherent-potential approximation (CPA) whilst preserving the full symmetry of theunderlying lattice. Here an analytical and systematic numerical study of the NLCPA ispresented for a one-dimensional tight-binding model Hamiltonian, and comparisons withthe embedded cluster method (ECM) and molecular coherent potential approximation(MCPA) are made.
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