Progress of Theoretical Physics · 1966 · 132 citations · 0 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsMaterials PhysicsSolid State PhysicsAb Initio MethodsElectron CorrelationElectronic Band StructureElectronic Structure Of SolidsLattice SymmetryStatistical MechanicsElectronic Density Of StatesExchange-correlation FunctionalsPeriodic Electronic Structure
A systematic study of the electronic state of a random lattice is made in this series of papers by making use of a Green's function method. As the first step, an exact method of averaging over a random distribution of impurities is given. With this strict averaging procedure, the one electron Green's function is determined in a self-consistent field approximation for a binary alloy. It is shown that the obtained Green's function has a dual symmetry which should be conserved in the exact Green's function.