Electron Localization and Atomic Correlation in One-Dimensional Disordered Systems

The author reports fairly extensive new investigations of the electronic structure of one-dimensional disordered systems. A formalism is developed in the tight-binding approximation that includes nearest-neighbor correlation. This formalism is used to calculate density of states and two kinds of localization lengths for several model systems. In the uncorrelated binary alloy good agreement is found with Monte Carlo calculations performed recently by Bush. The results in the study of the disorder-induced metal-nonmetal transition confirm the model of Cohen and Sak.