Effects of density and compositional fluctuations on the electron density of states of one-dimensional systems

The electron density of states of a system composed of two types of repulsive, $\delta$-function scatterers which are positioned on a line under the influence of hard-sphere pair correlations is calculated via a variational technique. Numerical results are obtained in order to examine the trends as a function of scattering strengths, density, composition of the scattering system, and packing fractions. This work constitutes an extension of previously published calculations on systems with a single scattering type whose positions are uncorrelated. Emphasis is given to the effects of the mean field and modifications by density and compositional fluctuations.