Electron States in a Class of One-Dimensional Random Binary Alloys

We present a model for alloys of compound semiconductors by introducing a one-dimensional binary random system where impurities are placed in one sublattice while host atoms lie on the other sublattice. The source of disorder is the stochastic fluctuation of the impurity energy from site to site. Although the system is one-dimensional and random, we demonstrate analytically and numerically the existence of a set of extended states in finite systems, whose energy lies close to that of host atoms.