Electron scattering at one-dimensional chain with composition disorder

Abstract

A new method is proposed for determining average kinetic parameters of one-dimensional disordered systems. Electron scattering at a one-dimensional chain with structural and composition disorders is considered. The solution of a finite-difference equation derived for the average resistance shows that the dependence of the average resistance on the number of scatterers (sample length) for all states of the one-electron spectrum is a sum of three exponential functions irrespective of the type of random field in the system. It is proved that, in the case of a mixed disorder, all one-electron states are localized in a chain of δ potentials.