  We study scaling properties of the localized eigenstates of the random dimer
model in which pairs of local site energies are assigned at random in a one
dimensional disordered tight-binding model. We use both the transfer matrix
method and the direct diagonalization of the Hamiltonian in order to find how
the localization length of a finite sample scales to the localization length of
the infinite system. We derive the scaling law for the localization length and
show it to be related to scaling behavior typical of uncorrelated Band Random
Matrix, Anderson and Lloyd models.
