Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size

Details Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size Scaling Properties of Localization Length in 1D Paired Correlated Binary Alloys of Finite Size

1996-07-08

arxiv.org/abs/cond-mat/9607055v1

J.Phys.: Condens. Matter, 8 (1996) 2823.

Physics

Condensed Matter

17 pages in Latex and 7 Postscript figures

Scientific paper

10.1088/0953-8984/8/16/012

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.

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