Abstract
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 with the localization length of the infinite system. We derive the scaling law for the localization length and show it to be related to scaling behaviour typical of uncorrelated band random matrix, Anderson and Lloyd models.
| Original language | English |
|---|---|
| Pages (from-to) | 2823-2834 |
| Number of pages | 12 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 8 |
| Issue number | 16 |
| DOIs | |
| Publication status | Published - Apr 15 1996 |
ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
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Izrailev, F. M., Kottos, T., & Tsironis, G. P. (1996). Scaling properties of the localization length in one-dimensional paired correlated binary alloys of finite size. Journal of Physics Condensed Matter, 8(16), 2823-2834. https://doi.org/10.1088/0953-8984/8/16/012