Scaling properties of the localization length in one-dimensional paired correlated binary alloys of finite size

Felix M. Izrailev, Tsampikos Kottos, G. P. Tsironis

Research output: Contribution to journalArticle

17 Citations (Scopus)

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 languageEnglish
Pages (from-to)2823-2834
Number of pages12
JournalJournal of Physics Condensed Matter
Volume8
Issue number16
DOIs
Publication statusPublished - Apr 15 1996
Externally publishedYes

Fingerprint

Binary alloys
binary alloys
scaling
Hamiltonians
Transfer matrix method
Scaling laws
matrix methods
Dimers
scaling laws
eigenvectors
dimers
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Scaling properties of the localization length in one-dimensional paired correlated binary alloys of finite size. / Izrailev, Felix M.; Kottos, Tsampikos; Tsironis, G. P.

In: Journal of Physics Condensed Matter, Vol. 8, No. 16, 15.04.1996, p. 2823-2834.

Research output: Contribution to journalArticle

Izrailev, Felix M. ; Kottos, Tsampikos ; Tsironis, G. P. / Scaling properties of the localization length in one-dimensional paired correlated binary alloys of finite size. In: Journal of Physics Condensed Matter. 1996 ; Vol. 8, No. 16. pp. 2823-2834.
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