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 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Scaling properties of the localization length in one-dimensional paired correlated binary alloys of finite size
AU - Izrailev, Felix M.
AU - Kottos, Tsampikos
AU - Tsironis, G. P.
PY - 1996/4/15
Y1 - 1996/4/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0001208620&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001208620&partnerID=8YFLogxK
U2 - 10.1088/0953-8984/8/16/012
DO - 10.1088/0953-8984/8/16/012
M3 - Article
VL - 8
SP - 2823
EP - 2834
JO - Journal of Physics Condensed Matter
JF - Journal of Physics Condensed Matter
SN - 0953-8984
IS - 16
ER -