Off-diagonal disorder in the Anderson model of localization

Citation
P. Biswas et al., Off-diagonal disorder in the Anderson model of localization, PHYS ST S-B, 218(1), 2000, pp. 205-209
Citations number
22
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICA STATUS SOLIDI B-BASIC RESEARCH
ISSN journal
03701972 → ACNP
Volume
218
Issue
1
Year of publication
2000
Pages
205 - 209
Database
ISI
SICI code
0370-1972(200003)218:1<205:ODITAM>2.0.ZU;2-O
Abstract
We examine the localization properties of the Anderson Hamiltonian with add itional off-diagonal disorder using the transfer-matrix method and finite-s ize scaling. We compute the localization lengths and study the metal-insula tor transition (MIT) as a function of diagonal disorder, as well as its ene rgy dependence. Furthermore we investigate the different influence of odd a nd even system sizes on the localization properties in quasi one-dimensiona l systems. Applying the finite-size scaling approach in conjunction with a nonlinear fitting procedure yields the critical parameters of the MIT. In t hree dimensions, we find that the resulting critical exponent of the locali zation length agrees with the exponent for the Anderson model with pure dia gonal disorder.