SCALING BEHAVIOR OF THE LOCALIZATION LENGTH IN RANDOM DIMER HARMONIC CHAINS WITH THERMAL CORRELATIONS

Citation
Jc. Cressoni et Ml. Lyra, SCALING BEHAVIOR OF THE LOCALIZATION LENGTH IN RANDOM DIMER HARMONIC CHAINS WITH THERMAL CORRELATIONS, Physical review. B, Condensed matter, 53(9), 1996, pp. 5067-5069
Citations number
15
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
53
Issue
9
Year of publication
1996
Pages
5067 - 5069
Database
ISI
SICI code
0163-1829(1996)53:9<5067:SBOTLL>2.0.ZU;2-C
Abstract
The nature of the vibrational modes of a random dimer harmonic chain w ith thermal correlations is numerically investigated. It is obtained t hat the localization length L(c) does not scale with the annealing tem perature T like the mean cluster size xi(a) (In xi proportional to 1/T ). Instead, it obeys distinct scaling laws, namely L(c)(omega,T)propor tional to T(-vc)L(c)(omega,infinity), with v(c)= 2.7 and v(c) = 3.9 bo th in the bottom and upper halves common band, respectively.