PLANAR ROTATOR SYSTEM IN 2 DIMENSIONS WITH LONG-RANGE INTERACTIONS

Citation
Me. Gouvea et Ast. Pires, PLANAR ROTATOR SYSTEM IN 2 DIMENSIONS WITH LONG-RANGE INTERACTIONS, Journal of magnetism and magnetic materials, 162(2-3), 1996, pp. 225-229
Citations number
16
Categorie Soggetti
Material Science","Physics, Condensed Matter
ISSN journal
03048853
Volume
162
Issue
2-3
Year of publication
1996
Pages
225 - 229
Database
ISI
SICI code
0304-8853(1996)162:2-3<225:PRSI2D>2.0.ZU;2-0
Abstract
We study the two-dimensional (2D) planar rotator model with ferromagne tic long-range interactions decaying as r(-p) using the self-consisten t harmonic approximation. We show that the overall behavior of the mod el approaches the one expected for nearest-neighbor model as p --> inf inity. The results obtained for the transition temperature are in agre ement with Monte Carlo results reported in the literature. We check so me asymptotic expressions currently used in the literature and propose a different expression for the case p = 4.