CRITICAL EXPONENTS OF THE DILUTED ISING-MODEL BETWEEN DIMENSIONS 2 AND 4

Citation
Y. Holovatch et T. Yavorskii, CRITICAL EXPONENTS OF THE DILUTED ISING-MODEL BETWEEN DIMENSIONS 2 AND 4, Journal of statistical physics, 92(5-6), 1998, pp. 785-808
Citations number
83
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
00224715
Volume
92
Issue
5-6
Year of publication
1998
Pages
785 - 808
Database
ISI
SICI code
0022-4715(1998)92:5-6<785:CEOTDI>2.0.ZU;2-Y
Abstract
Within the massive field-theoretic renormalization-group approach the expressions for the beta and gamma functions of the anisotropic nut-ve ctor model are obtained for general space dimension d in three-loop ap proximation. Resumming corresponding asymptotic series, critical expon ents for the case of the weakly diluted quenched Ising model (m = 1, n = 0), as well as estimates for the marginal order parameter component number m, of the weakly diluted quenched m-vector model, are calculat ed as functions of d in the region 2 less than or equal to d < 4. Conc lusions concerning the effectiveness of different resummation techniqu es are drawn.