English

Critical behavior of magnetic systems with extended impurities in general dimensions

Disordered Systems and Neural Networks 2016-08-31 v1

Abstract

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in ϵd\epsilon_d dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the remaining dϵdd-\epsilon_d dimensions; both in the case of fixed dimension d=3 and when the space dimension continuously changes from the lower critical dimension to the upper one. The renormalization group calculations are performed in the minimal subtraction scheme. We analyze the two-loop renormalization group functions for different fixed values of the parameters d,ϵdd, \epsilon_d. To this end, we apply the Chisholm-Borel resummation technique and report the numerical values of the critical exponents for the universality class of this system.

Keywords

Cite

@article{arxiv.cond-mat/0301383,
  title  = {Critical behavior of magnetic systems with extended impurities in general dimensions},
  author = {V. Blavatska and C. von Ferber and Yu. Holovatch},
  journal= {arXiv preprint arXiv:cond-mat/0301383},
  year   = {2016}
}

Comments

8 figures. To appear in Phys. Rev. B