Critical behavior of magnetic systems with extended impurities in general dimensions

Abstract

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in ${\epsilon }_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the remaining $d-{\epsilon }_d$ 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 $d,{\epsilon }_d$. 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.

8 figures. To appear in Phys. Rev. B

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