Critical dynamics and effective exponents of magnets with extended impurities

Details Critical dynamics and effective exponents of magnets with extended impurities Critical dynamics and effective exponents of magnets with extended impurities

2005-06-24

arxiv.org/abs/cond-mat/0506644v1

Phys. Rev. B 72, 064417 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 6 figures

Scientific paper

10.1103/PhysRevB.72.064417

We investigate the asymptotic and effective static and dynamic critical behavior of (d=3)-dimensional magnets 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. The field-theoretical renormalization group perturbative expansions being evaluated naively do not allow for the reliable numerical data. We apply the Chisholm-Borel resummation technique to restore convergence of the two-loop expansions and report the numerical values of the asymptotic critical exponents for the model A dynamics. We discuss different scenarios for static and dynamic effective critical behavior and give values for corresponding non-universal exponents.

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