Critical Behaviour of 3D Systems with Long-Range Correlated Quenched Defects

Abstract

A field-theoretic description of the critical behaviour of systems with quenched defects obeying a power law correlations $\sim |\mathbf{x}{|}^{-a}$ for large separations $\mathbf{x}$ is given. Directly for three-dimensional systems and different values of correlation parameter $2\le a\le 3$ a renormalization analysis of scaling function in the two-loop approximation is carried out, and the fixed points corresponding to stability of the various types of critical behaviour are identified. The obtained results essentially differ from results evaluated by double $\epsilon ,\delta$ - expansion. The critical exponents in the two-loop approximation are calculated with the use of the Pade-Borel summation technique.

Submitted to J. Phys. A, Letter to Editor 9 pages, 4 figures

References in corpus (2)

• Phase transitions in anisotropic superconducting and magnetic systems with vector order parameters: Three-loop renormalization-group analysis
• Dynamical properties of the Landau-Ginzburg model with long-range correlated quenched impurities

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