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

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

1999-07-24

arxiv.org/abs/cond-mat/9907378v1

J. Phys. A: Math. Gen. 32, L399-L405 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1088/0305-4470/32/36/102

A field-theoretic description of the critical behaviour of systems with quenched defects obeying a power law correlations $\sim |{\bf x}|^{-a}$ for large separations ${\bf x}$ is given. Directly for three-dimensional systems and different values of correlation parameter $2\leq a \leq 3$ 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.

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