Crossover behavior in three-dimensional dilute spin systems

Details Crossover behavior in three-dimensional dilute spin systems Crossover behavior in three-dimensional dilute spin systems

2003-07-29

arxiv.org/abs/cond-mat/0307699v3

Phys.Rev. E69 (2004) 036120

Physics

Condensed Matter

Statistical Mechanics

32 pages, 10 figs, final version accepted for publication (Phys Rev E)

Scientific paper

10.1103/PhysRevE.69.036120

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the Gaussian-to-random and the pure-Ising-to-random crossover, determining the corresponding crossover functions for the magnetic susceptibility and the correlation length. Moreover, for the physically interesting cases of dilute Ising, XY, and Heisenberg systems, we estimate several universal ratios of scaling-correction amplitudes entering the high-temperature Wegner expansion of the magnetic susceptibility, of the correlation length, and of the zero-momentum quartic couplings.

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