Crossover behavior in three-dimensional dilute spin systems

Abstract

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.

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

References in corpus (5)

• The three-dimensional randomly dilute Ising model: Monte Carlo results
• Effective critical behaviour of diluted Heisenberg-like magnets
• Field-theory results for three-dimensional transitions with complex symmetries
• Crossover from random-exchange to random-field critical behavior in Ising models
• Critical equation of state of randomly dilute Ising systems

Cited by in corpus (16)

• Ageing Properties of Critical Systems
• Critical behavior of O(2)xO(N) symmetric models
• Universality class of 3D site-diluted and bond-diluted Ising systems
• Universal dependence on disorder of 2D randomly diluted and random-bond +-J Ising models
• Critical properties of random anisotropy magnets
• The 3D +-J Ising model at the ferromagnetic transition line
• Magnetic-glassy multicritical behavior of the three-dimensional +- J Ising model
• Critical behavior of two-dimensional cubic and MN models in the five-loop renormalization-group approximation
• The normal-to-planar superfluid transition in Helium 3
• Spin models with random anisotropy and reflection symmetry
• Three-dimensional Ising model confined in low-porosity aerogels: a Monte Carlo study
• Static and dynamic structure factors in three-dimensional randomly diluted Ising models
• Effective and asymptotic criticality of structurally disordered magnets
• Model C critical dynamics of disordered magnets
• Emergence of the 3D diluted Ising model universality class in a mixture of two magnets
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models