Critical properties of random anisotropy magnets

Abstract

The problem of critical behaviour of three dimensional random anisotropy magnets, which constitute a wide class of disordered magnets is considered. Previous results obtained in experiments, by Monte Carlo simulations and within different theoretical approaches give evidence for a second order phase transition for anisotropic distributions of the local anisotropy axes, while for the case of isotropic distribution such transition is absent. This outcome is described by renormalization group in its field theoretical variant on the basis of the random anisotropy model. Considerable attention is paid to the investigation of the effective critical behaviour which explains the observation of different behaviour in the same universality class.

41 pages, 10 figures

References in corpus (1)

• Effective critical behaviour of diluted Heisenberg-like magnets

Cited by in corpus (22)

• Critical properties in single crystals of Pr1-xPbxMnO3
• Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. I: Effective Average Action Formalism
• Two-loop Functional Renormalization Group of the Random Field and Random Anisotropy O(N) Models
• Long-range correlated random field and random anisotropy O(N) models: A functional renormalization group study
• Critical behavior of the random-anisotropy model in the strong-anisotropy limit
• Monte-Carlo study of anisotropic scaling generated by disorder
• Scaling of Coercivity in a 3d Random Anisotropy Model
• Zero-temperature behavior of the random-anisotropy model in the strong-anisotropy limit
• Random Anisotropy Magnet at Finite Temperature
• Random field and random anisotropy O(N) spin systems with a free surface
• The random anisotropy model revisited
• Mangetic phase transition for three-dimensional Heisenberg weak random anisotropy model: Monte Carlo study
• Critical behavior of nanocrystalline gadolinium: Evidence for a new universality class
• An ac field probe for the magnetic ordering of magnets with random anisotropy
• Stripe order, impurities, and symmetry breaking in a diluted frustrated magnet
• Possibility of a continuous phase transition in random-anisotropy magnets with ageneric random-axis distribution
• Model C critical dynamics of random anisotropy magnets
• Phase transitions in XY models with randomly oriented crystal fields
• Critical Behavior of the Three-Dimensional Random Anisotropy Heisenberg Model
• Energy minima and ordering in ferromagnets with quenched randomness
• Equilibrium and out-of-equilibrium critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy
• Replica symmetry breaking for anisotropic magnets with quenched disorder