title: Correlated cluster mean-field theory for spin-glass systems.
abstract: The competition between cluster spin glass (CSG) and ferromagnetism or antiferromagnetism is studied in this work. The model considers clusters of spins with short-range ferromagnetic or antiferromagnetic (FE-AF) interactions (J_{0}) and long-range disordered couplings (J) between clusters. The problem is treated by adapting the correlated cluster mean-field theory of D. Yamamoto [Phys. Rev. B 79, 144427 (2009)]. Phase diagrams T/J×J_{0}/J are obtained for different cluster sizes n_{s}. The results show that the CSG phase is found below the freezing temperature T_{f} for lower intensities of J_{0}/J. The increase of short-range FE interaction can favor the CSG phase, while the AF one reduces the CSG region by decreasing the T_{f}. However, there are always critical values of J_{0} where AF or FE orders become stable. The results also indicate a strong influence of the cluster size in the competition of magnetic phases. For AF cluster, the increase of n_{s} diminishes T_{f} reducing the CSG phase region, which indicates that the cluster surface spins can play an important role in the CSG arising.
authors.affiliation: Departamento de Física, Universidade Federal de Santa Maria, 97105-900 Santa Maria, RS, Brazil.
authors.forename: F M
authors.initials: FM
authors.lastname: Zimmer
authors.affiliation: Departamento de Física, Universidade Federal de Santa Maria, 97105-900 Santa Maria, RS, Brazil.
authors.forename: M
authors.initials: M
authors.lastname: Schmidt
authors.affiliation: Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil.
authors.forename: S G
authors.initials: SG
authors.lastname: Magalhaes
mesh_terms: D005898:Glass; D060328:Magnetic Phenomena; D008962:Models, Theoretical; D044367:Phase Transition; D013696:Temperature