The random Blume-Capel model on cubic lattice: first order inverse freezing in a 3D spin-glass system

Abstract

We present a numerical study of the Blume-Capel model with quenched disorder in 3D. The phase diagram is characterized by spin-glass/paramagnet phase transitions of both first and second order in the thermodynamic sense. Numerical simulations are performed using the Exchange-Monte Carlo algorithm, providing clear evidence for inverse freezing. The main features at criticality and in the phase coexistence region are investigated. The whole inverse freezing transition appears to be first order. The second order transition appears to be in the same universality class of the Edwards-Anderson model. The nature of the spin-glass phase is analyzed by means of the finite size scaling behavior of the overlap distribution functions and the four-spins real-space correlation functions. Evidence for a replica symmetry breaking-like organization of states is provided.

18 pages, 24 figures, 7 tables

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• Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
• Improved Pseudolikelihood Regularization and Decimation methods on Non-linearly Interacting Systems with Continuous Variables
• Inverse Transitions in the Ghatak-Sherrington model with Bimodal Random Fields
• Random, thermodynamic and inverse first order transitions in the Blume-Capel spin-glass
• Small clusters Renormalization Group in 2D and 3D Ising and BEG models with ferro, antiferro and quenched disordered magnetic interactions
• The overlap parameter across an inverse first order phase transition in a 3D spin-glass
• Inverse transitions and disappearance of the λ-line in the asymmetric random field Ising and Blume-Capel models
• Materials Physics and Spin Glasses
• Generalized Lotka-Volterra model with sparse interactions: non-Gaussian effects and topological multiple-equilibria phase
• Dynamical arrest with zero complexity: the unusual behavior of the spherical Blume Emery Griffiths disordered model
• Spin-1 Hopfield model under a random field