Ferromagnetic-glassy transitions in three-dimensional Ising spin glasses

Abstract

We investigate the ferromagnetic-glassy transitions which separate the low-temperature ferromagnetic and spin-glass phases in the temperature-disorder phase diagram of three-dimensional Ising spin-glass models. For this purpose, we consider the cubic-lattice +-J (Edwards-Anderson) Ising model with bond distribution $P(J)=p\delta (J-1)+(1-p)\delta (J+1)$, and present a numerical Monte Carlo study of the critical behavior along the line that marks the onset of ferromagnetism. The finite-size scaling analysis of the Monte Carlo data shows that the ferromagnetic-glassy transition line is slightly reentrant. As a consequence, for an interval of the disorder parameter p, around p=0.77, the system presents a low-temperature glassy phase, an intermediate ferromagnetic phase, and a high-temperature paramagnetic phase. Along the ferromagnetic-glassy transition line magnetic correlations show a universal critical behavior with critical exponents nu=0.96(2) and eta=-0.39(2). The hyperscaling relation beta/nu = (1 + eta)/2 is satisfied at the transitions, so that beta/nu = 0.305(10). This magnetic critical behavior represents a new universality class for ferromagnetic transitions in Ising-like disordered systems. Overlap correlations are apparently not critical and show a smooth behavior across the transition.

24 pages

References in corpus (11)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• The critical behavior of three-dimensional Ising spin glass models
• An Extended Scaling Scheme for Critically Divergent Quantities in Ferromagnets and Spin Glasses
• Critical behavior of the three-dimensional bond-diluted Ising spin glass: Finite-size scaling functions and Universality
• The 3D +-J Ising model at the ferromagnetic transition line
• Strong disorder fixed points in the two-dimensional random-bond Ising model
• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• The critical behavior of 3D Ising glass models: universality and scaling corrections
• Magnetic-glassy multicritical behavior of the three-dimensional +- J Ising model
• Universality of the glassy transitions in the two-dimensional +- J Ising model
• The three-dimensional gauge-glass model

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