The critical behavior of three-dimensional Ising spin glass models

Abstract

We perform high-statistics Monte Carlo simulations of three-dimensional Ising spin-glass models on cubic lattices of size L: the +- J (Edwards-Anderson) Ising model for two values of the disorder parameter p, p=0.5 and p=0.7 (up to L=28 and L=20, respectively), and the bond-diluted bimodal model for bond-occupation probability p_b = 0.45 (up to L=16). The finite-size behavior of the quartic cumulants at the critical point allows us to check very accurately that these models belong to the same universality class. Moreover, it allows us to estimate the scaling-correction exponent ωrelated to the leading irrelevant operator: ω=1.0(1). Shorter Monte Carlo simulations of the bond-diluted bimodal models at p_b=0.7 and p_b=0.35 (up to L=10) and of the Ising spin-glass model with Gaussian bond distribution (up to L=8) also support the existence of a unique Ising spin-glass universality class. A careful finite-size analysis of the Monte Carlo data which takes into account the analytic and the nonanalytic corrections to scaling allows us to obtain precise and reliable estimates of the critical exponents νand η: we obtain ν=2.45(15) and η=-0.375(10).

48 pages

References in corpus (5)

• Behavior of Ising Spin Glasses in a Magnetic Field
• The 3D +-J Ising model at the ferromagnetic transition line
• Magnetic-glassy multicritical behavior of the three-dimensional +- J Ising model
• Entropic Effects in the Very Low Temperature Regime of Diluted Ising Spin Glasses with Discrete Couplings
• Reduction of Dilute Ising Spin Glasses

Cited by in corpus (5)

• An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Spin Glass Transition at Nonzero Temperature in a Disordered Dipolar Ising System: The Case of LiHoxY{1-x}F4
• The Spin Glass Phase in the Four-State, Three-Dimensional Potts Model