4D Spin Glasses in Magnetic Field Have a Mean Field like Phase

Abstract

By using numerical simulations we show that the 4D $J=\pm 1$ Edwards Anderson spin glass in magnetic field undergoes a mean field like phase transition. We use a dynamical approach: we simulate large lattices (of volume $V$) and work out the behavior of the system in limit where both $t$ and $V$ go to infinity, but where the limit $V\to \infty$ is taken first. By showing that the dynamic overlap $q$ converges to a value smaller than the static one we exhibit replica symmetry breaking. The critical exponents are compatible with the ones obtained by mean field computations.

Physrev format, 5 ps figures included

References in corpus (1)

• About the overlap distribution in mean field spin glass models

Cited by in corpus (21)

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• On the Phase Structure of the 3D Edwards Anderson Spin Glass
• Off-Equilibrium Dynamics at Very Low Temperatures in 3d Spin Glasses
• Dynamical transition in the D = 3 Edwards-Anderson spin glass in an external magnetic field
• Zero-temperature responses of a 3D spin glass in a field
• Real space application of the mean-field description of spin glass dynamics
• Critical Behavior of the 4D Spin Glass in Magnetic Field
• Some considerations of finite dimensional spin glasses
• Monte Carlo study of the ordering of the weakly anisotropic Heisenberg spin glass in magnetic fields
• Replica field theory and renormalization group for the Ising spin glass in an external magnetic field
• Comment on "Ising Spin Glasses in a Magnetic Field"
• Numerical study of the SK Model in magnetic field
• Off-equilibrium fluctuation-dissipation relations in the 3d Ising Spin Glass in a magnetic field
• Magnetic Field Scaling in Spin Glasses and the Mean-Field Theory
• From Linear to Nonlinear Response in Spin Glasses: Importance of Mean-Field-Theory Predictions
• Evidence against an Almeida-Thouless line in disordered systems of Ising dipoles
• Learning to find order in disorder
• Numerical test of the replica-symmetric Hamiltonian for the correlations of the critical state of spin glasses in a field
• Reply to Comment on "Ising Spin Glasses in a Magnetic Field"
• Spin glasses in a field show a phase transition varying the distance among real replicas (and how to exploit it to find the critical line in a field)
• Low T Dynamical Properties of Spin Glasses Smoothly Extrapolate to T=0