Ising Spin Glasses in a Magnetic Field

Abstract

Ground states of the three dimensional Edwards-Anderson spin glass are computed in the presence of an external magnetic field. Our algorithm is sufficiently powerful for us to treat systems with up to 600 spins. We perform a statistical analysis of how the ground state changes as the field is increased, and reach the conclusion that the spin glass phase at zero temperature does not survive in the presence of any finite field. This is in agreement with the droplet model or scaling predictions, but in sharp disagreement with the mean field picture. For comparison, we also investigate a dilute mean field spin glass model where an Almeida-Thouless line is present.

4 pages, 4 figures, Revtex

References in corpus (4)

• Evidence for the droplet/scaling picture of spin glasses
• Scaling of stiffness energy for 3d +/-J Ising spin glasses
• A general method to determine replica symmetry breaking transitions
• Critical Behavior of the 4D Spin Glass in Magnetic Field

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• Replica field theory and renormalization group for the Ising spin glass in an external magnetic field
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• 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)