The de Almeida-Thouless line in vector spin glasses

Abstract

We consider the infinite-range spin glass in which the spins have m > 1 components (a vector spin glass). Applying a magnetic field which is random in direction, there is an Almeida Thouless (AT) line below which the "replica symmetric" solution is unstable, just as for the Ising (m=1) case. We calculate the location of this AT line for Gaussian random fields for arbitrary m, and verify our results by numerical simulations for m = 3$.

19 pages, 4 eps figures

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• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
• Behavior of Ising Spin Glasses in a Magnetic Field
• Finite size scaling of the de Almeida-Thouless instability in random sparse networks

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