phase diagram of a 3D Heisenberg spin glass

Abstract We study the three-dimensional (3D) ± J Heisenberg spin glass in a magnetic field. Two different methods are applied to examine the phase transition, i.e., an equilibrium Monte Carlo method and a non-equilibrium relaxation method. Both methods give qualitatively the same results. That is, the Gabay–Toulouse (GT) phase transition occurs at H ≠ 0 . We also calculate the stiffness exponent θ to estimate the critical magnetic field H c at T = 0 and give a phase diagram.