Monte Carlo Studies of the Ordering of the Three-Dimensional Isotropic Heisenberg Spin Glass in Magnetic Fields

Abstract

Spin and chirality orderings of the three-dimensional Heisenberg spin glass under magnetic fields are studied by large-scale equilibrium Monte Carlo simulations. It is found that the chiral-glass transition and the chiral-glass ordered state, which are essentially of the same character as their zero-field counterparts, occur under magnetic fields. The chiral-glass ordered state exhibits a one-step-like peculiar replica-symmetry breaking in the chiral sector, while it does not accompany the spin-glass order perpendicular to the applied field. Critical perperties of the chiral-glass transition are different from those of the standard Ising spin glass. Magnetic phase diagram of the model is constructed, which reveals that the chiral-glass state is quite robust against magnetic fields. The chiral-glass transition line has a character of the Gabay-Toulouse line of the mean-field model, yet its physical origin being entirely different. These numerical results are discussed in light of the recently developed spin-chirality decoupling-recoupling scenario. Implication to experimental phase diagram is also discussed.

23 pages, 23 figures

References in corpus (2)

• Nature of the ordering of the three-dimensional XY spin glass
• Ordering of the three-dimensional Heisenberg spin glass in magnetic fields

Cited by in corpus (17)

• Ordering in Heisenberg Spin Glasses
• Anomalous Hall effect as a probe of the chiral order in spin glasses
• Nature of the phase transition of the three-dimensional isotropic Heisenberg spin glass
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
• Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glass in magnetic fields
• Fluctuation-dissipation ratio of the Heisenberg spin glass
• Dynamical Critical Phenomena in three-dimensional Heisenberg Spin Glasses
• Spin-chirality decoupling in Heisenberg spin glasses and related systems
• Monte Carlo study of the ordering of the weakly anisotropic Heisenberg spin glass in magnetic fields
• The ordering of XY spin glasses
• Ordering of the Heisenberg Spin Glass in High Dimensions
• Ordering of the Heisenberg spin glass in two dimensions
• Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Magnetic dephasing in mesoscopic spin glasses
• Absence of Phase Transition in Random Language Model
• Robustness of the Random Language Model