Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glass in magnetic fields

Abstract

The spin and the chirality orderings of the three-dimensional Heisenberg spin glass with the weak random anisotropy are studied under applied magnetic fields by equilibrium Monte Carlo simulations. A replica symmetry breaking transition occurs in the chiral sector accompanied by the simultaneous spin-glass order. The ordering behavior differs significantly from that of the Ising SG, despite the similarity in the global symmetry. Our observation is consistent with the spin-chirality decoupling-recoupling scenario of a spin-glass transition.

arXiv comment4 pages, 4 figures

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Cited by in corpus (15)

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• Aging Dynamics of the Heisenberg Spin Glass
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
• Chiral susceptibility in canonical spin glass and reentrant alloys from Hall effect measurements
• Dynamical breakdown of the Ising spin-glass order under a magnetic field
• Heisenberg Spin Glass Experiments and the Chiral Ordering Scenario
• 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
• "Glassy Dynamics" in Ising Spin Glasses -- Experiment and Simulation
• The ordering of XY spin glasses
• 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
• Lithium Ruthenates: Controlling Dimensionality and Topology of Magnetic-Ion Arrangements