Monte Carlo study of the ordering of the weakly anisotropic Heisenberg spin glass in magnetic fields

Abstract

The ordering of the three-dimensional Heisenberg spin glass with the weak random anisotropy in magnetic fields is studied by extensive equilibrium Monte Carlo simulations. Both the spin and the chirality are monitored. We find strong numerical evidence that a replica symmetry breaking transition occurs in the chiral sector, which accompanies the simultaneous spin-glass order. Despite the similarity in the global symmetry, the ordering behavior of the weakly anisotropic Heisenberg spin glass differs significantly from that of the strongly anisotropic Ising spin glass. The obtained phase diagram in the temperature - magnetic field plane is similar to the experimental phase diagram. Our results highlight the importance of the chirality in the spin-glass ordering of the Heisenberg-like spin glass, and support the spin-chirality decoupling-recoupling scenario of spin-glass transitions.

arXiv commentNew Figs.3(c) and 3(d) added. Minor modifications are made in some of the sentences. Accepted for publication in Phys. Rev. B

References in corpus (30)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Chirality driven anomalous Hall effect in weak coupling regime
• Single spin- and chiral-glass transition in vector spin glasses in three-dimensions
• Chiral-glass transition and replica symmetry breaking of a three-dimensional Heisenberg spin glass
• Dynamical simulation of spin-glass and chiral-glass orderings in three-dimensional Heisenberg spin glasses
• Ordering in Heisenberg Spin Glasses
• Spin-Glass and Chiral-Glass Transitions in a $\pm J$ Heisenberg Spin-Glass Model in Three Dimensions
• Anomalous Hall effect as a probe of the chiral order in spin glasses
• Ordering in a spin glass under applied magnetic field
• Nature of the ordering of the three-dimensional XY spin glass
• Ising Spin Glasses in a Magnetic Field
• Chiral susceptibility in canonical spin glass and reentrant alloys from Hall effect measurements
• Zero-temperature responses of a 3D spin glass in a field
• Stiffness of the Heisenberg Spin-Glass Model at Zero- and Finite-Temperatures in Three Dimensions
• On the Dynamics of the 4d Spin Glass in a magnetic field
• Ordering of the three-dimensional Heisenberg spin glass in magnetic fields
• Spin-Glass-like Transition and Hall Resistivity of Y2-xBixIr2O7
• Replica symmetry breaking transition of the weakly anisotropic Heisenberg spin glass in magnetic fields
• How the Replica-Symmetry-Breaking Transition Looks Like in Finite-Size Simulations
• Monte Carlo Studies of the Ordering of the Three-Dimensional Isotropic Heisenberg Spin Glass in Magnetic Fields
• 4D Spin Glasses in Magnetic Field Have a Mean Field like Phase
• Dynamical Critical Phenomena in three-dimensional Heisenberg Spin Glasses
• Order-parameter fluctuations (OPF) in spin glasses: Monte Carlo simulations and exact results for small sizes
• Ordering of the Heisenberg Spin Glass in High Dimensions
• Anomalous Hall Effect of Reentrant Spin Glass System Fe1-xAlx (x ~ 0.3)
• Comment on "Ising Spin Glasses in a Magnetic Field"
• Local excitations of a spin glass in a magnetic field
• Off-equilibrium fluctuation-dissipation relations in the 3d Ising Spin Glass in a magnetic field
• Tempering simulations in the four dimensional +-J Ising spin glass in a magnetic field
• Reply to Comment on "Ising Spin Glasses in a Magnetic Field"

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