Dynamical Critical Phenomena in three-dimensional Heisenberg Spin Glasses

TL;DR

This study uses large-scale off-equilibrium Monte Carlo simulations to analyze phase transitions in 3D Heisenberg spin glasses, revealing finite-temperature chiral-glass transitions and supporting the chirality scenario.

Contribution

It provides new insights into the nature of spin and chiral-glass transitions in 3D Heisenberg spin glasses through finite-size scaling analysis.

Findings

Chiral-glass transition occurs at finite temperature.

Spin-glass transition occurs at zero or lower temperature.

Results support the chirality scenario in 3D Heisenberg spin glasses.

Abstract

Spin-glass (SG) and chiral-glass (CG) orderings in three dimensional (3D) Heisenberg spin glass with and without magnetic anisotropy are studied by using large-scale off-equilibrium Monte Carlo simulations. A characteristic time of relaxation, which diverges at a transition temperature in the thermodynamic limit, is obtained as a function of the temperature and the system size. Based on the finite-size scaling analysis for the relaxation time, it is found that in the isotropic Heisenberg spin glass, the CG phase transition occurs at a finite temperature, while the SG transition occurs at a lower temperature, which is compatible with zero. Our results of the anisotropic case support the chirality scenario for the phase transitions in the 3D Heisenberg spin glasses.