Numerical evidence of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass

TL;DR

This paper provides numerical evidence that in a three-dimensional Heisenberg spin glass, chiral and spin orderings occur at different nonzero temperatures, demonstrating spin-chirality decoupling through extensive Monte Carlo simulations.

Contribution

It offers the first numerical evidence of spin-chirality decoupling in the 3D Heisenberg spin glass with Gaussian couplings.

Findings

Chiral-glass transition occurs at a higher temperature than spin-glass transition.

Both transitions occur at nonzero temperatures, T_{CG} > T_{SG}.

The results support the spin-chirality decoupling hypothesis.

Abstract

Ordering of the three-dimensional Heisenberg spin glass with Gaussian coupling is studied by extensive Monte Carlo simulations. The model undergoes successive chiral-glass and spin-glass transitions at nonzero temperatures T_{CG} > T_{SG} > 0, exhibiting the spin-chirality decoupling.