Numerical studies of chiral ordering in three-dimensionalXYspin glasses

Chiral-glass and spin-glass orderings of the nearest-neighbor XY spin glasses in three dimensions are studied numerically by means of a Monte Carlo simulation, together with a T=0 domain-wall renormalization-group method. The results strongly suggest the occurrence of a finite-temperature chiral-glass ordering accompanied with broken reflection symmetry with orientational symmetry preserved. The estimated chiral-glass exponents, νCG=1.5±{}0.3 and ηCG=-0.4±{}0.2, are close to the exponents of the three-dimensional Ising spin glass, suggesting that the chiral-glass transition in an XY spin glass belongs to the universality class of the standard Ising spin glass. By contrast, the conventional orientational spin-glass ordering seems to occur only at zero temperature, consistent with the previous results. Effects of uniform magnetic fields and random magnetic anisotropies are discussed.