Chiral Ordering ofXYSpin Glasses in Two and Three Dimensions -Domain-Wall Renormalization-Group Studies

The nearest-neighbor XY spin glasses with ± J distribution of interactions are studied in both two and three dimensions by use of the domain-wall renormalization group method at zero temperature, with a focus on the chiral ordering. In two dimensions, both the chiral and XY -spin orientational components are found to order at zero temperature with mutually different correlation-length exponents ν≃1.2 and \(νₖ2.6\), respectively. In three dimensions, by contrast, we find that the system exhibits a finite-temperature chiral spin-glass ordering accompanied with a broken reflection symmetry with orientational symmetry preserved, whereas the conventional orientational spin-glass ordering occurs only at zero temperature.