CHIRAL ORDERING OF XY SPIN-GLASSES IN 2 AND 3 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 v congruent-to 1.2 and v(K) greater-than-or-similar-to 2.6, 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.