Chiral ordering in the four-dimensional planar spin glass

Abstract

The chiral glass behaviour of the nearest-neighbour random-bond XY spin glass in four dimensions is studied by Monte Carlo simulations. A chiral glass transition at T cg = 0.90 ± 0.05 is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be ν cg = 0.6 ± 0.1 and η cg ∼ 0.25. The values for the chiral critical temperature and the exponents are very similar to those reported recently for the spin glass transition in this model. The results strongly suggest a simultaneous ordering of spin and chirality in four dimensions.2