Chiral glass ordering in theXYspin glass in four dimensions

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 is found by a finite-size scaling analysis of the results. The associated chiral correlation-length exponent is estimated to be and . The values for the chiral critical temperature and the exponents are very similar to those recently reported for the spin-glass transition in this model. The results strongly suggest a simultaneous ordering of spin and chirality in four dimensions.