Efficient cluster dynamics for the fully frustrated XY model

A Monte Carlo cluster dynamics is proposed for the fully frustrated XY model. The energy autocorrelation time results in systematically much smaller ones compared to that obtained with spin-flip Metropolis dynamics although the estimated dynamic critical exponent is not reduced. It is suggested that the dynamic behaviour is related to the percolation temperature Tp which results in higher ones when compared to the thermodynamic critical region, although very close to it. The percolative critical exponents coincide, within our numerical precision, with those of random percolation. The cluster Monte Carlo simulations support the existence of a Kosterlitz-Thouless transition at TKT ⋍ 0.4463 followed by a Ising-like transition at Tc ⋍ 0.453.