Monte Carlo simulations of XY spin glasses

Abstract

The nearest-neighbour XY spin glass is studied on both a square and a simple cubic lattice by Monte Carlo simulation. In two dimensions the results are consistent with a transition only at temperature T=0; the spin glass susceptibility, the correlation length and the average relaxation time all diverge as a power law in T^-1 as T to 0. In three dimensions a good fit is obtained both for a zero-temperature transition and a finite-temperature transition. Estimates are given for critical exponents in each case. However, if a zero-temperature transition is assumed, static critical exponents are obtained in good agreement with other work and the dynamic exponent which has not been estimated before.