# PHASE TRANSITIONS IN THE TWO-DIMENSIONAL XY MODEL WITH RANDOM PHASES : A MONTE CARLO STUDY

@article{Maucourt1997PHASETI, title={PHASE TRANSITIONS IN THE TWO-DIMENSIONAL XY MODEL WITH RANDOM PHASES : A MONTE CARLO STUDY}, author={J. Maucourt and Daniel R. Grempel}, journal={Physical Review B}, year={1997}, volume={56}, pages={2572-2579} }

We study the two-dimensional XY model with quenched random phases by Monte Carlo simulation and finite-size scaling analysis. We determine the phase diagram of the model and study its critical behavior as a function of disorder and temperature. If the strength of the randomness is less than a critical value, $\sigma_{c}$, the system has a Kosterlitz-Thouless (KT) phase transition from the paramagnetic phase to a state with quasi-long-range order. Our data suggest that the latter exists down to…

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