Numerical simulation of the XY-model on a two-dimensional random lattice

Mai Suan Li, Marek Cieplak

Petter Minnhagen, Beom Jun Kim, Petter Holme

P. Surànyi, Paul Harten

The massively parallel processor is used to perform Monte Carlo simulations for the two dimensional XY model on lattices of sizes up to 128 x 128. A parallel random number generator was constructed, finite size effects were studied, and run times were compared with those on a CRAY X-MP supercomputer.

L. A. S. Mόl, A. R. Pereira, Hassan Chamati +1 more

Ke Jin, T. L. Chen, Wu-Qun Huang

The Monte Carlo renormalisation group method is applied to discussing the nature of the phase transition of the XY model on a two-dimensional random triangular lattice. A line of fixed points and a nonuniversal phase transition have been found, in agreement with Kosterlitz-Thouless theory.

P Reed

The two-dimensional XY model in the presence of random hexagonal anisotropy has been investigated by Monte Carlo simulation. The results indicate the existence of two continuous transitions as the temperature is reduced. Each of the phases is characterised by algebraic decay of the pair correlation functions.