XY model in small-world networks
arXiv:cond-mat/0108392 · doi:10.1103/PhysRevE.64.056135
Abstract
The phase transition in the XY model on one-dimensional small-world networks is investigated by means of Monte-Carlo simulations. It is found that long-range order is present at finite temperatures, even for very small values of the rewiring probability, suggesting a finite-temperature transition for any nonzero rewiring probability. Nature of the phase transition is discussed in comparison with the globally-coupled XY model.
5 pages, accepted in PRE