2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/18172The 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 PREStatistical MechanicsDisordered Systems and Neural NetworksSuperconductivitytext