XY model in small-world networks.

Beom Jun Kim,Hyunsuk Hong,P. Holme,G. Jeon,P. Minnhagen,M. Choi

Published 2001 in Physical review. E, Statistical, nonlinear, and soft matter physics

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.

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