Critical behavior of the XY model on static scale-free networks

Abstract

The critical behaviors of the equilibrium model on correlated and uncorrelated networks are known to differ, and the critical behavior of the XY model on correlated scale-free networks has been examined. Here, we study the XY model on uncorrelated scale-free networks with various degree exponents λ of the power law degree distribution P(k)∼k- λ, where the degree k is the number of neighborhood. For λ>5, we find that the critical exponents of the XY model on uncorrelated networks are identical to those of the standard mean field. These results vary from those derived from correlated networks.