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

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. of the power law degree distribution P(k) similar to k(-lambda), where the degree k is the number of neighborhood. For lambda > 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. Copyright (C) EPLA, 2008