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

Abstract

Applying the histogram reweighting method, we investigate the critical behavior of the XY model on growing scale-free networks with various degree exponents lambda. For lambda <= 3, the critical temperature diverges as it does for the Ising model on scale-free networks. For lambda = 8, on the other hand, we observe a second-order phase transition at finite temperature. We obtain the critical temperature T-c=3.08(2) and the critical exponents (nu) over tilde =2.62(3), gamma/(nu) over tilde =0.127(4), and beta/(nu) over tilde =0.442(2) from a finite-size scaling analysis.