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Critical behavior of the XY model on growing scale-free networks
Wooseop Kwak1, Jae-Suk Yang, Jang-Il Sohn
1Department of Physics, Korea University, Seoul 131-701, Korea and Department of Physics, Chosun University, Gwangju 501-759, Korea.
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 < or = 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=2.62(3) , gammanu=0.127(4) , and betanu=0.442(2) from a finite-size scaling analysis.
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