Volume 84, Number 3, November 2008
Article Number 36004
Number of page(s) 5
Section Condensed Matter: Structural, Mechanical and Thermal Properties
Published online 17 October 2008
EPL, 84 (2008) 36004
DOI: 10.1209/0295-5075/84/36004

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

Jae-Suk Yang1, Wooseop Kwak2, Kwang-Il Goh1 and In-mook Kim1

1   Department of Physics, Korea University - Seoul 136-713, Korea
2   Department of Physics, Chosun University - Gwangju 501-759, Korea

received 9 June 2008; accepted in final form 19 September 2008; published November 2008
published online 17 October 2008

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 $\lambda$ of the power law degree distribution P(k)~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.

64.60.Cn - Order-disorder transformations.
64.60.F- - Equilibrium properties near critical points, critical exponents.
05.10.Ln - Monte Carlo methods.

© EPLA 2008