Critical behavior of the XY model on uncorrelated and correlated random networks
- Authors
- Yang, Jae-Suk; Goh, Kwang-Il; Kim, In-mook; Kwak, Wooseop
- Issue Date
- 30-6월-2009
- Publisher
- IOP PUBLISHING LTD
- Citation
- NEW JOURNAL OF PHYSICS, v.11
- Indexed
- SCIE
SCOPUS
- Journal Title
- NEW JOURNAL OF PHYSICS
- Volume
- 11
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/119805
- DOI
- 10.1088/1367-2630/11/6/063048
- ISSN
- 1367-2630
- Abstract
- We numerically study the critical behavior of the XY model on the Erdos-Renyi random graph and a growing random network model, representing the uncorrelated and the correlated random networks, respectively. We also checked the dependence of the critical behavior on the choice of order parameters: the ordinary unweighted and the degree-weighted magnetization. On the Erdos-Renyi random network, the critical behavior of the XY model is found to be of the second order with the estimated exponents consistent with the standard mean-field theory for both order parameters. On the growing random network, on the contrary, we found that the critical behavior is not of the standard mean-field type. Rather, it exhibits behavior reminiscent of that in the infinite-order phase transition for both order parameters, such as the lack of discontinuity in specific heat and the non-divergent susceptibility at the critical point, as observed in the percolation and the Potts models on some growing network models.
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