Correlation-function approach to the critical properties of the three-dimensional XY model
- Authors
- Cha, Min-Chul; Jeon, In-Ho
- Issue Date
- Oct-2012
- Publisher
- KOREAN PHYSICAL SOC
- Keywords
- XY model; Monte Carlo simulation; Critical phenomena; Correlation function
- Citation
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.61, no.8, pp.1194 - 1198
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN PHYSICAL SOCIETY
- Volume
- 61
- Number
- 8
- Start Page
- 1194
- End Page
- 1198
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/31828
- DOI
- 10.3938/jkps.61.1194
- ISSN
- 0374-4884
- Abstract
- The critical properties of the three-dimensional XY model are investigated through measurements of the two-point correlation functions via a worm-algorithm Monte Carlo calculation, which automatically crunches the correlation functions while tracing worms, in large systems. This method has the advantage of directly measuring the order parameter, as well as the correlation length, the susceptibility, and their associated critical exponents. From the finite-size scaling behavior, we find 2 beta/nu = 1.033(5) and gamma/nu = 1.967(5), confirming the hyperscaling relations.
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