Numerical study of the phase transitions in the two-dimensional Z(5) vector model

Details Numerical study of the phase transitions in the two-dimensional Z(5) vector model Numerical study of the phase transitions in the two-dimensional Z(5) vector model

2010-11-26

arxiv.org/abs/1011.5806v2

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, 12 figures; version to appear on Phys. Rev. E; added two figures, an appendix, some text and a few references

Scientific paper

We investigate the critical properties of the two-dimensional Z(5) vector model. For this purpose, we propose a new cluster algorithm, valid for Z(N) models with odd values of N. The two-dimensional Z(5) vector model is conjectured to exhibit two phase transitions with a massless intermediate phase. We locate the position of the critical points and study the critical behavior across both phase transitions in details. In particular, we determine various critical indices and compare the results with analytical predictions.

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