English

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

High Energy Physics - Lattice 2013-05-29 v2 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.1011.5806,
  title  = {Numerical study of the phase transitions in the two-dimensional Z(5) vector model},
  author = {Oleg Borisenko and Gennaro Cortese and Roberto Fiore and Mario Gravina and Alessandro Papa},
  journal= {arXiv preprint arXiv:1011.5806},
  year   = {2013}
}

Comments

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