New Universality Class in three dimensions: the Antiferromagnetic $RP^2$ model

H. G. Ballesteros; L. A. Fernandez; V. Martin-Mayor; A. Munoz Sudupe

doi:10.1016/0370-2693(96)00358-9

New Universality Class in three dimensions: the Antiferromagnetic $RP^2$ model

High Energy Physics - Lattice 2009-10-28 v2 Condensed Matter

Authors: H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

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Abstract

We present the results of a Monte Carlo simulation of the $RP^2$ model in three dimensions with negative coupling. We observe a second order phase transition between the disordered phase and an antiferromagnetic, unfrustrated, ordered one. We measure, with a Finite Size Scaling analysis, the thermal exponent, obtaining $\nu=0.784(8)$ . We have found two magnetic-type relevant operators whose related $\eta$ exponents are $0.038(2)$ and $1.338(8)$ respectively.

Keywords

RP^2 model antiferromagnetic phase transition Monte Carlo simulation finite size scaling critical exponents

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@article{arxiv.hep-lat/9511003,
  title  = {New Universality Class in three dimensions: the Antiferromagnetic $RP^2$ model},
  author = {H. G. Ballesteros and L. A. Fernandez and V. Martin-Mayor and A. Munoz Sudupe},
  journal= {arXiv preprint arXiv:hep-lat/9511003},
  year   = {2009}
}

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10 pages, 2 Postscript figures. Revised version: references added

New Universality Class in three dimensions: the Antiferromagnetic $RP^2$ model

Abstract

Keywords

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