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arXiv · hep-lat/9511003

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

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 $ν=0.784(8)$. We have found two magnetic-type relevant operators whose related $η$ exponents are $0.038(2)$ and $1.338(8)$ respectively.

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H. G. Ballesteros, L. A. Fernandez, V. Martin-Mayor, A. Munoz Sudupe. 1995-11-07. New Universality Class in three dimensions: the Antiferromagnetic $RP^2$ model. https://doi.org/10.1016/0370-2693(96)00358-9

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