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

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

1995-11-02

arxiv.org/abs/hep-lat/9511003v2

Phys.Lett. B378 (1996) 207-212

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0370-2693(96)00358-9

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.

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