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

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arxiv hep-lat/9511003 v2 pith:HFXOZ3L7 submitted 1995-11-02 hep-lat cond-mat

H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe (Dept. de Fisica Teorica I , Universidad Complutense de Madrid , Spain) This is my paper · ORCID
classification hep-latcond-mat
keywords antiferromagneticdimensionsmodelphasethreeanalysiscarloclass
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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.

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  1. Emergence of the 3D diluted Ising model universality class in a mixture of two magnets

    cond-mat.dis-nn 2024-11 conditional novelty 6.0 of 10

    A random binary mixture of Ising magnets with two spin lengths belongs to the 3D site-diluted Ising universality class, with spin-length ratio and concentration tuning the size of scaling corrections.

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