### Abstract

We study the critical behavior of the three-dimensional planar magnet model in which each spin is considered to have three components of which only the x and y components are coupled. We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin reorientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the fourth-order cumulant in finite-size lattices using the single-histogram reweighting method. Using finite-size scaling theory, we obtained the critical temperature which is very different from that of the usual (Formula presented) model. At the critical temperature, we calculated the susceptibility and the magnetization on lattices of size up to (Formula presented). Using finite-size scaling theory we accurately determine the critical exponents of the model and find that (Formula presented) (Formula presented), and (Formula presented). Thus we conclude that the model belongs to the same universality class with the (Formula presented) model, as expected.

Original language | English (US) |
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Pages (from-to) | 11575-11578 |

Number of pages | 4 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 59 |

Issue number | 17 |

DOIs | |

State | Published - Jan 1 1999 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*59*(17), 11575-11578. https://doi.org/10.1103/PhysRevB.59.11575