## Abstract

We examine the classical antiferromagnet on the Kagomé lattice with nearest-neighbor interactions and n-component vector spins. Each case n=1,2,3 and n>3 has its own special behavior. The Ising model (n=1) is disordered at all temperatures. The XY model (n=2) in the zero-temperature (T0) limit reduces to the three-state Potts model, which in turn can be mapped onto a solid-on-solid model that is o/Iat its roughening transition. Exact critical exponents are derived for this system. The spins in the Heisenberg model (n=3) become coplanar and more ordered than the XY model as T0. Thus we argue that the Heisenberg model has long-range antiferromagnetic order in the limit T0. For n>3 the system appears to remain disordered for T0.

Original language | English (US) |
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Pages (from-to) | 7536-7539 |

Number of pages | 4 |

Journal | Physical Review B |

Volume | 45 |

Issue number | 13 |

DOIs | |

State | Published - Jan 1 1992 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Condensed Matter Physics