Classical antiferromagnets on the Kagomé lattice

David A. Huse, Andrew D. Rutenberg

Research output: Contribution to journalArticlepeer-review

264 Scopus citations


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 languageEnglish (US)
Pages (from-to)7536-7539
Number of pages4
JournalPhysical Review B
Issue number13
StatePublished - 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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