Frustration effects in antiferromagnets on planar random graphs

  title={Frustration effects in antiferromagnets on planar random graphs},
  author={Martin Weigel and Des Johnston},
We consider the effect of geometric frustration induced by the random distribution of loop lengths in the “fat” graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is rather mild for ferromagnets in that an ordered phase persists and only the properties of the phase transition are substantially changed in some cases, any finite-temperature transition is wiped out due to frustration for some of the antiferromagnetic models… CONTINUE READING