A uniform approach to antiferromagnetic Heisenberg spins on low-dimensional lattices

@article{Benoit2000AUA,
  title={A uniform approach to antiferromagnetic Heisenberg spins on low-dimensional lattices},
  author={J{\'e}r{\^o}me Benoit and R. Dandoloff},
  journal={Physics Letters A},
  year={2000},
  volume={276},
  pages={175-179}
}
Abstract Using group theoretical methods we show for both the triangular and square lattices that in the continuum limit the antiferromagnetic order parameter lives on SO(3) without respect of the initial lattice. For the antiferromagnetic chain we recover the Haldane decomposition. This order parameter interacts with a local gauge field rather than with a global one as implicitly suggested in the literature which in our approach appears in a rather natural manner. In fact this merely… Expand