Square kagome quantum antiferromagnet and the eight-vertex model
Square kagome quantum antiferromagnet and the eight-vertex model
We introduce a two-dimensional network of corner-sharing triangles with square-lattice symmetry. Properties of magnetic systems here should be similar to those on a kagome lattice. Focusing on the spin-1/2 Heisenberg quantum antiferromagnet, we generalize the spin symmetry group from SU(2) to $\mathrm{SU}(N).$ In the large-$N$ limit, we map the model …