The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model

Details The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model The "Square Kagome" Quantum Antiferromagnet and the Eight Vertex Model

2001-03-16

arxiv.org/abs/cond-mat/0103334v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, revtex, 5 eps figures included

Scientific paper

10.1103/PhysRevB.65.014417

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 the kagome lattice. Focusing on the spin half Heisenberg quantum antiferromagnet, we generalise the spin symmetry group from SU(2) to SU(N). In the large N limit, we map the model exactly to the eight vertex model, solved by Baxter. We predict an exponential number of low-lying singlet states, a triplet gap, and a two-peak specific heat. In addition, the large N limit suggests a finite temperature phase transition into a phase with ordered ``resonance loops'' and broken translational symmetry.

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