2001/03/16 by Rahul Siddharthan, Antoine Georges · 2 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.65.014417
5 pages, revtex, 5 eps figures included
arxiv created 2001/03/16 · openalex publication_date 2001/12/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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.