Phys. Rev. B 70, 100403(R) (2004) [4 pages]Exact low-temperature behavior of a kagomé antiferromagnet at high fields
Low-energy degrees of freedom of a spin-1∕2 kagomé antiferromagnet in the vicinity of the saturation field are mapped to a hard-hexagon model on a triangular lattice. The latter model is exactly solvable. The presented mapping allows us to obtain the quantitative description of the magnetothermodynamics of a quantum kagomé antiferromagnet up to exponentially small corrections as well as predict the critical behavior for the transition into a magnon crystal state. Analogous mapping is presented for the sawtooth chain, which is mapped onto a model of classical hard dimers on a chain. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.70.100403
DOI:
10.1103/PhysRevB.70.100403
PACS:
75.50.Ee, 75.45.+j, 75.10.Jm, 75.30.Sg
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