Exact low-temperature behavior of kagome antiferromagnet at high fields

Details Exact low-temperature behavior of kagome antiferromagnet at high fields Exact low-temperature behavior of kagome antiferromagnet at high fields

2004-05-25

arxiv.org/abs/cond-mat/0405578v2

Phys. Rev. B 70, 100403 (2004)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 2 figures, replaced with accepted version

Scientific paper

10.1103/PhysRevB.70.100403

Low-energy degrees of freedom of a spin-1/2 kagome 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 to obtain quantitative description of the magnetothermodynamics of a quantum kagome 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.

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