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Exact low-temperature behavior of a kagomé antiferromagnet at high fields
Low-energy degrees of freedom of a spin-$1∕2$ kagom\'e 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 kagom\'e antiferromagnet …