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note
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It was claimed in [8] that the dimer-monomer state is stable for λ > 2 for general S. It is only valid for S = 1/2 and does not hold for S ≥ 1 as proposition 2 says.
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note
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Similar arguments have been done for an S = 1/2 double-chain model which includes a parameter [6]. However, the model has no ground state with clusters larger than dimers for all parameter values.
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