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On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions
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cond-mat
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chainsextendedhalf-integerinteractionslong-rangespinantiferromagneticchain
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The Lieb-Shultz-Mattis theorem is extended to Heisenberg chains with long-range interactions. We prove that the half-integer spin chain has no gap, if it possesses unique ground state and the exchange decays faster than the inverse-square of distance between spins. The results can be extended to a wide class of one-dimensional models.
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