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On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions

Tigran Hakobyan
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Abstract

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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Tigran Hakobyan. 2002-07-24. On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions. https://doi.org/10.1088/0305-4470%2F36%2F47%2Fl01

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