We consider quantum spins with \(S\ge 1\), and two-body interactions with \(O(2S+1)\) symmetry. We discuss the ground state phase diagram of the one-dimensional system. We give a rigorous proof of dimerization for an open region of the phase diagram, for S sufficiently large. We also prove the existence of a gap for excitations.

中文翻译：

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具有 O(n) 对称性的量子自旋链中的二聚化

我们考虑具有\(S\ge 1\) 的量子自旋，以及具有\(O(2S+1)\)对称性的双体相互作用。我们讨论一维系统的基态相图。对于S足够大，我们对相图的开放区域给出了二聚化的严格证明。我们还证明了激发间隙的存在。