A family of spin-S chain representations of SU(2)_k Wess-Zumino-Witten models
A family of spin-S chain representations of SU(2)_k Wess-Zumino-Witten models
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DOI：
10.1103/physrevb.85.195149
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发表时间：
2011-10
影响因子：
3.7
通讯作者：
R. Thomale;S. Rachel;P. Schmitteckert;M. Greiter
中科院分区：
文献类型：
--
作者：
R. Thomale;S. Rachel;P. Schmitteckert;M. Greiter
我们调查了一个家庭的自旋S链哈密顿最近介绍了我们之一。对于S=1/2，它对应于Haldane-Shastry模型。对于一般自旋S，我们发现这些自旋链的低能理论可用SU（2）_k Wess-Zumino-维滕模型描述，其中耦合k=2S.特别地，我们研究了S=1的模型，其基态是由一个Pfidian偶数个网站N。我们调和方面的任意N的哈密顿量的频谱与两个Haldane-Shastry链的Schwinger投影得到的试用状态。
We investigate a family of spin-S chain Hamiltonians recently introduced by one of us. For S=1/2, it corresponds to the Haldane-Shastry model. For general spin S, we find indication that the low-energy theory of these spin chains is described by the SU(2)_k Wess-Zumino-Witten model with coupling k=2S. In particular, we investigate the S=1 model whose ground state is given by a Pfaffian for even number of sites N. We reconcile aspects of the spectrum of the Hamiltonian for arbitrary N with trial states obtained by Schwinger projection of two Haldane-Shastry chains.