New Results for q-State Vertex Models and the Pure Biquadratic Spin-1 Hamiltonian
New Results for q-State Vertex Models and the Pure Biquadratic Spin-1 Hamiltonian
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DOI：
10.1209/0295-5075/9/8/013
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发表时间：
1989-08
期刊：
影响因子：
1.8
通讯作者：
A. Klümper
中科院分区：
文献类型：
--
作者：
A. Klümper
引入了新的精确可解SO(q)不变q状态顶点模型。我们采用了一种利用反转关系的新方法，使我们能够直接确定传递矩阵的谱。结果应用于相关的量子自旋链。一个特例是纯双二次自旋为1的哈密顿量它是非临界的。计算各种物理量，如能隙和相关长度。
New exactly solvable SO(q)-invariant q-state vertex models are introduced. We employ a new method using inversion relations which enables us to determine directly the spectra of the transfer matrices. The results are applied to related quantum spin chains. A special case is the pure biquadratic spin-1 Hamiltonian which turns out to be noncritical. Various quantities are calculated, e.g., the energy gap and the correlation length.