The asymmetric six-vertex model
The asymmetric six-vertex model
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DOI：
10.1007/bf01049030
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发表时间：
1992-04
影响因子：
1.6
通讯作者：
I. Nolden
中科院分区：
文献类型：
--
作者：
I. Nolden
对Sutherlandet等人在1967年发表的几乎没有任何推导的非对称六顶点模型的精确解进行了详细的重新推导。讨论了传递矩阵法和自由能的Bethe Ansatz解（可由积分方程计算）。对于某些特殊情况（零极化或极大极化），积分方程可以精确求解。此外，对小但非零极化进行了有效的渐近分析。讨论了结果的解析性质及其与BCSOS模型的相关性。
The exact solution of the asymmetric six-vertex model, published nearly without derivation by Sutherlandet al.in 1967, is rederived in detail. The transfer matrix method and the Bethe Ansatz solution for the free energy (which can be calculated from an integral equation) are discussed. For some special cases (zero or maximal polarization) the integral equation can be solved exactly. In addition, an asymptotic analysis, valid for small but nonzero polarization, is carried out. The analytical properties of the results and their relevance for the BCSOS model are discussed.