Interacting domain walls and the five-vertex model.
Interacting domain walls and the five-vertex model.
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相互作用的畴壁和五顶点模型。
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
Kim
中科院分区：
文献类型：
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作者：
Noh;Kim
我们研究了相互作用畴壁模型的热力学和临界性质，该模型源自具有各向异性最近邻和次近邻相互作用的三角晶格反铁磁伊辛模型。该模型相当于一般的五顶点模型。通过 Bethe Ansatz 方法精确对角化传输矩阵，我们获得了显示由 Pokrovsky-Talapov 跃迁分隔的等相和不等相 (IC) 相的相图。相图显示了相应的相，其中畴壁密度 $q$ 被锁定在 $0$、$1/2$ 和 $1$ 的值。 IC相是用高斯不动点描述的临界状态。使用共形场理论的有限尺寸缩放预测，以解析和数值方式获得 IC 相的有效高斯耦合常数。它在非相互作用极限以及 $q=0$ 或 $1$ 相的边界处取值 $1/2$，在 $q=1/2$ 相的边界处取值 $2$，而它在整个 IC 区域中平滑变化。 （出现在 PHY. REV. E 中）
We investigate the thermodynamic and critical properties of an interacting domain wall model which is derived from the triangular lattice antiferromagnetic Ising model with the anisotropic nearest and next nearest neighbor interactions. The model is equivalent to the general five--vertex model. Diagonalizing the transfer matrix exactly by the Bethe Ansatz method, we obtain the phase diagram displaying the commensurate and incommensurate (IC) phases separated by the Pokrovsky--Talapov transitions. The phase diagram exhibits commensurate phases where the domain wall density $q$ is locked at the values of $0$, $1/2$ and $1$. The IC phase is a critical state described by the Gaussian fixed point. The effective Gaussian coupling constant is obtained analytically and numerically for the IC phase using the finite size scaling predictions of the conformal field theory. It takes the value $1/2$ in the non-interacting limit and also at the boundaries of $q=0$ or $1$ phase and the value $2$ at the boundary of $q=1/2$ phase, while it varies smoothly throughout the IC region. (TO APPEAR IN PHY. REV. E)