Vertex type fractions of the six-vertex model at Δ = -1

被引：0

作者：

Takagi, T ^{[1
]}

机构：

[1] Natl Def Acad, Dept Math & Phys, Yokosuka, Kanagawa 2398686, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 08期

关键词：

statistical mechanics; two-dimensional lattice model; eight-vertex model; symmetric polynomials;

D O I：

10.1143/JPSJ.67.2653

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study analytic expressions for the averaged fraction of each vertex type of the six-vertex model extensively. Upon the critical line the expressions of the quantity in the anti-ferroelectric phase and in the gapless phase get simplified. This enables us to see more easily the equivalence of the two quantities of which one is derived by differentiating the free energy, and the other is by calculating a trace of the vertex operators in the theory of a quantum affine algebra. We also prove an extra liner relation satisfied by the fractions on the critical line.

引用

页码：2653 / 2657

页数：5

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