Correlation functions of the six-vertex IRF model and its quantum spin chain

IF 2.5 3区 物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS
T.S. Tavares , G.A.P. Ribeiro
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引用次数: 0

Abstract

We consider the interaction-round-a-face version of the isotropic six-vertex model. The associated spin chain is made of two coupled Heisenberg spin chains with different boundary twists. The phase diagram of the model and the long distance correlations were studied in Tavares and Ribeiro (2023) [43]. Here, we compute the short-distance correlation functions of the model in the ground state for finite system sizes via non-linear integral equations and in the thermodynamic limit. This was possible since the model satisfies the face version of the discrete quantum Knizhnik-Zamolodchikov (qKZ) equation. A suitable ansatz for the density matrix is proposed in the form of a direct sum of two Heisenberg density matrices, which allows us to obtain the discrete functional equation for the two-site function ω(λ1,λ2). Thanks to the known results on the factorization of correlation functions of the Heisenberg chain, we are able to compute the density matrix of the IRF model for up to four sites and its associated spin chain for up to three sites.
六顶点 IRF 模型及其量子自旋链的相关函数
我们考虑的是各向同性六顶点模型的交互环面版本。相关的自旋链由两个具有不同边界扭曲的耦合海森堡自旋链组成。Tavares 和 Ribeiro (2023) [43]对该模型的相图和长距离相关性进行了研究。在这里,我们通过非线性积分方程和热力学极限计算了该模型在有限系统尺寸下基态的短程相关函数。这是可能的,因为该模型满足离散量子克尼兹尼克-扎莫洛奇科夫(qKZ)方程的面版。我们以两个海森堡密度矩阵直接和的形式为密度矩阵提出了一个合适的解析式,从而得到了两点函数ω(λ1,λ2)的离散函数方程。得益于海森堡链相关函数因式分解的已知结果,我们能够计算多达四个位点的 IRF 模型密度矩阵,以及多达三个位点的相关自旋链。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Nuclear Physics B
Nuclear Physics B 物理-物理:粒子与场物理
CiteScore
5.50
自引率
7.10%
发文量
302
审稿时长
1 months
期刊介绍: Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.
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