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摘要翻译：
引入并求解了一类特殊的可积相互作用顶点模型族，推广了已知的六顶点模型。除了顶点之间通常的最近邻相互作用外，距离较远的一对顶点之间还存在额外的硬核相互作用。利用最近引入的矩阵积{It ansatz}对相关的行-行转移矩阵进行了对角化。类似于六顶点模型与XXZ量子链的关系，这些新模型的行间转移矩阵也是一个无穷多交换守恒电荷集的母函数。在这些电荷中，我们确定了XXZ链的可积推广，它包含了自旋之间的硬核排斥相互作用。这些量子链已经出现在文献中。本文解释了它们的可积性。
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英文标题：
《Exactly solvable interacting vertex models》
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作者：
Francisco C. Alcaraz and Matheus J. Lazo
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We introduce and solvev a special family of integrable interacting vertex models that generalizes the well known six-vertex model. In addition to the usual nearest-neighbor interactions among the vertices, there exist extra hard-core interactions among pair of vertices at larger distances.The associated row-to-row transfer matrices are diagonalized by using the recently introduced matrix product {\it ansatz}. Similarly as the relation of the six-vertex model with the XXZ quantum chain, the row-to-row transfer matrices of these new models are also the generating functions of an infinite set of commuting conserved charges. Among these charges we identify the integrable generalization of the XXZ chain that contains hard-core exclusion interactions among the spins. These quantum chains already appeared in the literature. The present paper explains their integrability.
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PDF链接：
https://arxiv.org/pdf/706.2178
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