论文标题
朝向量子晶体熔化的Yang-baxter的一致性：从Kagome晶格到顶点模型
Towards Yang-Baxter integrability of quantum crystal melting: From Kagome lattice to vertex models
论文作者
论文摘要
本文考虑了与平面分区分类的状态的Kagome晶格系统的各个方面。使用两组免费的费米子，我们根据两个旋转链系列重写了晶格。在这种形式主义中，量子晶体哈密顿量变得更加透明，我们确定了平面隔板状态的前三个级别的表达式。还定义了与Kagome晶格中本地配置关联的经典统计模型，我们表明，该经典系统的降低给出了与6-Vertex模型后代类似的两个Yang-Baxter集成子系统。
This paper considers aspects of a Kagome lattice system with states classified by plane partitions. Using two sets of free fermions, we rewrite the lattice in terms of two families of spin chains. In this formalism, the quantum crystals Hamiltonian becomes more transparent, and we determine expressions for the first 3 levels of plane partition states. A classical statistical model associated with local configurations in the Kagome lattice is also defined, and we show that a reduction of this classical system gives two Yang-Baxter integrable subsystems analogous to a descendant of the 6-vertex model.
