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Yang-Lee Edge Singularity of the Ising Model on a Honeycomb Lattice in an External Magnetic Field
Journal of the Korean Physical Society ( IF 0.6 ) Pub Date : 2020-08-01 , DOI: 10.3938/jkps.77.271
Seung-Yeon Kim

The Ising model in an external magnetic field is one of the most outstanding and intriguing unsolved problems. One of the important properties of the Ising model in an external magnetic field is the Yang-Lee edge singularity. The zeros in the complex magnetic-field plane of the grand partition function of the Ising model on a honeycomb lattice in an external magnetic field are exactly calculated by using the exact integer values for the density of states on L × 2L honeycomb lattices (up to L = 14). The critical line of the Yang-Lee edge singularity of the Ising model on a honeycomb lattice in an external magnetic field is accurately investigated from its Yang-Lee zeros.

中文翻译:

蜂窝晶格上的 Ising 模型在外磁场中的 Yang-Lee 边缘奇异性

外磁场中的伊辛模型是最突出和最有趣的未解决问题之一。Ising 模型在外部磁场中的重要特性之一是 Yang-Lee 边缘奇点。通过使用 L × 2L 蜂窝晶格上的态密度的精确整数值精确计算外部磁场中蜂窝晶格上 Ising 模型的大配分函数的复磁场平面中的零点(高达L = 14)。从其 Yang-Lee 零点准确地研究了外部磁场中蜂窝晶格上 Ising 模型的 Yang-Lee 边缘奇点的临界线。
更新日期:2020-08-01
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