中国物理B ›› 1996, Vol. 5 ›› Issue (9): 646-653.doi: 10.1088/1004-423X/5/9/002

• GENERAL • 上一篇    下一篇

EXACT RESULTS FOR A SYMMETRIC 27-VERTEX MODEL

米向东, 杨展如   

  1. Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:1995-07-07 修回日期:1995-11-15 出版日期:1996-09-20 发布日期:1996-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China, the National Basic Research project "Nonlinear Science", and the State Education commission Grant for doctor study.

EXACT RESULTS FOR A SYMMETRIC 27-VERTEX MODEL

MI XIANG-DONG (米向东), YANG ZHAN-RU (杨展如)   

  1. Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
  • Received:1995-07-07 Revised:1995-11-15 Online:1996-09-20 Published:1996-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China, the National Basic Research project "Nonlinear Science", and the State Education commission Grant for doctor study.

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摘要： Wu study a symmetric 3-state 27-vertex model and summarize three ways con-tributing to obtaining information of a higher-spin (more-vertex) model in terms of lower-spin (less-vertex) models. We find that this model is equivalent to a symmet-ric 2-state 8-vertex model or an arbitrary 3-state spin models on Kagome lattice in different eases. And 21 exact critical lines and a multicritical point (add something that I cannot recognize) are obtained in ten-dimensional weight space.

Abstract: Wu study a symmetric 3-state 27-vertex model and summarize three ways con-tributing to obtaining information of a higher-spin (more-vertex) model in terms of lower-spin (less-vertex) models. We find that this model is equivalent to a symmet-ric 2-state 8-vertex model or an arbitrary 3-state spin models on Kagome lattice in different eases. And 21 exact critical lines and a multicritical point (add something that I cannot recognize) are obtained in ten-dimensional weight space.

中图分类号:  (Lattice theory and statistics)

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