Partition function of the eight-vertex model with domain wall boundary condition

Yang, Wen-Li and Zhang, Yao-Zhong (2009) Partition function of the eight-vertex model with domain wall boundary condition. Journal of Mathematical Physics, 50 8: 083518.1-083518.14. doi:10.1063/1.3205448

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Author Yang, Wen-Li
Zhang, Yao-Zhong
Title Partition function of the eight-vertex model with domain wall boundary condition
Journal name Journal of Mathematical Physics   Check publisher's open access policy
ISSN 0022-2488
1089-7658
1527-2427
Publication date 2009-08-26
Sub-type Article (original research)
DOI 10.1063/1.3205448
Open Access Status File (Publisher version)
Volume 50
Issue 8
Start page 083518.1
End page 083518.14
Total pages 14
Place of publication College Park, MD, United States
Publisher American Institute of Physics
Collection year 2010
Language eng
Formatted abstract
We derive the recursive relations of the partition function for the eight-vertex model on an N×N square lattice with domain wall boundary condition. Solving the recursive relations, we obtain the explicit expression of the domain wall partition function of the model. In the trigonometric/rational limit, our results recover the corresponding ones for the six-vertex model.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article # 083518

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 8 times in Scopus Article | Citations
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Created: Thu, 18 Feb 2010, 16:53:58 EST by Kay Mackie on behalf of School of Mathematics & Physics