Dimer statistics of honeycomb lattices on Klein bottle, M枚bius strip and cylinder

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• 作者：Wei Li up>li_w07@lzu.edu.cnup> ; Heping Zhangup> ; up>up>zhanghp@lzu.edu.cnup>
• 关键词：Close-packed dimers ; Honeycomb lattice ; Pfaffian orientation ; Crossing orientation
• 刊名：Physica A
• 出版年：2012
• 期刊代码：138_03784371
• 类别：et
• 出版时间：1 August, 2012
• 卷：391
• 期：15
• 页码：3833-3848
• 文件大小：386 K

摘要

Dimer statistics is a central problem in statistical physics. In this paper the enumerations of close-packed dimers of honeycomb lattices on Klein bottle, M枚bius strip and cylinder are considered. By establishing a Pfaffian orientation or a crossing orientation, and then computing the determinants of the skew-symmetric matrices of the resulting orientation graphs, we obtain explicit expressions of the number of close-packed dimers of the Klein-bottle polyhex, the M枚bius polyhex and the cylindrical polyhex.