Close-packed dimers on nonorientable surfaces

被引：26

作者：

Lu, WTT ^{[1
]}

Wu, FY ^{[1
]}

机构：

[1] Northeastern Univ, Dept Phys, Boston, MA 02115 USA

来源：

PHYSICS LETTERS A | 2002年 / 293卷 / 5-6期

基金：

美国国家科学基金会;

关键词：

close-packed dimers; nonorientable surfaces; reciprocity theorem;

D O I：

10.1016/S0375-9601(02)00019-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The problem of enumerating dimers on an M x N net embedded on nonorientable surfaces is considered. We solve both the Mobius strip and Klein bottle problems for all M and N with the aid of imaginary dimer weights. The use of imaginary weights simplifies the analysis, and as a result we obtain new compact solutions in the form of double products. The compact expressions also permit us to establish a general reciprocity theorem. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：235 / 246

页数：12

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