Dimers on two-dimensional lattices
统计力学
2015-06-24 v5 材料科学
组合数学
摘要
We consider close-packed dimers, or perfect matchings, on two-dimensional regular lattices. We review known results and derive new expressions for the free energy, entropy, and the molecular freedom of dimers for a number of lattices including the simple-quartic (4^4), honeycomb (6^3), triangular (3^6), kagome (3.6.3.6), 3-12 (3.12^2) and its dual [3.12^2], and 4-8 (4.8^2) and its dual Union Jack [4.8^2] Archimedean tilings. The occurrence and nature of phase transitions are also analyzed and discussed.
引用
@article{arxiv.cond-mat/0303251,
title = {Dimers on two-dimensional lattices},
author = {F. Y. Wu},
journal= {arXiv preprint arXiv:cond-mat/0303251},
year = {2015}
}
备注
Typos corrections in Eqs. (28), (32) and (43)