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Dimers on two-dimensional lattices | | F. Y. Wu
; | | Date: |
13 Mar 2003 | | Subject: | Statistical Mechanics; Materials Science; Combinatorics | cond-mat.stat-mech cond-mat.mtrl-sci math.CO | | Abstract: | 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. | | Source: | arXiv, cond-mat/0303251 | | Services: | Forum | Review | PDF | Favorites | |
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