Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
Volume 20, Issue 32, Pages 5357-5371Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217979206036478
Keywords
close-packed dimers; two-dimensional lattices; exact results; phase transitions
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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, honeycomb, triangular, kagome, 3-12 and its dual, and 4-8 and its dual Union Jack lattices. The occurrence and nature of phase transitions are also elucidated and discussed in each case.
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