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Dimer statistics on the Möbius strip and the Klein bottle

✍ Scribed by W.T. Lu; F.Y. Wu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
104 KB
Volume
259
Category
Article
ISSN
0375-9601

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✦ Synopsis

Closed-form expressions are obtained for the generating function of close-packed dimers on a 2 M = 2 N simple quartic lattice embedded on a Mobius strip and a Klein bottle. Finite-size corrections are also analyzed and compared with those ünder cylindrical and free boundary conditions. Particularly, it is found that, for large lattices of the same size and with a square symmetry, the number of dimer configurations on a Mobius strip is 70.2% of that on a cylinder. We also establish ẗwo identities relating dimer generating functions for Mobius strips and cylinders.

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