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Dimers on the 33.42 lattice

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  • Li, Shuli
  • Yan, Weigen

Abstract

In this work, we obtain explicit expression of the number of close-packed dimers (perfect matchings) of the 33.42 lattice with cylindrical boundary condition. Particularly, we show that the entropy of 33.42 lattice is the same for cylindrical and toroidal boundary conditions.

Suggested Citation

  • Li, Shuli & Yan, Weigen, 2016. "Dimers on the 33.42 lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 251-257.
    • Handle: RePEc:eee:phsmap:v:452:y:2016:i:c:p:251-257
    DOI: 10.1016/j.physa.2016.02.033
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    References listed on IDEAS

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    1. Yan, Weigen & Yeh, Yeong-Nan & Zhang, Fuji, 2008. "Dimer problem on the cylinder and torus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6069-6078.
    2. Wu, F.Y. & Wang, Fa, 2008. "Dimers on the kagome lattice I: Finite lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4148-4156.
    3. Lu, Wentao T. & Wu, F.Y., 1998. "Partition function zeroes of a self-dual Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(1), pages 157-170.
    4. Yan, Weigen & Zhang, Zuhe, 2009. "Asymptotic energy of lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1463-1471.
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    Cited by:

    1. Marčetić, Dušanka & Elezović-Hadžić, Sunčica & Živić, Ivan, 2020. "Statistics of close-packed dimers on fractal lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).

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