Dimer statistics on the Möbius strip and the Klein bottle

DOI10.1016/S0375-9601(99)00420-XzbMath0955.82018arXivcond-mat/9906154OpenAlexW2066574064MaRDI QIDQ1966905

Yanyan Li

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9906154

Mathematics Subject Classification ID

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (16)

DIMERS AND SPANNING TREES: SOME RECENT RESULTS ⋮ Study of dimer-monomer on the generalized Hanoi graph ⋮ The number of Kekulé structures of polyominos on the torus ⋮ Enumeration of perfect matchings of the Cartesian products of graphs ⋮ Forcing and anti-forcing polynomials of perfect matchings for some rectangle grids ⋮ The Pfaffian property of circulant graphs ⋮ GENERALIZED FIBONACCI NUMBERS AND DIMER STATISTICS ⋮ Refined conformal spectra in the dimer model ⋮ Transfer matrix for spanning trees, webs and colored forests ⋮ Identities between dimer partition functions on different surfaces ⋮ Critical resonance in the non-intersecting lattice path model ⋮ Close-packed dimers on nonorientable surfaces ⋮ Dimers and the critical Ising model on lattices of genus \(>1\) ⋮ Dimers on graphs in non-orientable surfaces ⋮ Spanning trees on hypercubic lattices and nonorientable surfaces ⋮ Fa-Yueh Wu's contributions in physics

Cites Work

• Matchings in graphs on non-orientable surfaces
• Critical free energy of a Möbius strip
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Dimer problem in statistical mechanics-an exact result
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