Folding the square-diagonal lattice

Research output: Contribution to journalArticlepeer-review


We study the problem of "phantom" folding of the two-dimensional square lattice, in which the edges and diagonals of each face can be folded. The nonvanishing thermodynamic folding entropy per face s ≃ .2299(1) is estimated both analytically and numerically, by successively mapping the model onto a dense loop model, a spin model and a new 28 Vertex, 4-color model. Higher-dimensional generalizations are investigated, as well as other foldable lattices.

Original languageEnglish (US)
Pages (from-to)507-548
Number of pages42
JournalNuclear Physics B
Issue number3
StatePublished - Aug 17 1998
Externally publishedYes


  • Entropy
  • Folding
  • Membrane
  • Vertex model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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