Folding transitions of the square-diagonal lattice

Research output: Contribution to journalArticlepeer-review


We address the problem of "phantom" folding of the tethered membrane modeled by the two-dimensional square lattice, with bonds on the edges and diagonals of each face. Introducing bending rigidities K1 and K2 for respectively long and short bonds, we derive the complete phase diagram of the model, using transfer matrix calculations. The latter displays two transition curves, one corresponding to a first-order (ferromagnetic) folding transition, and the other to a continuous (anti-ferromagnetic) unfolding transition.

Original languageEnglish (US)
Pages (from-to)453-468
Number of pages16
JournalNuclear Physics B
Issue number3
StatePublished - Sep 21 1998
Externally publishedYes


  • Folding
  • Phase transition
  • Polymerized membrane
  • Vertex model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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