Folding transition of the triangular lattice

P. Di Francesco, E. Guitter

Research output: Contribution to journalArticlepeer-review


We study the problem of folding of the regular triangular lattice in the presence of bending rigidity K and magnetic field h (conjugate to the local normal vectors to the triangles). A numerical study of the transfer matrix of the problem shows the existence of three first-order transition lines in the (K,h) plane separating three phases: a folded phase, a phase frozen in the completely flat configuration (with all normal vectors pointing up), and its mirror image (all normal vectors pointing down). At zero magnetic field, a first-order folding transition is found at a positive value Kc0.11(1) of the bending rigidity, corresponding to a triple point in the phase diagram.

Original languageEnglish (US)
Pages (from-to)4418-4426
Number of pages9
JournalPhysical Review E
Issue number6
StatePublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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