%0 Journal Article %T Folding transition of the triangular lattice %+ Service de Physique Théorique (SPhT) %A Di Francesco, Philippe %A Guitter, Emmanuel %< avec comité de lecture %@ 2470-0045 %J Physical Review E %I American Physical Society (APS) %V 50 %N 6 %P 4418-4426 %8 1994-12 %D 1994 %R 10.1103/PhysRevE.50.4418 %Z Physics [physics]Journal articles %X 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 $K_c$ $\simeq$ 0.11(1) of the bending rigidity, corresponding to a triple point in the phase diagram. %G English %2 https://cea.hal.science/cea-02009477/document %2 https://cea.hal.science/cea-02009477/file/9406041.pdf %L cea-02009477 %U https://cea.hal.science/cea-02009477 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-DRF %~ TEST3-HALCNRS