1995/12/11 by Emilio N. M. Cirillo, Giuseppe Gonnella, Alessandro Pelizzola · 17 citations
Materials Science · Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Curvature #Geometry #Graph #Hexagonal lattice #Lattice (music) #Material Dynamics and Properties #Mathematical physics #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Stochastic processes and statistical mechanics #Symmetry breaking #Theoretical and Computational Physics #Vertex (graph theory) #Vertex model #cond-mat #hep-th
paper · pdf · doi:10.1103/physreve.53.3253
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 53(4), 3253-3256 (American Physical Society) · 11 pages, latex file, 2 postscript figures
arxiv created 1995/12/11 · openalex publication_date 1996/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter [Nucl. Phys. B 450, 463 (1995)] describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of the cluster variation method. The model describes the behavior of a polymerized membrane in a discrete three-dimensional space. We have introduced a curvature energy and a symmetry breaking field and studied the phase diagram of the resulting model. By varying the curvature energy parameter, a first-order transition has been found between a flat and a folded phase for any value of the symmetry breaking field. \textcopyright 1996 The American Physical Society.