Folding transition of the triangular lattice in a discrete three--dimensional space

Details Folding transition of the triangular lattice in a discrete three--dimensional space Folding transition of the triangular lattice in a discrete three--dimensional space

1995-12-11

arxiv.org/abs/hep-th/9512069v1

Phys. Rev. E 53, (1996) 3253.

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex file, 2 postscript figures

Scientific paper

10.1103/PhysRevE.53.3253

A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter (cond-mat/9502063) 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 behaviour 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.

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