Folding transitions of the square--diagonal two--dimensional lattice

Details Folding transitions of the square--diagonal two--dimensional lattice Folding transitions of the square--diagonal two--dimensional lattice

2000-02-16

arxiv.org/abs/cond-mat/0002248v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX file including five LaTeX figures, one eps figure

Scientific paper

10.1016/S0550-3213(00)00289-3

The phase diagram of a vertex model introduced by P. Di Francesco (Nucl. Phys. B 525, 507 1998) representing the configurations of a square lattice which can fold with different bending energies along the main axes and the diagonals has been studied by Cluster Variation Method. A very rich structure with partially and completely folded phases, different disordered phases and a flat phase is found. The crumpling transition between a disordered and the flat phase is first-order. The CVM results are confimed by the analysis of the ground states and of the two limits where the model reduces to an Ising model.

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