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

E. N. M. Cirillo·G. Gonnella·A. Pelizzola
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Abstract

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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E. N. M. Cirillo, G. Gonnella, A. Pelizzola. 2000-02-16. Folding transitions of the square--diagonal two--dimensional lattice. https://doi.org/10.1016/s0550-3213(00)00289-3

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