Folding Transitions of the Square-Diagonal Lattice

Details Folding Transitions of the Square-Diagonal Lattice Folding Transitions of the Square-Diagonal Lattice

1998-04-06

arxiv.org/abs/cond-mat/9804073v1

Physics

Condensed Matter

TeX using harvmac.tex and epsf.tex, 22 pages (l mode), 17 figures

Scientific paper

10.1016/S0550-3213(98)00431-3

We address the problem of "phantom" folding of the tethered membrane modelled by the two-dimensional square lattice, with bonds on the edges and diagonals of each face. Introducing bending rigidities $K_1$ and $K_2$ for respectively long and short bonds, we derive the complete phase diagram of the model, using transfer matrix calculations. The latter displays two transition curves, one corresponding to a first order (ferromagnetic) folding transition, and the other to a continuous (anti-ferromagnetic) unfolding transition.

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