Crumpling transition and flat phase of polymerized phantom membranes

Details Crumpling transition and flat phase of polymerized phantom membranes Crumpling transition and flat phase of polymerized phantom membranes

2008-11-06

arxiv.org/abs/0811.0884v4

Phys. Rev. E 79, 040101 (2009)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure, version published in PRE

Scientific paper

10.1103/PhysRevE.79.040101

Polymerized phantom membranes are revisited using a nonperturbative renormalization group approach. This allows one to investigate both the crumpling transition and the low-temperature, flat, phase in any internal dimension D and embedding dimension d, and to determine the lower critical dimension. The crumpling phase transition for physical membranes is found to be of second order within our approximation. A weak first-order behavior, as observed in recent Monte Carlo simulations, is however not excluded.

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