Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion

Details Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion

2010-11-29

arxiv.org/abs/1011.6173v1

Phys. Rev. Lett. 106, 128102 (2011)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.106.128102

Anisotropic D-dimensional polymerized phantom membranes are investigated within a nonperturbative renormalization group (NPRG) framework. One focuses on the transition between a high-temperature, crumpled, phase and a low-temperature, tubular, phase where the membrane is flat along one direction and crumpled along the other ones. While the upper critical dimension - Duc=5/2 - is close to D=2 the weak-coupling perturbative approach is qualitatively and quantitatively wrong. We show that our approach is free of the problems encountered within the perturbative framework and provides physically meaningful critical quantities.

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