Universal behaviors in the wrinkling transition of disordered membranes.

The wrinkling transition experimentally identified by Mutz et al. [M. Mutz, D. Bensimon, and M. J. Brienne, Phys. Rev. Lett. 67, 923 (1991)] and then thoroughly studied by Chaieb et al. [ S. Chaieb, V.K. Natrajan, and A. A. El-rahman, Phys. Rev. Lett. 96, 078101 (2006)] in partially polymerized lipid membranes is reconsidered. One shows that the features associated with this transition, notably the various scaling behaviors of the height-height correlation functions that have been observed, are qualitatively and quantitatively well described by a recent nonperturbative renormalization group (NPRG) approach to quenched disordered membranes by Coquand et al. [O. Coquand, K. Essafi, J.-P. Kownacki, and D. Mouhanna, Phys. Rev E 97, 030102 (2018)]. As these behaviors are associated with fixed points of RG transformations they are universal and should also be observed in, e.g., defective graphene and graphene-like materials.