Universal behaviors in the wrinkling transition of disordered membranes

Abstract

The wrinkling transition experimentally identified by Mutz et al. [Phys. Rev. Lett. 67, 923 (1991)] and then thoroughly studied by Chaieb et al. [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. [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.

arXiv comment6 pages, 2 figures, published version

References in corpus (19)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• From Point Defects in Graphene to Two-Dimensional Amorphous Carbon
• Novel effects of strains in graphene and other two dimensional materials
• Self-Consistent Theory of Polymerized Membranes
• Optimization of the derivative expansion in the nonperturbative renormalization group
• The Statistical Mechanics of Membranes
• Crumpling transition and flat phase of polymerized phantom membranes
• Suppression of anharmonicities in crystalline membranes by external strain
• The Structure of Physical Crystalline Membranes within the Self-Consistent Screening Approximation
• Self-Consistent Screening Approximation for Flexible Membranes: Application to Graphene
• Anomalous elasticity, fluctuations and disorder in elastic membranes
• Thermal fluctuations of free standing graphene
• First order phase transitions in polymerized phantom membranes
• Nonlocal effective average action approach to crystalline phantom membranes
• Crumpled-to-tubule transition in anisotropic polymerized membranes: beyond epsilon-expansion
• A glassy phase in quenched disordered graphene and crystalline membranes
• The flat phase of quantum polymerized membranes

Cited by in corpus (6)

• The flat phase of polymerized membranes at two-loop order
• Three-loop order approach to flat polymerized membranes
• Wrinkling transition in quenched disordered membranes at two loops
• Flat phase of quenched disordered membranes at three-loop order
• Crumpled-to-flat transition of quenched disordered membranes at two-loop order
• Geometrically-induced localization of flexural waves on thin warped physical membranes