Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene

Details Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene Pinning of a two-dimensional membrane on top of a patterned substrate: the case of graphene

2010-07-06

arxiv.org/abs/1007.1017v3

Phys. Rev. B 83, 165405 (2011)

Physics

Condensed Matter

Materials Science

Minor changes. Final version, as published

Scientific paper

10.1103/PhysRevB.83.165405

We study the pinning of a two-dimensional membrane to a patterned substrate within elastic theory both in the bending rigidity and in the strain dominated regimes. We find that both the in-plane strains and the bending rigidity can lead to depinning. We show from energetic arguments that the system experiences a first order phase transition between the attached configuration to a partially detached one when the relevant parameters of the substrate are varied, and we construct a qualitative phase diagram. Our results are confirmed through analytical solutions for some simple geometries of the substrate's profile.

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