Ever since the discovery of graphene and subsequent explosion
of
interest in single-atom-thick materials, studying their mechanical
properties has been an active area of research. Atomistic length scales
often necessitate a rethinking of physical laws, making such studies
crucial for understanding and ultimately utilizing material properties.
Here, we report on the investigation of nanoscale periodic ripples
in suspended, single-layer graphene sheets by scanning tunneling microscopy
and atomistic scale simulations. Unlike the sinusoidal ripples found
in classical fabrics, we find that graphene forms triangular ripples,
where bending is limited to a narrow region on the order of a few
unit cell dimensions at the apex of each ripple. This nonclassical
bending profile results in graphene behaving like a bizarre fabric,
which regardless of how it is draped, always buckles at the same angle.
Investigating the origin of such nonclassical mechanical properties,
we find that unlike a thin classical fabric, both in-plane and out-of-plane
deformations occur in a graphene sheet. These two modes of deformation
compete with each other, resulting in a strain-locked optimal buckling
configuration when draped. Electronically, we see that this in-plane
deformation generates pseudo electric fields creating a ∼3 nm wide pnp heterojunction purely by strain modulation.