**Lattice mismatch induced ripples and wrinkles in planar graphene/boron
nitride superlattices**

D Nandwana and E Ertekin, JOURNAL OF APPLIED PHYSICS, 117, 234304 (2015).

DOI: 10.1063/1.4922504

A continuum theory to describe periodic ripple formation in planar
graphene/boron nitride superlattices is formulated. Due to the lattice
mismatch between the two materials, it is shown that flat superlattices
are unstable with respect to ripple formation of appropriate
wavelengths. A competition between bending energy and transverse
stretching energy gives rise to an optimal ripple wavelength that
depends on the superlattice pitch. The optimal wavelengths predicted by
the continuum theory are in good agreement with atomic scale total
energy calculations previously reported by Nandwana and Ertekin **Nano
Lett. 15, 1468 (2015)**. (C) 2015 AIP Publishing LLC.

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