Graphene is a two-dimensional material which has attracted the attention of many scientists over the past few years. To use graphene for electronic applications it should be placed on a substrate. The surface of any substrate has always a degree of corrugation. Substrate surface corrugation affects the surface morphology which in turn modulates the electronic properties of devices placed on suc...

This paper deals with the scattering of a TM plane wave from a perfectly conductive sinusoidal surface with finite extent. For comparison, however, we briefly discuss the diffraction by the sinusoidal surface with infinite extent, where we use the concept of the total diffraction cross section per unit surface introduced previously. To solve a case where the sinusoidal corrugation width is much...

We study a two-dimensional model for interacting colloids which is consistent with cluster states, adding a periodic corrugation potential and an external force. For different colloidal densities and different amplitude of the periodic corrugation potential we investigate the depinning from the static to the sliding regime. In the sliding states we characterize the competition between a dynamic...

Spin-orbit interaction in flat graphene is rather weak due to the symmetry of the lattice. However, substrate surface-corrugation can break this symmetry and induce a relatively large spin-orbit interaction. In this work we study spin transport in armchair graphene nanoribbons (AGNR) in the presence of substrate surface-corrugation. We employ the non-equilibrium green’s function along with a mu...

We present a one dimensional model for the development of cor-rugations in roads subjected to compressive forces from a flux of cars. The cars are modeled as damped harmonic oscillators translating with constant horizontal velocity across the surface, and the road surface is subject to diffusive relaxation. We derive dimensionless coupled equations of motion for the positions of the cars and th...

Graphene monolayers supported on oxide substrates have been demonstrated with superior charge mobility and thermal transport for potential device applications. Morphological corrugation can strongly influence the transport properties of the supported graphene. In this paper, we theoretically analyze the morphological stability of a graphene monolayer on an oxide substrate, subject to van der Wa...

Low-energy electron microscopy and microprobe diffraction are used to image and characterize corrugation in SiO(2)-supported and suspended exfoliated graphene at nanometer length scales. Diffraction line-shape analysis reveals quantitative differences in surface roughness on length scales below 20 nm which depend on film thickness and interaction with the substrate. Corrugation decreases with i...

We investigate the effect of stepped edge corrugations on the front-to-back ratio (F/B ratio) improvement for the antipodal DETSA. Three types of corrugation configurations with different combinations of slit length are investigated. The results revealed that the improvement in F/B ratio is directly related to the arrangement in corrugation configurations.