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There are a large number of atomically thin graphitic films with similarstructure to graphene. These films have a spread of bandgaps relating to theirionicity, and also to the substrate on which they are grown. Such films couldhave a range of applications in digital electronics where graphene is difficultto use. I use the dynamical cluster approximation to show how electron-phononcoupling between film and substrate can enhance these gaps in a way thatdepends on the range and strength of the coupling. One of the driving factorsin this effect is the proximity to a charge density wave instability forelectrons on a honeycomb lattice. The enhancement at intermediate coupling issufficiently large that spatially varying substrates and superstrates could beused to create heterostructures in thin graphitic films with position dependentelectron-phonon coupling and gaps, leading to advanced electronic components.

Enhancement of gaps in thin graphitic films for heterostructure formation