Graphene on graphene antidot lattices: Electronic and transport properties
S{\o}ren Schou Gregersen, Jesper Goor Pedersen, Stephen R. Power, and, Antti-Pekka Jauho

TL;DR
This paper introduces a novel graphene heterostructure called GOAL, where single-layer graphene is placed on a graphene antidot lattice, enabling band structure engineering and tunable electronic properties for potential electronic applications.
Contribution
The study presents the design and analysis of GOAL structures, demonstrating how their electronic and transport properties can be tailored through geometry and external fields.
Findings
Linearly dispersing bands with high mobility can be achieved.
Band gaps can be induced with a perpendicular electric field.
General principles for designing GOALs are established.
Abstract
Graphene bilayer systems are known to exhibit a band gap when the layer symmetry is broken, by applying a perpendicular electric field. The resulting band structure resembles that of a conventional semiconductor with a parabolic dispersion. Here, we introduce a novel bilayer graphene heterostructure, where single-layer graphene is placed on top of another layer of graphene with a regular lattice of antidots. We dub this class of graphene systems GOAL: graphene on graphene antidot lattice. By varying the structure geometry, band structure engineering can be performed to obtain linearly dispersing bands (with a high concomitant mobility), which nevertheless can be made gapped with the perpendicular field. We analyze the electronic structure and transport properties of various types of GOALs, and draw general conclusions about their properties to aid their design in experiments.
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