Since graphene has metallic bandgap, incorporation of carbon atoms should reduce the energy bandgap of the host material. Can the opposite behavior be found?
The carbon impurities may increase the scattering and defects, resulting in increased resistance. The exact thing about band gap would depend on impurities/carbon concentration.
Article Probing carbon impurities in hexagonal boron nitride epilayers
Beyond graphene, recently discovered two-dimensional (2D) materials possess semiconducting bandgaps ranging from the terahertz and mid-infrared in bilayer graphene and black phosphorus, visible in transition metal dichalcogenides, to the ultraviolet in hexagonal boron nitride. In particular, these 2D materials were demonstrated to exhibit highly tunable bandgaps, achieved via the control of layers number, heterostructuring, strain engineering, chemical doping, alloying, intercalation, substrate engineering, as well as an external electric field.
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