Superlattice Based on Graphene on a Strip Substrate
P. V. Ratnikov (Lebedev Physical Institute, Russian Academy of, Sciences)

TL;DR
This paper investigates a graphene-based superlattice created by periodic band gap modulation on a strip substrate, analyzing its properties and deriving the dispersion relation using a transfer matrix model.
Contribution
It introduces a novel model for a graphene superlattice on a strip substrate and derives its dispersion relation using the transfer matrix method.
Findings
Dispersion relation between energy and momentum obtained
Advantages of the superlattice discussed
Potential problems identified
Abstract
A graphene-based superlattice formed due to the periodic modulation of the band gap has been investigated. Such a modulation is possible in graphene deposited on a strip substrate made of silicon oxide and hexagonal boron nitride. The advantages and some possible problems in the superlattice under consideration are discussed. A model describing such a superlattice is proposed and the dispersion relation between the energy and momentum of carriers has been obtained using the transfer matrix method within this model.
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