Novel Type of Superlattices Based on Gapless Graphene with the Alternating Fermi Velocity

Abstract

We study a novel type of graphene-based superlattices formed owing to a periodic modulation of the Fermi surface. Such a modulation is possible for graphene deposited on a striped substrate made of materials with substantially different values of the dc permittivity. Similar superlattices appear also in graphene sheets applied over substrates with a periodic array of parallel grooves. We suggest a model describing such superlattices. Using the transfer-matrix technique, we determine the dispersion relation and calculate the energy spectrum of these superlattices. We also analyze at a qualitative level the current--voltage characteristics of the system under study.

7 pages, 6 figures, 35 references

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Cited by in corpus (5)

• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Surface Plasmon Polaritons in Planar Graphene Superlattices
• Effects of Fermi velocity engineering in magnetic graphene superlattices
• Plasmons in a Planar Graphene Superlattice
• Pseudospin Splitting of the Energy Spectrum of Planar Polytype Graphene-Based Superlattices