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Novel type of superlattices based on gapless graphene with the alternating Fermi velocity

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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.

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Authors and Affiliations

  1. Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991, Russia

    P. V. Ratnikov & A. P. Silin

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  1. P. V. Ratnikov
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  2. A. P. Silin
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Correspondence to P. V. Ratnikov.

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Original Russian Text © P.V. Ratnikov, A.P. Silin, 2014, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 100, No. 5, pp. 349–356.

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Ratnikov, P.V., Silin, A.P. Novel type of superlattices based on gapless graphene with the alternating Fermi velocity. Jetp Lett. 100, 311–318 (2014). https://doi.org/10.1134/S0021364014170123

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