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Discontinuous Galerkin approach for the simulation of charge transport in graphene

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Abstract

The Boltzmann equation for charge transport in monolayer graphene is numerically solved by using a discontinuous Galerkin method. The numerical fluxes are based on a uniform non oscillatory reconstruction. The numerical scheme has been tested by simulating the electron dynamics in a graphene field effect transistor. To the best of our knowledge the presented simulations are the first ones using a full Boltzmann equation in graphene devices.

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Acknowledgements

The authors acknowledge the support from INdAM (GNFM) and from Università degli Studi di Catania, Piano della Ricerca 2016/2018 Linea di intervento 2. The author G.N. acknowledges the support from Progetto Giovani GNFM 2019, Modelli matematici, numerici e simulazione del trasporto di cariche e fononi nel grafene.

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  1. Department of Mathematics and Computer Science, University of Catania, Viale A. Doria, 6, 95125, Catania, Italy

    Giovanni Nastasi & Vittorio Romano

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  1. Giovanni Nastasi
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  2. Vittorio Romano
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Correspondence to Vittorio Romano.

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Nastasi, G., Romano, V. Discontinuous Galerkin approach for the simulation of charge transport in graphene. Ricerche mat 70, 149–165 (2021). https://doi.org/10.1007/s11587-020-00530-8

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  • DOI: https://doi.org/10.1007/s11587-020-00530-8

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