Quantum Energy-Transport and Drift-Diffusion Models for Electron Transport in Graphene An Approach by The Wigner Function

doi:10.21203/rs.3.rs-580204/v1

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Research Article

Quantum Energy-Transport and Drift-Diffusion Models for Electron Transport in Graphene An Approach by The Wigner Function

https://doi.org/10.21203/rs.3.rs-580204/v1

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Journal Publication

published 11 Nov, 2021

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The present work aims at formulating quantum energy-transport and drift- diffusion equations for charge transport in graphene from a quantum hydrodynamic model proposed in [1], obtained from the Wigner-Boltzmann equation via the mo- ment method. In analogy with the semiclassical case, we are confident that the energy- transport and drift-diffusion models have mathematical properties which allow an easier numerical treatment.

Computational Mathematics

Computer Architecture and Engineering

Electrical Engineering

Electrophysics

Wigner equation

Graphene

Wigner equilibrium function