Quantum corrected hydrodynamic models for charge transport in graphene
Journal Article
·
· Annals of Physics
- Department of Mathematics and Computer Science, Università degli Studi di Catania, viale Andrea Doria 6, Catania, 95125 (Italy)
A quantum hydrodynamic model for charge transport in graphene is derived from a moment expansion of the Wigner–Boltzmann equation. The needed closure relations are obtained by adding quantum corrections based on the equilibrium Wigner function to the semiclassical model formulated in Camiola and Romano (2014) and Luca and Romano (2018) [2,3] by exploiting the Maximum Entropy Principle. The expression of the equilibrium Wigner function which takes into account the energy band of graphene has been obtained by solving the corresponding Bloch equation.
- OSTI ID:
- 22848415
- Journal Information:
- Annals of Physics, Journal Name: Annals of Physics Vol. 406; ISSN 0003-4916; ISSN APNYA6
- Country of Publication:
- United States
- Language:
- English
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