Simulation of a resonant tunneling diode using an entropic quantum drift-diffusion model

Pierre Degond (1) , Samy Gallego (1) , Florian Méhats (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 IRMAR - Institut de Recherche Mathématique de Rennes

We present an entropic Quantum Drift Diffusion model (eQDD). Some links between this model and other existing models are exhibited, especially with the Classical Drift-Diffusion (CDD) model, the Density Gradient (DG) model and the Schr¨odinger-Poisson model (SP). Numerical results show that the model captures important features concerning the modeling of a resonant tunneling diode. To finish, some comparisons between the models stated above are realized.

Mots clés: Entropic quantum drift-diffusion; Density-gradient; Schrödinger-poisson; Resonant tunneling diode; Current-voltage characteristics

Pierre Degond, Samy Gallego, Florian Méhats. Simulation of a resonant tunneling diode using an entropic quantum drift-diffusion model. Journal of Computational Electronics, 2007, 6 (1-3), pp.133-136. ⟨10.1007/s10825-006-0088-4⟩. ⟨hal-00724962⟩