Caussignac, P.
Descloux, J.
Yamnahakki, A.
Simulation of some quantum models for semiconductors
Mathematical Models & Methods in Applied Sciences
0218-2025
12
8
1049-1074
Three different existing steady-state models with quantum correction for simulating the resonant tunnelling diode are summarized. Numerical methods and a theoretical argument for one of the models are briefly described. Results of simulation axe focused on the capability of reproducing the negative differential resistivity.
quantum hydrodynamical model;
semiconductor equations;
numerical;
simulation;
resonant;
tunnelling diode;
Schrodinger-Poisson problem;
bifurcations;
DRIFT-DIFFUSION MODEL;
HYDRODYNAMIC MODEL;
BOUNDARY-CONDITIONS;
ELECTRON-DENSITY;
DEVICES;
EQUILIBRIUM;
TRANSPORT;
EQUATIONS;
SYSTEMS;
2002