N. Benabdallah et al., ON A MATHEMATICAL-MODEL FOR HOT-CARRIER INJECTION IN SEMICONDUCTORS, Mathematical methods in the applied sciences, 17(15), 1994, pp. 1193-1212
We study a collisionless transport model for electrons in a semiconduc
tor, and we perform an asymptotic analysis for low temperatures or lar
ge applied biases. We derive analytic relations for the built-in poten
tial and for the current which flows through the structure.