Using shockley diode formulae for a pn homo junction write

Question

1. Using the Shockley diode formulae for a p/n homo junction, write down without algebra the diode current equation for hetero junction p/n diode with a valence discontinuity of ΔE_V and a conduction band discontinuity of ΔE_C.

2. If mobilities are identical, what ΔE_G, ΔE_V and ΔE_C, are necessary to offset a ratio of N_DD/N_AA such that the minority carrier current on the two sides (two quasi-neutral layers) are equal? Assume both layers are thick compared with respective minority carrier diffusion length.