The multiple-quantum-well (MQW) phototransistor is considered theoreti
cally. The MQW phototransistor utilizes intersub-band optical absorpti
on and exhibits giant photocurrent gain which can lead to very high re
sponsivity and detectivity. This effect is due to the thermionic injec
tion of hot electrons across the emitter barrier and fast electron tra
nsit through the MQW base. An analytic theory of the MQW phototransist
or utilizing parameters evaluated by Monte Carlo simulation is propose
d. Transition from near ballistic hot electron transport to diffusive
transport decreases the responsivity but its value can be significant
in this case as well.