Amplitude modulator pin diodes containing an InGaAs/InAlAs multiple quantum well structure were studied. It often happens that no photocurrent is observed for such structures when measurements are carried out at low temperatures. In order to determine the origin of this anomaly, their I versus V characteristics were investigated as a function of temperature and of the energy of the incident radiation. It is found that the reason for that is the existence of carrier traps either at the interfaces or within the quantum wells, which prevent the generation of a photocurrent. Moreover, the traps' activation energy correlates with the Ga content in the InGaAs quantum well alloy.