This reaction is caused by the ingredients in the Mentos and Diet Coke. The structure of the Mentos allow carbon dioxide bubbles to form extremely rapidly. When this happens, you get the physical reaction of the coke exploding out of the bottle. Other carbonated drinks also work with this experiment. (Hiskey)
One thing that contribute to this explosion is the structure of the Mentos. Mentos are fairly dense and sink rapidly, quickly creating bubbles that seed further