not quite ice. they arent efficient unfortunately. very few methods for active cooling when radiating heat to ambient air ultimately are good at efficiency, same is true with pelts. you need to make sure you need a high wattage pelt and have a separate PS for it. a general rule of thumb is to select a TEC that is around 2.5 times the wattage that your CPU generates. for most peeps with modern processors that means a 225W TEC and a seperate power supply. if you dont have enough power through the pelt, you cant transfer the heat and its a waste.
the other problem with TEC's is that you need to insulate the socket of the chip with something. the cold side gets below zero (with the exception of the contact point area) and at those temps, water will condense and drip on the motherboard and fry it... also, because TECs generate lots of power, air cooled solutions usually cannot rid themselves of that much raw heat...