For a lower voltage drop one could use Schottky diodes, but what are the disadvantages of Schottky's?

In other words, why don't we always use Schottky diodes if they are so much better? What diode properties do Schottky diodes have that makes them unfit for certain applications?

Answer

They cost more, have higher reverse leakage current, and are physically larger according to a quick search. Of course they're much faster though :)

Looks like in a same size comparison they can't dissipate as much power as a typical power diode. Also with larger currents you lose that Vfw advantage. Oh and wiki says they normally have lower reverse voltage rating on the order of 50V.