AtoMaki, I'm not sure about this, but aren't only Astropaths bound?
Nope. A Bound psyker is anyone who has firm control over his psychic abilities. A rogue psyker with strong self-discipline is also a Bound psyker though he isn't Sanctioned. A Space Marine Librarian is also a Bound but he isn't Sanctioned. Most Xeno psykers (like the Eldar) are also Bound but not Sanctioned.
Sorry, but I'm pretty sure that's not the case:
http://wh40k.lexicanum.com/wiki/Soul_Binding#.UpyHuNKko3I
Sould binding is actually a rite binding the soul of a psyker to a stronger entity, giving them some measure of safety while manipulating the Warp. I already knew that Astropaths were soul bind, as it is necessary for a human mind to project itself between planets.
However, I believe that I read in some DH book that psykers can be bound to daemons and such, granting similar effects.
I am not sure about that part, however.