I think that's a bit of a stretch, Catalunya is by itself in a huge problems (debt) and is also still a part of Spain, so you can't that simply separate it from the problems of the country.
It's true that Barcelona by itself is probably still doing pretty fine - but I would say that's for different reasons - there's no shortage of people from all over the world coming there to live/work/study, be it Erasmus students or business people (a lot of Germans my experience is telling). That keeps the renting market busy.
On the other hand, 680€ for a three-bed flat in Les Corts? That's insanely cheap, so either the OP found a great opportunity or the prices really dropped down in a last year (or, third possibility: I overvalue the attractiveness of Les Corts)