Can QED solve all solid state problems?

[HAMJOOP]

To my understanding, QED is about electromagnetic interaction, and in a solid system, the interaction is only electromagnetic

So why there are stills lots of research in solid state physics ? Is there something not explained by QED ?

 

[Orodruin]

Why do people still do brain research if the biochemical processes involved are understood? Why do we do rigid body mechanics if we understand continuum mechanics properly?