I've gone through undergrad courses of QFT, Solid State Physics and Quantum Statistical Physics but the first one didn't cross path with second and third so I only got taste in QFT applications in Solid State Physics through reading Zee's "QFT in a nutshell". My first impressions was WOW! Solid state physics looks far more natural and elegant when we look at it through fields (especially when I remember numerous blackboards and cumbersome maths professor used for exposition of BCS). Now, I know that discretization of field theory is common in QCD (in fact, to my knowledge, it is predominant way of doing computational QCD). While searching the net for lattice field theory applications in Solid State Physics I couldn't find references to some significant work in this area. Is there any work being done there, and is there any purpose to moving lattice approach to solid state physics with DFT being so popular and successful? I would really like to get some references to some work (if there are any). Thanks in advance.