Minimal Model for an Unbalanced Holographic

We describe the simplest holographic model for an s-wave unbalanced superconductor in 2+ 1 dimensions. We study its phase diagram and linear response features with particular attention to the possibility of spatially modulated phases (LOFF) and mixed spin-electric properties. The normal phase of the model at hand allows us to analyze a strong-coupling generalization of Mott two-current model for spintronic systems; the superconducting phase features an interesting DC spin-superconductivity without spin-symmetry breaking. Proceedings of the Corfu Summer Institute 201