Holographic superconductors with various condensates

Abstract

We extend earlier treatments of holographic superconductors by studying cases where operators of different dimension condense in both $2+1$ and $3+1$ superconductors. We also compute a correlation length. We find surprising regularities in quantities such as ${\ensuremath{\omega}}_{g}/{T}_{c}$ where ${\ensuremath{\omega}}_{g}$ is the gap in the frequency dependent conductivity. In special cases, new bound states arise corresponding to vector normal modes of the dual near-extremal black holes.