  We construct a holographic two-band superconductor model with interband
Josephson coupling. We investigate the effects the Josephson coupling has on
the superconducting condensates and the critical temperature for their
formation numerically, as well as analytically where possible. We calculate the
AC conductivity and find it qualitatively similar to the single band
superconductor. We investigate the nodal structure of our holographic two-band
superconductor from the low temperature behavior of the thermal conductivity
and find it nodeless.
