  In this paper, we have analytically computed the conductivity of holographic
superconductors in the framework of Born-Infeld electrodynamics taking into
account the backreaction of the matter fields on the bulk spacetime metric. The
effect of the Born-Infeld electrodynamics is incorporated in the metric. The
band gap energy is found to be corrected by the backreaction and Born-Infeld
parameters. The conductivity expression is then compared with that obtained
from a self consistent approach.
