Holographic superconductor developed in BTZ black hole background with backreactions

Understand

We develop a holographic superconductor in BTZ black hole background with backreactions.

• We investigate the influence of the backreaction on the condensation of the scalar hair and the dynamics of perturbation in the background spacetime.
• When the Breitenlohner-Freedman bound is approached, we argue that only one of two possible operators can reflect the real property of the condensation in the holographic superconductor.
• This argument is supported by the investigation in dynamics.