Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics

Understand

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors.

• We relax the probe limit and further assume the scalar and gauge fields affect on the background spacetime.
• We thus explore the effects of backreaction on the condensation of the scalar hair.
• For the analytical method, we employ the Sturm-Liouville eigen value problem and for the numerical method, we employ the shooting method.