Abstract

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.

Highlights

  • The AdS/CFT duality has been an important theoretical input to study the physics of strongly coupled system [1]-[6]

  • The results indicate that for a particular value of the BI parameter b, the band gap energy decreases with increasing values of backreaction parameter κ

  • We have analytically computed the conductivity of holographic superconductors in the framework of Born-Infeld electrodynamics away from the probe limit

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Summary

Introduction

The AdS/CFT duality has been an important theoretical input to study the physics of strongly coupled system [1]-[6]. Holographic superconductors have been an important class of gravitation duals which have been studied extensively in the recent past [7]-[19]. These models have been found to reproduce some of the properties of strongly coupled superconductors. The importance of such work have been to study the effect of non-linear electrodynamics on holographic superconductors.

Basic formalism
Computation of conductivity
Conclusions

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