p-wave holographic superconductors with massive vector condensate in Born–Infeld electrodynamics

Abstract

AbstractIn this paper, we have studied the effect of Born–Infeld electrodynamics in holographic p-wave superconductors with massive vector condensation. We have analysed this model in the probe limit using a variational method known as the Stürm–Liouville eigenvalue approach. For this p-wave holographic superconductor model, we have calculated the critical temperature $$T_{c}$$Tc as well as the value of the condensation operator for two different choices of $$m^{2}$$m2. We have also pointed out the similarities and dissimilarities between this model for $$m^{2} = 0$$m2=0 and p-wave holographic superconductor model constructed out of Einstein–Yang–Mills theory. We have then computed the conductivity of these holographic superconductor models using a self-consistent approach and have shown that the DC conductivity diverges.