Abstract
In 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} as well as the value of the condensation operator for two different choices of m^{2}. We have also pointed out the similarities and dissimilarities between this model for m^{2} = 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.
Highlights
Inspired by the simple model of Abelian symmetry breaking around a charged black hole in anti de-Sitter (AdS) spacetime proposed in [3], a gravity dual model that mimicked the properties of a s-wave superconductor was developed in [4]
We have studied a holographic model of a pwave superconductor constructed from a massive vector field with the nonlinear Born–Infeld electrodynamics in the matter sector of the Lagrangian
Considering probe approximation, where matter does not backreact with the spacetime geometry of the background, we have worked with a planar Schwarzschild-AdS metric
Summary
Inspired by the simple model of Abelian symmetry breaking around a charged black hole in AdS spacetime proposed in [3], a gravity dual model that mimicked the properties of a s-wave superconductor was developed in [4]. Several studies have been carried out incorporating the effect of BI electrodynamics in holographic superconductors [20,21,22,23,24,25,26,27,28] Another motivation to consider the BI electrodynamics comes straight from the string theory where the BI electrodynamics describes the low energy behaviour of D branes [23]. There is another important gravity model with a charged vector field in the bulk as the vector order parameter that corresponds to the holographic p-wave superconductor. In this paper we have analytically obtained the critical temperature, the condensation operator value and the conductivity for the holographic p-wave superconductor model proposed in [14] in the presence of Born–Infeld electrodynamics. We have performed all our computations in the probe limit, where we can ignore the backreaction of the matter field in the metric
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