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

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.

arXiv comment19 pages

References in corpus (20)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Building an AdS/CFT superconductor
• Breaking an Abelian gauge symmetry near a black hole horizon
• The gravity dual of a p-wave superconductor
• Holographic superconductors in the Born-Infeld electrodynamics
• Analytic calculation of properties of holographic superconductors
• Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics
• A Holographic P-wave Superconductor Model
• Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
• Analytic study of properties of holographic p-wave superconductors
• Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
• Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
• Analytical Studies on Holographic Superconductors in Gauss-Bonnet Gravity
• Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
• p-wave Holographic Superconductors from Born-Infeld Black Holes
• Analytic study of properties of holographic superconductors away from the probe limit
• Conductivity of holographic superconductors in Born-Infeld electrodynamics
• Non-linear effects on the holographic free energy and thermodynamic geometry
• Analytic investigation of rotating holographic superconductors

Cited by in corpus (7)

• Effects of massive gravity on $p$-wave holographic superconductor
• Vortices in a rotating holographic superfluid with Lifshitz scaling
• An analytical approach to compute conductivity of p-wave holographic superconductors
• Noncommutative $p$-wave holographic superconductors
• Momentum dependent gap in holographic superconductors revisited
• Novel vortices and the role of complex chemical potential in a rotating holographic superfluid
• Born-Infeld corrections to holographic transport coefficients with spatially modulated chemical potential