Conductivity of the one-dimensional holographic p-wave superconductors in the presence of nonlinear electrodynamics

Abstract

We investigate analytically as well as numerically effects of nonlinear Born-Infeld (BI) electrodynamics on the properties of (1+1)-dimensional holographic $p$-wave superconductor in the context of gauge/gravity duality. We consider the case in which the gauge and vector fields backreact on the background geometry. We apply the Sturm-Liouville eigenvalue problem for the analytical approach as well as the shooting method for the numerical calculations. In both methods, we find out the relation between critical temperature $T_c$ and chemical potential $\mu$ and show that both approaches are in good agreement with each other. We find that if one strengthen the effect of backreaction as well as nonlinearity, the critical temperature decreases which means that the condensation is harder to form. We also explore the conductivity of the one-dimensional holographic $p$-wave superconductor for different values of b and $T/T_c$. We find out that the real and imaginary parts of the conductivity have different behaviors in higher dimensions. The effects of different values of temperature is more apparent for larger values of nonlinearity parameter. In addition, for the fixed value of $T/T_c$ by increasing the effect of nonlinearity we observe larger values for Drude-like peak in real part of conductivity and deeper minimum for imaginary part.

arXiv commentarXiv admin note: text overlap with arXiv:1901.10540

References in corpus (57)

• Gauge Theory Correlators from Non-Critical String Theory
• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Holographic Superconductors
• Lectures on Holographic Superfluidity and Superconductivity
• The (2+1)-Dimensional Black Hole
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• The gravity dual of a p-wave superconductor
• Holographic Superconductors with Various Condensates
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Superconductors from Superstrings
• Charged black points in General Relativity coupled to the logarithmic $U(1)$ gauge theory
• Holographic superconductors in the Born-Infeld electrodynamics
• Pseudogap and time reversal breaking in a holographic superconductor
• On the Thermodynamic Geometry of BTZ Black Holes
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Introduction to Holographic Superconductor Models
• Holographic helical superconductors
• Analytical study on holographic superconductors in external magnetic field
• Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics
• A Holographic P-wave Superconductor Model
• Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• A Holographic Study on Vector Condensate Induced by a Magnetic Field
• Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
• p-Wave holographic superconductors with Weyl corrections
• Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity
• Holographic Phase Transitions of P-wave Superconductors in Gauss-Bonnet Gravity with Back-reaction
• Holographic superconductor developed in BTZ black hole background with backreactions
• Analytic study of properties of holographic p-wave superconductors
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• On analytical study of holographic superconductors with Born-Infeld electrodynamics
• Analytical study on holographic superconductors for Born-Infeld electrodynamics in Gauss-Bonnet gravity with backreactions
• Analytical study of holographic superconductor in Born-Infeld electrodynamics with backreaction
• Building a Holographic Superconductor with Higher-derivative Couplings
• Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics
• Analytical and Numerical Study of Gauss-Bonnet Holographic Superconductors with Power-Maxwell Field
• Supercurrent in p-wave Holographic Superconductor
• Effects of Backreaction on Power-Maxwell Holographic Superconductors in Gauss-Bonnet Gravity
• Conductivity of higher dimensional holographic superconductors with nonlinear electrodynamics
• p-wave Holographic Superconductors from Born-Infeld Black Holes
• A Holographic Chiral p_x + ip_y Superconductor
• d-Wave holographic superconductors with backreaction in external magnetic fields
• Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics
• Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors
• Holographic conductivity of holographic superconductors with higher order corrections
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Analytical Holographic Superconductor with Backreaction Using AdS3/CFT2
• One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics
• A Maxwell-vector p-wave holographic superconductor in a particular background AdS black hole metric
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• One dimensional s-wave holographic superconductor with supercurrent
• One-dimensional backreacting holographic p-wave superconductors
• Holographic superconductor with nonlinear arcsin-electrodynamics
• Holographic Symmetry-Breaking Phases in AdS${}_3$/CFT${}_2$
• Holographic P-wave Superconductors in 1+1 Dimensions
• Holographic insulator/superconductor transitions in the three dimensional AdS soliton

Cited by in corpus (4)

• Effects of massive gravity on $p$-wave holographic superconductor
• Gauss-Bonnet holographic superconductors in lower-dimensions
• Holographic paramagnetic-ferromagnetic phase transition of Power-Maxwell-Gauss-Bonnet black holes
• Lifshitz scaling effects on the holographic paramagnetic-ferromagnetic phase transition