Analytical and numerical study of backreacting one-dimensional holographic superconductors in the presence of Born-Infeld electrodynamics

Abstract

We analytically as well as numerically study the effects of Born-Infeld nonlinear electrodynamics on the properties of $(1+1)$-dimensional s-wave holographic superconductors. We relax the probe limit and further assume the scalar and gauge fields affect on the background spacetime. We thus explore the effects of backreaction on the condensation of the scalar hair. For the analytical method, we employ the Sturm-Liouville eigen value problem and for the numerical method, we employ the shooting method. We show that these methods are powerful enough to analyze the critical temperature and phase transition of the one dimensional holographic superconductor. We find out that increasing the backreaction as well as nonlinearity makes the condensation harder to form. In addition, this one-dimensional holographic superconductor faces with second order phase transition and their critical exponent has the mean field value $\beta =1/2$.

arXiv comment7 pages, two columns

References in corpus (50)

• Gauge Theory Correlators from Non-Critical String Theory
• Building an AdS/CFT superconductor
• Lectures on holographic methods for condensed matter physics
• Lecture Notes on Holographic Renormalization
• Holographic Superconductors
• Lectures on Holographic Superfluidity and Superconductivity
• Holographic Renormalization
• The (2+1)-Dimensional Black Hole
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Holographic Superconductors with Various Condensates
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Superconductors from Superstrings
• Introduction to Holographic Superconductors
• Holographic superconductors in the Born-Infeld electrodynamics
• On the Thermodynamic Geometry of BTZ Black Holes
• Quasinormal modes of scale dependent black holes in (1+2)-dimensional Einstein-power-Maxwell theory
• Holographic p-wave superconductors from Gauss-Bonnet gravity
• Scale dependent three-dimensional charged black holes in linear and non-linear electrodynamics
• 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
• Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity
• Quasinormal modes of black holes in Einstein-power-Maxwell theory
• Holographic superconductor developed in BTZ black hole background with backreactions
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• Entanglement Entropy and Complexity for One-Dimensional Holographic Superconductors
• Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
• 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
• Greybody factors for a minimally coupled scalar field in three-dimensional Einstein-power-Maxwell black hole background
• 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
• Effects of Backreaction on Power-Maxwell Holographic Superconductors in Gauss-Bonnet Gravity
• Conductivity of higher dimensional holographic superconductors with nonlinear electrodynamics
• d-Wave holographic superconductors with backreaction in external magnetic fields
• Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors
• Rotating BTZ Black Holes and One Dimensional Holographic Superconductors
• Holographic conductivity of holographic superconductors with higher order corrections
• Analytical Holographic Superconductor with Backreaction Using AdS3/CFT2
• One-dimensional backreacting holographic superconductors with exponential nonlinear electrodynamics
• 1+1-dimensional p-wave superconductors from intersecting D-branes
• 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

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