Analytical study of holographic superconductor in Born-Infeld electrodynamics with backreaction
arXiv:1601.04035 · doi:10.1016/j.physletb.2015.12.081
Abstract
We generalize the analytical investigation on the properties of -wave holographic superconductors in the presence of Born-Infeld nonlinear electrodynamics by taking the backreaction into account. We find that in the presence of nonlinear gauge field, one can still employ the analytical method when the backreaction is turned on. Our calculation is based on the Sturm-Liouville eigenvalue problem, which is a variational method. For the system under consideration, we obtain the relation between the critical temperature and the charge density. We find that both backreaction and Born-Infeld parameters decrease the critical temperature of the superconductor and make the condensation harder. At the ned of paper, we calculate the critical exponent associated with the condensation near the critical temperature and find that it has the universal value of the mean field theory.
arXiv comment11 pages, 2 tables, New refs added. The text was revised to remove the overlap with other papers. Accepted for publication in Phys. Lett. B. arXiv admin note: text overlap with arXiv:1502.00437, arXiv:1205.3543 by other authors
References in corpus (22)
- Building an AdS/CFT superconductor
- Introduction to Holographic Superconductors
- Holographic superconductors in the Born-Infeld electrodynamics
- Holographic p-wave superconductors from Gauss-Bonnet gravity
- Gravitational Backreaction Effects on the Holographic Phase Transition
- Holographic Superconductors in 3+1 dimensions away from the probe limit
- Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections
- Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
- Holographic Superconductors in Gauss-Bonnet gravity with Born-Infeld electrodynamics
- Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
- A Note on Gauss-Bonnet Holographic Superconductors
- On analytical study of holographic superconductors with Born-Infeld electrodynamics
- Holographic superconductor models with the Maxwell field strength corrections
- Holographic entanglement entropy in metal/superconductor phase transition with Born-Infeld electrodynamics
- Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
- Analytical calculation on critical magnetic field in holographic superconductors with backreaction
- Analytic study of properties of holographic superconductors away from the probe limit
- Holographic Superconductivity with Gauss-Bonnet gravity
- Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions
- An Analytic Analysis of Phase Transitions in Holographic Superconductors
- More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field
- Stability of Holographic Superconductors
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- Compact objects in conformal nonlinear electrodynamics
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- Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics
- Conductivity of the holographic p-wave superconductors with higher order corrections
- Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field
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- Spherical black holes with minimally coupled scalar cloud/hair in Einstein-Born-Infeld gravity
- Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor
- Structure and thermodynamics of charged nonrotating black holes in higher dimensions
- Gauss-Bonnet holographic superconductors in lower-dimensions
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- Building (1+1) holographic superconductors in the presence of non-linear Electrodynamics
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