Analytical study of holographic superconductor in Born–Infeld electrodynamics with backreaction

Sheykhi, Ahmad; Shaker, Fatemeh

doi:10.1016/j.physletb.2015.12.081

Cited by 46 publications

(50 citation statements)

References 37 publications

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“…(2.12), we arrive at 17) where λ = ρ/r 2 + . Expanding (3.17) for small value of b leads to the following expression at the horizon (z = 1), 19) where T c (0) is the critical temperature at zero magnetic field.…”

Section: Effects Of An External Magnetic Field With Lnementioning

confidence: 99%

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Sheykhi

Shamsi

2016

Int J Theor Phys

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Based on the matching method, we explore the effects of adding an external magnetic field on the s-wave holographic superconductor when the gauge field is in the form of the logarithmic nonlinear source. First, we obtain the critical temperature as well as the condensation operator in the presence of logarithmic nonlinear electrodynamics and understand that they depend on the nonlinear parameter b. We show that the critical temperature decreases with increasing b, which implies that the nonlinear gauge field makes the condensation harder. Then, we turn on the magnetic field in the bulk and find the critical magnetic field, B c , in terms of the temperature, which also depends on the nonlinear parameter b. We observe that for temperature smaller than the critical temperature, T < T c , the critical magnetic field increases with increasing b and goes to zero as T → T c , independent of the nonlinear parameter b. In the limiting case where b → 0, all results restore those of the holographic superconductor with magnetic field in Maxwell theory.

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Section: Effects Of An External Magnetic Field With Lnementioning

confidence: 99%

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Sheykhi

Shamsi

2016

Int J Theor Phys

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“…Note that the rescaling of the bulk fields φ, ψ and the Born-Infeld coupling parameter b as φ → , [32]. For the matter fields to be regular, one requires φ(r + ) = 0 and ψ(r + ) to be finite at the horizon.…”

Section: Basic Formalismmentioning

confidence: 99%

Non-linear effects on the holographic free energy and thermodynamic geometry

Ghorai¹,

Gangopadhyay²

2017

EPL

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We have analytically investigated the effects of non-linearity on the free energy and thermodynamic geometry of holographic superconductors in 2+1−dimensions. The non-linear effect is introduced by considering the coupling of the massive charged scalar field with Born-Infeld electrodynamics. We then calculate the relation between critical temperature and charge density from two different methods, namely, the matching method and the divergence of the scalar curvature which is obtained by investigating the thermodynamic geometry of the model. Both the results indicate a decrease in the critical temperature with increase in the Born-Infeld parameter b.

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“…(30) and (45) into Eq. (15) and get an expression for F(z), and then converting it to the SturmLiouville equation form (32), results in…”

Section: Critical Temperature Of Gb Holographic Superconductor With Pmentioning

confidence: 99%

“…It was argued that in the Schwarzschild AdS black hole background, the higher nonlinear electrodynamics corrections make the condensation harder [24][25][26][27]. When the gauge field is in the form of Born-Infeld nonlinear electrodynamics, an analytical study, based on the Sturm-Liouville eigenvalue problem, of holographic superconductors in Einstein [28][29][30][31][32][33] and Gauss-Bonnet gravity [34][35][36][37] has been carried out. In the background of d-dimensional Schwarzschild AdS black hole, the properties of power-Maxwell holographic superconductors have been explored in the probe limit [38] and away from the probe limit [39].…”

Section: Introductionmentioning

confidence: 99%

Effects of backreaction on power-Maxwell holographic superconductors in Gauss–Bonnet gravity

2016

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We analytically and numerically investigate the properties of s-wave holographic superconductors by considering the effects of scalar and gauge fields on the background geometry in five-dimensional Einstein-Gauss-Bonnet gravity. We assume the gauge field to be in the form of the powerMaxwell nonlinear electrodynamics. We employ the SturmLiouville eigenvalue problem for analytical calculation of the critical temperature and the shooting method for the numerical investigation. Our numerical and analytical results indicate that higher curvature corrections affect condensation of the holographic superconductors with backreaction. We observe that the backreaction can decrease the critical temperature of the holographic superconductors, while the power-Maxwell electrodynamics and Gauss-Bonnet coefficient term may increase the critical temperature of the holographic superconductors. We find that the critical exponent has the mean-field value β = 1/2, regardless of the values of Gauss-Bonnet coefficient, backreaction and power-Maxwell parameters.

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Analytical study of holographic superconductor in Born–Infeld electrodynamics with backreaction

Cited by 46 publications

References 37 publications

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Non-linear effects on the holographic free energy and thermodynamic geometry

Effects of backreaction on power-Maxwell holographic superconductors in Gauss–Bonnet gravity

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