Holographic superconductors in Born–Infeld electrodynamics and external magnetic field

Gangopadhyay, Sunandan

doi:10.1142/s0217732314500886

Cited by 42 publications

(46 citation statements)

References 43 publications

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“…We see that the critical temperature decrease with increasing b, which implies that the nonlinear electrodynamics makes the condensation harder. This is consistent with the results of [27,33]. Comparing the results obtained in this table from matching method, with those obtained from the numerical method [34] and those obtained from Sturm-Liouville variational method for Born-Infeld nonlinear electrodynamics [35] shows that the Sturm-Liouville method yields better results than the matching method.…”

Section: (234)supporting

confidence: 89%

“…Besides, B c of Ref. [27] does not goes to zero as T → T c , while according to the definition, we should have B c → 0 in the limiting case where T → T c . Using the matching method in the probe limit, some properties of holographic superconductor in Gauss-Bonnet gravity with Born-Infeld electrodynamics and in the presence of a critical magnetic field were investigated in [28].…”

Section: Introductionmentioning

confidence: 93%

“…However, they have earned renewed attention over past several years since these theories naturally arise in the low-energy limit of the heterotic string theory [25,26]. Recently, the response of a holographic superconductor to an external magnetic field in the presence of Born-Infeld nonlinear electrodynamics was investigated by applying a simple analytical approach based on the matching of the solutions to the field equations near the horizon and near the asymptotic AdS region [27]. Unfortunately, the final result obtained for the critical magnetic field in Eq.…”

Section: Introductionmentioning

confidence: 99%

“…[27] is not correct, unless for the Maxwell case where b = 0. Indeed, one can easily check that B c derived in [27] goes to zero as temperature tends to zero, while we expect B c approaches a finite value as T goes to zero. Besides, B c of Ref.…”

Section: Introductionmentioning

confidence: 99%

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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: (234)supporting

confidence: 89%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Sheykhi

Shamsi

2016

Int J Theor Phys

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“…Considering three types of nonlinear electrodynamics, namely, Born-Infeld, Logarithmic and Exponential nonlinear electrodynamics, and using numerical methods, it has been observed that, in the Schwarzschild AdS black hole background, the higher nonlinear electrodynamics corrections make the condensation harder [25,26]. The effects of an external magnetic field on the holographic superconductors in the presence of nonlinear corrections to the usual Maxwell action were examined in [27,28]. Analytical study of holographic superconductors in Born-Infeld electrodynamics have been carried out in [29][30][31].…”

Section: Jhep04(2016)058mentioning

confidence: 99%

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Sheykhi

Salahi

Montakhab

2016

J. High Energ. Phys.

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Abstract:We provide an analytical as well as a numerical study of the holographic s-wave superconductors in Gauss-Bonnet gravity with Power-Maxwell electrodynamics. We limit our study to the case where scalar and gauge fields do not have an effect on the background metric. We use a variational method, based on Sturm-Liouville eigenvalue problem for our analytical study, as well as a numerical shooting method in order to compare with our analytical results. Interestingly enough, we observe that unlike Born-Infeld-like nonlinear electrodynamics which decrease the critical temperature compared to the linear Maxwell field, the Power-Maxwell electrodynamics is able to increase the critical temperature of the holographic superconductors in the sublinear regime. We find that requiring the finite value for the gauge field on the asymptotic boundary r → ∞, restricts the power parameter, q, of the Power-Maxwell field to be in the range 1/2 < q < (d − 1)/2. Our study indicates that it is quite possible to make condensation easier as q decreases in its allowed range. We also find that for all values of q, the condensation can be affected by the Gauss-Bonnet coefficient α. However, the presence of the Gauss-Bonnet term makes the transition slightly harder. Finally, we obtain an analytic expression for the order parameter and thus obtain the associated critical exponent near the phase transition. We find that the critical exponent has its universal value of β = 1/2 regardless of the parameters q, α as well as dimension d, consistent with mean-field values obtained in previous studies.

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p-wave holographic superconductors from Born-Infeld black holes

Chaturvedi

Sengupta

2015

J. High Energ. Phys.

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We obtain (2+1) dimensional p-wave holographic superconductors from charged Born-Infeld black holes in the presence of massive charged vector fields in a bulk AdS 4 Einstein-Born-Infeld theory through the AdS 4 -CF T 3 correspondence. Below a certain critical transition temperature the charged black hole develops vector hair that corresponds to charged vector condensate in the strongly coupled (2+1) dimensional boundary field theory that breaks both the U(1) symmetry as well as the rotational invariance. The holographic free energy is computed for the boundary field theory which shows that the vector order parameter exhibits a rich phase structure involving zeroth order, first order, second order and retrograde phase transitions for different values of the backreaction and the Born-Infeld parameters. We numerically compute the ac conductivity for the p-wave superconducting phase of the strongly coupled (2+1) dimensional boundary field theory which also depends on the relative values of the parameters in the theory.

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Holographic superconductors in Born–Infeld electrodynamics and external magnetic field

Cited by 42 publications

References 43 publications

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

p-wave holographic superconductors from Born-Infeld black holes

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