Notes on holographic superconductor models with the nonlinear electrodynamics

Zhao, Zixu; Pan, Qiyuan; Chen, Songbai; Jing, Jiliang

doi:10.1016/j.nuclphysb.2013.02.006

Cited by 78 publications

(70 citation statements)

References 67 publications

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“…In [65], the author discussed a simple example of a Born-Infeld-like Lagrangian with a logarithmic term which can be added as a correction to the original Born-Infeld one. Replacing the Maxwell field with the nonlinear electromagnetic field, it was disclosed from the behavior of the boundary operator in the CFT that the nonlinearity in Born-Infeld and the logarithmic form fields can make holographic superconductor difficult to form [19,66]. In the corresponding bulk spacetime, it was observed that the nonlinearity of the electromagnetic field can hinder the growing mode to appear in the scalar perturbation [67], which is consistent with the phenomenon on the boundary CFT.…”

Section: Jhep02(2016)116supporting

confidence: 56%

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

Liu

Gong

Wang

2016

J. High Energ. Phys.

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Abstract:We study the non-equilibrium condensation process in a holographic superconductor with nonlinear corrections to the U(1) gauge field. We start with an asymptotic Anti-de-Sitter(AdS) black hole against a complex scalar perturbation at the initial time, and solve the dynamics of the gravitational systems in the bulk. When the black hole temperature T is smaller than a critical value T c , the scalar perturbation grows exponentially till saturation, the final state of spacetime approaches to a hairy black hole. In the bulk theory, we find the clue of the influence of nonlinear corrections in the gauge filed on the process of the scalar field condensation. We show that the bulk dynamics in the non-equilibrium process is completely consistent with the observations on the boundary order parameter. Furthermore we examine the time evolution of horizons in the bulk non-equilibrium transformation process from the bald AdS black hole to the AdS hairy hole. Both the evolution of apparent and event horizons show that the original AdS black hole configuration requires more time to finish the transformation to become a hairy black hole if there is nonlinear correction to the electromagnetic field. We generalize our non-equilibrium discussions to the holographic entanglement entropy and find that the holographic entanglement entropy can give us further understanding of the influence of the nonlinearity in the gauge field on the scalar condensation.

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Section: Jhep02(2016)116supporting

confidence: 56%

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

Liu

Gong

Wang

2016

J. High Energ. Phys.

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“…Second, if E || B 0 (parallel polarization), from (19) E 2 = 0, and from (20) we get k 2 w 2 = ε 33 μ 22 . In this case, the corresponding dispersion relation becomes…”

Section: Born-infeld-like Modelmentioning

confidence: 96%

“…Additionally, nonlinear electroa e-mail: patricio.gaete@usm.cl b e-mail: helayel@cbpf.br dynamics (BI) has also been investigated in the context of gravitational physics [17,18]. Actually, in addition to BornInfeld theory, other types of nonlinear electrodynamics have been studied in the context of black hole physics [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Remarks on nonlinear electrodynamics

2014

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We consider both generalized Born-Infeld and exponential electrodynamics. The field energy of a pointlike charge is finite only for Born-Infeld-like electrodynamics. However, both Born-Infeld-type and exponential electrodynamics display the vacuum birefringence phenomenon. Subsequently, we calculate the lowest-order modifications to the interaction energy for both classes of electrodynamics, within the framework of the gauge-invariant path-dependent variables formalism. These are shown to result in longrange (1/r 5 -type) corrections to the Coulomb potential. Once again, for their noncommutative versions, the interaction energy is ultraviolet finite.

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“…cal temperature of a holographic superconductor [48]. Furthermore, in recent studies on holographic superconductors, it has been shown that the exponential nonlinear electrodynamics can increase the critical values of the external magnetic field as the temperature goes to zero [49].…”

Section: Jhep03(2016)037mentioning

confidence: 99%

“…[46] and [51], respectively. Besides, it was argued that in applications of the AdS/CFT correspondence to superconductivity, exponential nonlinear electrodynamics, makes crucial effects on the condensation as well as the critical temperature of the superconductor [48]. It was also recently observed that, in the holographic superconductor, the exponential nonlinear electrodynamics can increase the critical values of the external magnetic field as the temperature goes to zero [49].…”

Section: Jhep03(2016)037 4 Summary and Concluding Remarksmentioning

confidence: 99%

Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics

Zangeneh¹,

Dehyadegari²,

Sheykhi³

et al. 2016

J. High Energ. Phys.

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In this paper, we construct a new class of topological black hole Lifshitz solutions in the presence of nonlinear exponential electrodynamics for Einstein-dilaton gravity. We show that the reality of Lifshitz supporting Maxwell matter fields exclude the negative horizon curvature solutions except for the asymptotic AdS case. Calculating the conserved and thermodynamical quantities, we obtain a Smarr type formula for the mass and confirm that thermodynamics first law is satisfied on the black hole horizon. Afterward, we study the thermal stability of our solutions and figure out the effects of different parameters on the stability of solutions under thermal perturbations. Next, we apply the gauge/gravity duality in order to calculate the ratio of shear viscosity to entropy for a three-dimensional hydrodynamic system by using the pole method. Furthermore, we study the behavior of holographic conductivity for two-dimensional systems such as graphene. We consider linear Maxwell and nonlinear exponential electrodynamics separately and disclose the effect of nonlinearity on holographic conductivity. We indicate that holographic conductivity vanishes for z > 3 in the case of nonlinear electrodynamics while it does not in the linear Maxwell case. Finally, we solve perturbative additional field equations numerically and plot the behaviors of real and imaginary parts of conductivity for asymptotic AdS and Lifshitz cases. We present experimental results match with our numerical ones.

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Notes on holographic superconductor models with the nonlinear electrodynamics

Cited by 78 publications

References 67 publications

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

Remarks on nonlinear electrodynamics

Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics

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