Holographic insulator/superconductor phase transition with Weyl corrections

Zhao, Zixu; Pan, Qiyuan; Jing, Jiliang

doi:10.1016/j.physletb.2013.01.030

Cited by 54 publications

(55 citation statements)

References 57 publications

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“…It is found that Weyl corrections modify the critical temperature at which holographic superconductors occur [32] and changes the order of the phase transition of the holographic superconductor [33]. The effects of Weyl corrections on the phase transition between the holographic insulator and superconductor has been also investigated in [36]. Recently, we [37] studied the dynamical evolution of the electromagnetic perturbation coupling to the Weyl tensor in the Schwarzschild black hole spacetime and analyze the effect of the Weyl corrections on the stability of the black hole.…”

Section: Introductionmentioning

confidence: 99%

Rotating charged black hole with Weyl corrections

Chen

Jing

2014

Phys. Rev. D

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We present firstly a four-dimensional spherical symmetric black hole with small Weyl corrections and find that with increasing Weyl corrections the region of the event horizon existence for the black hole in the parameter space increases for the negative Weyl coupling parameter and decreases for the positive one. Moreover, we also obtain a rotating charged black hole with weak Weyl corrections by the method of complex coordinate transformation. Our results show that the sign of Weyl coupling parameter α yields the different spatial topology of the event horizons for the black hole with its parameters lied in some special regions in the parameter space. We also analyze the dependence of the ergosphere on the Weyl coupling parameter α and find that with the increase of the Weyl corrections the ergosphere in the equatorial plane becomes thick for a black hole with α > 0, but becomes thin in the case with α < 0, which means that the energy extraction become easier in the background of a black hole with the positive Weyl coupling parameter, but more difficult in the background of a black hole with the negative one.

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Section: Introductionmentioning

confidence: 99%

Rotating charged black hole with Weyl corrections

Chen

Jing

2014

Phys. Rev. D

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“…The studies in Gauss-Bonnet gravity were presented in [26,30], the effects of the Weyl corrections on p-wave holographic phase transitions [27] were studied in [28]. The p-wave holographic superconductors in different gravity backgrounds [29], and in the presence of non-linear electrodynamics [31,32] and other non-trivial conditions [33][34][35] have been elaborated.…”

Section: Jhep03(2016)215mentioning

confidence: 99%

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

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Abstract:The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the first two models in the theory with dark matter sector. It turns out that the effect of dark matter on the Maxwell-vector p-wave model is the same as on the s-wave superconductor studied earlier.For the non-Abelian model we study the phase transitions between p-wave holographic insulator/superconductor and metal/superconductor. Studies of marginally stable modes in the theory under consideration allow us to determine features of p-wave holographic droplet in a constant magnetic field. The dependence of the superconducting transition temperature on the coupling constant α to the dark matter sector is affected by the dark matter density ρ D . For ρ D > ρ the transition temperature is a decreasing function of α. The critical chemical potential µ c for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter µ D and for µ D = 0 is a decreasing function of α.

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“…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. Other works on holographic dual models in the presence of nonlinear corrections to the Maxwell electrodynamics can also be found in [68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83]. These discussions were concentrated on the equilibrium state both in the bulk and boundary.…”

Section: Jhep02(2016)116mentioning

confidence: 99%

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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Holographic insulator/superconductor phase transition with Weyl corrections

Cited by 54 publications

References 57 publications

Rotating charged black hole with Weyl corrections

Rotating charged black hole with Weyl corrections

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

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