Holographic vector superconductor in Gauss–Bonnet gravity

Lu, Jun-Wang; Wu, Yabo; Cai, Tong; Hai-min, Liu; Ren, Yinshuan; Liu, Mo-Lin

doi:10.1016/j.nuclphysb.2016.01.010

Cited by 17 publications

(26 citation statements)

References 30 publications

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“…Other generalized investigations based on the effects of the curvature correction on the holographic dual models can be found, for example, in refs. [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36].…”

Section: Jhep12(2020)192mentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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We investigate the neutral AdS black-hole solution in the consistent D → 4 Einstein-Gauss-Bonnet gravity proposed in [K. Aoki, M.A. Gorji, and S. Mukohyama, Phys. Lett. B810 (2020) 135843] and construct the gravity duals of (2 + 1)-dimensional superconductors with Gauss-Bonnet corrections in the probe limit. We find that the curvature correction has a more subtle effect on the scalar condensates in the s-wave superconductor in (2 + 1)-dimensions, which is different from the finding in the higher-dimensional superconductors that the higher curvature correction makes the scalar hair more difficult to be developed in the full parameter space. However, in the p-wave case, we observe that the higher curvature correction always makes it harder for the vector condensates to form in various dimensions. Moreover, we note that the higher curvature correction results in the larger deviation from the expected relation in the gap frequency ωg/Tc ≈ 8 in both (2 + 1)-dimensional s-wave and p-wave models.

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Section: Jhep12(2020)192mentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Qiao

Ouyang

Wang

et al. 2020

J. High Energ. Phys.

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“…Besides, we evaluate the Gibbs free energies of the system for both the superconducting and normal phases by using Eqs. (22) and (23). Since other choices will not qualitatively change our results, we make use of the specific choices of parameters with k 0 = √ 3, 2 √ 3 with α = 100 and m 2 = −3/4.…”

Section: Condensation Of the Vector Operatormentioning

confidence: 96%

“…Following Refs. [22,36], we define ω g as the frequency which minimizes the imaginary part of the conductivity when ∆ > ∆ BF and m 2 > m 2 BF , and calculate the ratio of ω g to the critical temperature ω g /T c . From these figures, one observes that ω g /T c does not remain unchanged for different parameters, but rather varies as functions of k 0 and α in the present model.…”

Section: Ads Black Hole Background the Maxwell Equation Readsmentioning

confidence: 99%

p-Wave holographic superconductor in scalar hairy black holes

Wen

Pan

et al. 2019

Physics Letters B

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We study the properties of the p-wave holographic superconductor for the scalar hairy black holes in the probe limit. The black hole solutions in question possess planar topology, which are derived from the Einstein gravity theory minimally coupled to a scalar field with a generic scalar potential. These solutions can be viewed as characterized by two independent parameters, namely, α and k 0 , where AdS vacuum is manifestly restored when α → ∞. Consequently, the p-wave holographic superconductor is investigated by employing the above static planar black hole spacetime as the background metric, where a Maxwell field is introduced to the model by nonminimally coupling it to a complex vector field. The latter is shown to condensate and furnish the superconducting phase when the temperature is below a critical value. By numerical calculations, we examine in detail how the scalar field in the background affects the properties of the superconductivity. It is found that the critical temperature depends crucially on the parameters α and k 0 , which subsequently affects the condensation process. By employing the Kubo formula, the real, as well as imaginary parts of the conductivity, are calculated and presented as functions of frequency. The results are discussed regarding the poles of the Green function, and the typical values of the BCS theory. a hwyu@hunnu.edu.cn

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“…There are different ways to investigate the properties of holographic p-wave superconductors, including conden-sation of a real or complex massive charged vector field on the gravity side which is dual to the vector order parameter in the boundary as well as introducing a 2-form field or a SU (2) Yang-Mills gauge field in the bulk as the origin of a spin-1 order parameter [38][39][40][41][42]. The impact of the Gauss-Bonnet term on the holographic p-wave superconductor is characterized in different references [53][54][55]. Moreover, in the framework of condensed matter physics, dynamical scaling appears near the critical point.…”

Section: Introductionmentioning

confidence: 99%

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

Mohammadi

Sheykhi

2020

Eur. Phys. J. C

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We employ gauge/gravity duality to study the effects of Lifshitz scaling on the holographic p-wave superconductors in the presence of Born–Infeld nonlinear electrodynamics. By using the shooting method in the probe limit, we calculate the relation between critical temperature $$T_\mathrm{{c}}$$ T c and $$\rho ^{z/d}$$ ρ z / d numerically for different values of mass, nonlinear parameter b and Lifshitz critical exponent z in various dimensions. We observe that critical temperature decreases by increasing b, z or the mass parameter m which makes conductor/superconductor phase transition harder to form. In addition, we analyze the electrical conductivity and find the behavior of the real and the imaginary parts as a function of frequency, which depend on the model parameters. However, some universal behaviors are seen. For instance at low frequencies, the real part of conductivity shows a delta function behavior, while the imaginary part has a pole, which means that these two parts are connected to each other through the Kramers–Kronig relation. The behavior of the real part of the conductivity in the large frequency regime can be achieved by $$\mathrm{{Re}}[\sigma ]=\omega ^{D-4}$$ Re [ σ ] = ω D - 4 . Furthermore, with increasing the Lifshitz scaling z, the energy gap and the minimum values of the real and imaginary parts become unclear.

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Holographic vector superconductor in Gauss–Bonnet gravity

Cited by 17 publications

References 30 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

p-Wave holographic superconductor in scalar hairy black holes

Lifshitz scaling effects on the holographic p-wave superconductors coupled to nonlinear electrodynamics

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