Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity

Ghorai, Debabrata; Gangopadhyay, Sunandan

doi:10.48550/arxiv.2105.09423

Cited by 2 publications

(2 citation statements)

References 34 publications

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“…Note added--While we were completing this work, a complementary paper of D. Ghorai and S. Gangopadhyay [66] on the analytical holographic superconductor with the backreactions in the 4D Einstein-Gauss-Bonnet gravity appeared in arXiv.…”

Section: Discussionmentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Pan,

Qiao,

Wang

et al. 2021

Preprint

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We construct the holographic superconductors away from the probe limit in the consistent D → 4 Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the curvature correction tends towards the Chern-Simons limit in a backreaction dependent fashion. However, the decrease of the backreaction, the increase of the scalar mass, or the increase of the number of nodes will weaken this subtle effect of the curvature correction. Moreover, for the curvature correction approaching the Chern-Simons limit, we find that the gap frequency ωg/Tc of the conductivity decreases first and then increases when the backreaction increases in a scalar mass dependent fashion, which is different from the finding in the (3 + 1)-dimensional superconductors that increasing backreaction increases ωg/Tc in the full parameter space. The combination of the Gauss-Bonnet gravity and backreaction provides richer physics in the scalar condensates and conductivity in the (2+1)-dimensional superconductors.

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Section: Discussionmentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Pan,

Qiao,

Wang

et al. 2021

Preprint

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“…In [67,68], a new method to study lower dimensional Gauss-Bonnet gravity was presented. Studying holographic superconductors in the presence of Gauss-Bonnet correction in D = 4 by using the rescaling the Gauss-Bonnet term are done numerically and analytically [69,70].…”

Section: Introductionmentioning

confidence: 99%

Gauss-Bonnet holographic superconductors in lower-dimensions

Mohammadi¹,

Sheykhi²

2022

Preprint

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We study the properties of holographic s-wave and p-wave superconductors with higher order corrections in Gauss-Bonnet gravity in 3 and 4-dimensional spacetime. We employ shooting method to solve equations of motion numerically and obtain the effect of different values of mass, nonlinear and Gauss-Bonnet parameters on critical temperature and condensation. Based on our results, increasing each of these three parameters leads to lower temperatures and larger values of condensation. This phenomenon is rooted in the fact that conductor/superconductor phase transition faces with difficulty for higher effect of nonlinear and Gauss-Bonnet terms in the presence of a massive field.In addition, we study the electrical conductivity in holographic setup. In D = 4, real and imaginary parts of conductivity in holographic s-and p-wave models behave similarly and follow the same trend as higher dimensions by showing the delta function and divergence behavior at low frequency regime that Kramers-Kronig relation can connect these two parts of conductivity to each other. We observe the appearance of a gap energy at ωg ≈ 8Tc which shifts toward higher frequencies by diminishing temperature and increasing the effect of nonlinear and Gauss-Bonnet terms. Conductivity in D = 3 is far different from other dimensions. Even the real and imaginary parts in s-and p-wave modes pursue various trends. For example in ω → 0 limit, imaginary part in holographic s-wave model tends to infinity but in p-wave model approaches to zero. However, the real parts in both models show a delta function behavior. In general, real and imaginary parts of conductivity in all cases that we study tend to a constant value in ω → ∞ regime.

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Analytical study of holographic superconductor with backreaction in $4d$ Gauss-Bonnet gravity

Cited by 2 publications

References 34 publications

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Gauss-Bonnet holographic superconductors in lower-dimensions

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