Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity

Abstract

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.

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

“…From eq. ( 40), the critical temperature yields 1 which are in good agreement with numerical values in [54] (α is scaled by 2α in [54]).…”

“…This is same as the metric in [54] with rescaling α to 2α. The asymptotic behaviour of the metric is…”

“…It is therefore interesting to investigate the effect of higher curvature corrections on 3 + 1-dimensional holographic superconductors in the framework of the novel four-dimensional EGB gravity. Using this motivation, the properties of the s-wave and p-wave holographic superconductors has been studied numerically in the framework of 4d EGB gravity in the probe limit in [54]. The analytical investigation and the study away from the probe limit has not done yet for this holographic superconductor model.…”

Polarized image of an equatorial emitting ring around a 4D Gauss-Bonnet black hole

“…Although there are some criticisms on this naive 4D theory of Gravity including its the regularization scheme [29][30][31], a well-defined theory is proposed to serve as a consistent realization of the 4D Einstein-Gauss-Bonnet gravity where there exist two dynamical degrees of freedom with breaking the temporal diffeomorphism invariance [32]. It is fortunate that the black hole solution obtained by the naive regularization [28] is confirmed as an exact solution in this full theory [32], which has greatly contributed to the study of the Einstein-Gauss-Bonnet gravity in the 4D spacetime on various aspects [33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. In this paper, we will study the polarization image of an equatorial synchrotron emitting ring around the 4D Gauss-Bonnet black hole black hole [28] and to see the effects of Gauss-Bonnet parameter on the polarization image of emitting ring.…”

H-T phase diagrams of a holographic p-wave superfluid

“…In the new holographic pwave model [9], the authors using charged complex vectors, which are also known as Proca fields, to extend the holographic p-wave superfluid model to more general values of the charge and the mass parameters. Therefore a lot of study emerge to consider the more general p-wave superfluid in various setups [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Further investigations also involve in both the s-wave and p-wave orders together to study the competition and coexistence between the two different orders in holography [24][25][26][27][28][29][30][31][32][33][34].…”