Holographic superconductors with higher curvature corrections

Abstract

We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We give an analytic proof of this result, and directly demonstrate an analytic approximation method that explains the qualitative features of superconductors as well as giving quantitatively good numerical results. We also calculate conductivity and ωg/Tc, for ωg and Tc the gap in the frequency dependent conductivity and the critical temperature respectively. It turns out that the 'universal' behaviour of conductivity, ωg/Tc ≃ 8, is not stable to the higher curvature corrections. In the appendix, for completeness, we show our analytic method can also explain (2+1)-dimensional superconductors.

Holographic Superconductor Models with RF 2 Corrections

“…In order to understand the influences of the 1/N or 1/λ (λ is the 't Hooft coupling) corrections on the holographic dual models, there have been a lot of works studying the holographic superconductors with the higher derivative correction related to the gravity [10][11][12] and the gauge field [13][14][15][16][17][18][19][20][21][22]. Recently, an s-wave holographic dual model with Weyl corrections has been constructed in order to explore the effects beyond the large N limit on the holographic superconductor [23].…”

“…Recently, an s-wave holographic dual model with Weyl corrections has been constructed in order to explore the effects beyond the large N limit on the holographic superconductor [23]. It is shown that, in strong contrast to the higher curvature corrections [10][11][12], the higher Weyl corrections make it easier for the condensation to form and change the expected relation in the gap frequency. Generalizing the investigation on the holographic superconductor model in the Stückelberg mechanism, the authors of Ref.…”

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

“…The AdS/CFT duality is a powerful tool for investigating strongly coupled gauge theories, the application might offer new insight into the study of strongly interacting condensed matter systems where the perturbational methods are no longer available. Therefore, much attention has been given to the studies of the AdS/CFT duality to condensed matter physics and in particular to superconductivity recently [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In these studies most of the holographically dual descriptions for a superconductor are based on a model that a simple Einstein-Maxwell theory coupled to a charged scalar.…”

Non-equilibrium condensation process in holographic superconductor with nonlinear electrodynamics

“…By examining the charged scalar field together with a Maxwell field in the Gauss-BonnetAdS black hole background [21,22,[45][46][47][48][49][50][51][52][53][54][55], it has been observed that the higher curvature correction makes the holographic superconductor harder to form. Besides the curvature correction to the gravity, it is also interesting to investigate the high-order correction related to the gauge field.…”