Holographic superconductors with higher curvature corrections

By R. Gregory, Sugumi Kanno, Jiro Soda. 2009

290 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c2d376ab0dee13b639becf20b6714e4fd7a24f8d

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Citations in the corpus

Analytical study on holographic superconductors in external magnetic field (2010, methodology): “In addition to checking the qualitative property observed in [37–40] for the influence of the positive Gauss-Bonnet coupling on the superconductor in the presence of the external magnetic field, we will further examine the allowed negative coupling influence on the condensation.”
Introduction to Holographic Superconductors (2010, background): “Even when it is well defined, it is modified by higher order curvature corrections in bulk [19].”
Analytic calculation of properties of holographic superconductors (2010, background): “Similar functions have been considered before [23, 24] but without a determination of the parameter α.”