Holographic Superconductors with Power-Maxwell field

Details Holographic Superconductors with Power-Maxwell field Holographic Superconductors with Power-Maxwell field

2011-06-26

arxiv.org/abs/1106.5181v3

JHEP 1111, (2011) 045

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure, and 2 tables

Scientific paper

With the Sturm-Liouville analytical and numerical methods, we investigate the behaviors of the holographic superconductors by introducing a complex charged scalar field coupled with a Power-Maxwell field in the background of $d$-dimensional Schwarzschild AdS black hole. We note that the Power-Maxwell field takes the special asymptotical solution near boundary which is different from all known cases. We find that the larger power parameter $q$ for the Power-Maxwell field makes it harder for the scalar hair to be condensated. We also find that, for different $q$, the critical exponent of the system is still 1/2, which seems to be an universal property for various nonlinear electrodynamics if the scalar field takes the form of this paper.

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