Holographic superconductors in Ad S soliton away from

Holographic superconductors in Ad. S soliton away from the probe limit Yan Peng , Bin Wang and Qiyuan Pan Department of Physics, Fu. Dan University, Shanghai 200433, China Abstract: We investigate behaviors for the holographic superconductors in a Ad. S soliton Background at the case that the scalar field condensed so heavily that we have to consider the condensed matter’s backreaction to the metric. We find that the backreaction made the scalar field condense more difficultily. , However we find the ciritical parameter depend on the backreaction not sensitive. We consider a scalar perturbation in the RN-Ad. S soliton spacetime described by the metric: : We can obtain the equations of motion of the scalar field, the vector field and the metric field: Numerically solving the equation under the conditions of Ad. S soliton boundary, we get the following results: The correlation length as a function of for different. Plotte d are for the deviation = 10^-5*n. Conclusions: We have made some investigation on the holographic superconductors with backreaction in a Ad. S soliton background by the perturbation method. The result shows that the larger backreaction parameters is almost independent of the backreaction parameter. Thus, we conclude that a holographic superconductor with backreaction is simiar to the probe limit. Main References: [1] Q. Y. Pan, B. Wang, E. Papantonopoulos, J. Oliveria, and A. B. Pavan, Phys. Rev. D 81, 106007 (2010). [2]S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Phys. Rev. Lett. 101, 031601 (2008). [3] S. S. Gubser, Phys. Rev. D 78 (2008) 065034. [4] S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, JHEP 0812 (2008) 015.