Analytical Holographic Superconductor with Backreaction Using AdS (3)/CFT (2)

作者：Momeni Davood; Raza Muhammad^*; Setare Mohammad Reza; Myrzakulov Ratbay

来源：International Journal of Theoretical Physics, 2013, 52(8): 2773-2783.

DOI：10.1007/s10773-013-1569-4

• Black holes in string theory
• AdS/CFT Correspondence
• Holography and condensed matter physics (AdS/CMT)

The holographic model for a two-dimensional superconductor has been investigated by considering the three-dimensional gravity in the bulk. To find the critical temperature, we used the Sturm-Liouville variational method. Where as the same method is applied for calculating the condensation of the dual operators on the boundary. We included the back reactions on the metric by a combination of the perturbation method of the fields with respect to the small parameter and then applying the variational integrals on the resulting equations of the motion. The critical temperature has been successfully obtained on the backreaction effects, and we showed that it dropped with a rise in the backreaction of the fields, and it makes the condensation harder. We can use our analytical results to support the numerical data which was reported previously.

• 出版日期2013-8