Analytical holographic superconductor with backreaction using \(AdS_3/CFT_2\). (English) Zbl 1274.83086
Summary: 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.
MSC:
| 83C57 | Black holes |
| 83E30 | String and superstring theories in gravitational theory |
| 82D55 | Statistical mechanics of superconductors |
| 81T05 | Axiomatic quantum field theory; operator algebras |
Keywords:
black holes in string theory; \(AdS/CFT\) correspondence; holography and condensed matter physics \((AdS/CMT)\)References:
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