Holographic superconductors in the AdS black hole with a magnetic charge
Abstract
In this work, we study the analytical properties of a 2 + 1dimensional magnetically charged holographic superconductor in AdS_{4}. We obtain the critical chemical potential μ_{c} analytically, using the SturmLiouville variational approach. Further, by applying the perturbation scheme, we obtain the electrical conductivity of the model. We observe that the real part of the σ increases and the imaginary part of the conductivity decreases monotonously versus the frequency ω. Each module of σ has a minimum value, which is similar to the case of the uncharged SchwarachildAdS background. Further, we also conclude that the value of \frac {\omega _g}{T_{ {c}}} increases. For the condensate operator {O}_2 we find that, as the frequency ω increases for fixed H, the real part has a common behavior. However, the imaginary part possesses a minimum value in this case and the location of this minimum value changes along right when H increases. We find that at ω = 0, the real part of conductivity behaves as a delta function and the imaginary part exists as a pole in the background. This pole may be related to the existence of a magnetic monopole. Also, the obtained analytic result can be used to back up numerical computations in the holographic superconductor in the probe limit.
 Publication:

Physica Scripta
 Pub Date:
 October 2012
 DOI:
 10.1088/00318949/86/04/045005
 arXiv:
 arXiv:1210.1062
 Bibcode:
 2012PhyS...86d5005S
 Keywords:

 Physics  General Physics;
 High Energy Physics  Theory
 EPrint:
 Phys. Scr. 86 , 045005 (2012)