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In this article we have analytically derived the frequency dependent expression of conductivity and the band gap energy in AdS4 Schwarzschild background for p-wave holographic superconductors considering Einstein-Yang-Mills theory. We also used the self-consistent approach to obtain the expressions of conductivity for different frequency ranges at...
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Context 1
... that as our analysis is done on the probe limit, we do not consider the backreaction of this newly introduced component (A y ) on the metric or the other components of the gauge field (A t , A x ). Plugging in the above ansatz in the equation of motion given by Eq. (1.2), we get At the boundary, the behavior of the gauge field AðzÞ can be found from Eq. (5.2) given by ...
Citations
... In contrast to an s-wave holographic superconductor, the emergence of the condensate in this case spontaneously breaks not only the U (1) symmetry but also the SO(2) rotational symmetry in the x-y plane. Later on rigorous analytical and numerical studies was performed for this model [59][60][61][62][63][64]. ...
In this work, we have studied the effects of noncommutative geometry on the properties of p-wave holographic superconductors with massive vector condensates in the probe limit. We have applied the St\"{u}rm-Liouville eigenvalue approach to analyze the model. In this model, we have calculated the critical temperature and the value of the condensation operator for two different values of . We have also shown how the influence of noncommutative geometry modifies these quantities. Finally, by applying a linearized gauge field perturbation along the boundary direction, we calculated the holographic superconductor's DC conductivity using a self-consistent approach and then carrying out a more rigorous analysis. The noncommutative effects are also found to be present in the result of DC conductivity. We have also found that just like the commutative case, here the DC conductivity diverges due to the presence of a first order pole in the frequency regime.
In this paper, analytical investigation of the properties of s-wave holographic superconductors in the background of a massive gravity theory in the probe limit has been carried out by employing the Sturm–Liouville eigenvalue method. We obtain the analytical expression for the relation between the critical temperature and the charge density. We also obtain the expression for the condensation operator and value of the critical exponent. We observe that as we increase the massive gravity couplings, the critical temperature increases and the condensate decreases. Then we compute the frequency dependence of conductivity by solving analytically the wave equation for electromagnetic perturbations. From the real part of the conductivity, we finally estimate the energy band gap. Our results show that as one keeps on increasing the coupling parameters of the massive gravity background, the band gap energy increases compared to the holographic superconductors constructed in the Einstein gravity background. The results indicate that massive background is more favorable than Einstein gravity background for constructing a gravity dual of the strongly coupled high Tc superconductor as it enhances the value of the critical temperature.
