https://doi.org/10.1140/epjc/s10052-022-10294-0
Regular Article - Theoretical Physics
Heun’s equation and analytic structure of the gap in holographic superconductivity
1
Department of Physics, Hanyang University, 04763, Seoul, South Korea
2
Asia Pacific Center for Theoretical Physics (APCTP), 790-784, Pohang, South Korea
3
Department of Physics, Shanghai University, 200444, Shanghai, China
Received:
7
February
2022
Accepted:
26
March
2022
Published online:
4
May
2022
We present the new method to calculate the critical temperature as a function of 
, conformal dimension of the cooper operator. We find that, in the regime 
where the AC conductivity does not show a gap, the critical temperature is not well defined. We also got expression of AC conductivity for 
, which agrees with numerical result in the probe approximation.
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