Heun's equation and analytic structure of the Gap in Holographic superconductivity

Abstract

We present the new method to calculate the critical temperature as a function of $\Delta$, conformal dimension of the cooper operator. We find that, in the regime $1/2\le \Delta <1$ where the AC conductivity does not show a gap, the critical temperature is not well defined. We also got expression of AC conductivity for $\Delta =2$, which agrees with numerical result in the probe approximation.

Change title and abstract. And move zero temperature analysis to appendices

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Cited by in corpus (3)

• Flow Equation and Fermion Gap in the Holographic Superconductors
• Momentum dependent gap in holographic superconductors revisited
• Scaling dimension of Cooper pair operator from the black hole interior