Analytic calculation of properties of holographic superconductors

作者：Siopsis George^*; Therrien Jason

来源：The Journal of High Energy Physics, 2010, 2010(5): 013.

DOI：10.1007/JHEP05(2010)013

• Gauge-gravity correspondence
• AdS-CFT Correspondence

We calculate analytically properties of holographic superconductors in the probe limit. We analyze the range 1/2 < Delta < 3, where Delta is the dimension of the operator that condenses. We obtain the critical temperature in terms of a solution to a certain eigenvalue problem. Near the critical temperature, we apply perturbation theory to determine the temperature dependence of the condensate. In the low temperature limit we show that the condensate diverges as T-Delta/3 for Delta < 3/2 whereas it asymptotes to a constant value for which we provide analytic estimates for Delta > 3/2. We also obtain the frequency dependence of the conductivity by solving analytically the wave equation of electromagnetic perturbations. We show that the real part of the DC conductivity behaves as e(-Delta g/T) and estimate the gap Delta(g) analytically. Our results are in good agreement with numerical results.

• 出版日期2010-5