A NOTE ON HOLOGRAPHIC SUPERCONDUCTORS WITH WEYL CORRECTIONS

We study analytical properties of the holographic superconductors with Weyl correct ions. We describe the phenomena in the probe limit neglecting backreaction of the spacetime. We observe that for the conformal dimension Delta(+) = 3, the minimum value of the critical temperature T-c(Min) at which condensation sets, can be obtained directly from the equations of motion as T-c(Min) approximate to 0.1708453 (3)root rho,which is in very good agreement with the numerical value T-c(Min) = 0.1703 (3)root rho [Phys. Lett. B 697, 153 (2011)]. This value of T-c(Min) corresponds to the value of the Weyl's coupling gamma = -0.06 in Table 1 of Phys. Lett. B 697, 153 (2011). We calculate the T-c(Min) approximate to 0.214083 (3)root rho for another Weyl's coupling gamma = 0.02 and the conformal dimension Delta(-) = 1. Further,we show that the critical exponent is beta = 1/2. We observe that there is a linear relation between the charge density rho and the chemical potential difference mu - mu(c) qualitatively matches the numerical curves.