Physics – General Physics
Scientific paper
2011-06-02
Mod. Phys. Lett. A, Vol. 26, No. 38 (2011) pp. 2889-2898
Physics
General Physics
Accepted for publication in Modern Physics Letters A, 11 pages, Title changed
Scientific paper
10.1142/S0217732311037169
We study analytical properties of the holographic superconductors with Weyl corrections. We describe the phenomena in the probe limit neglecting backreaction of the space-time. We observe that for the conformal dimension $\triangle_{+}=3$, the minimum value of the critical temperature $T^{Min}_c$ at which condensation sets, can be obtained directly from the equations of motion as $T^{Min}_c\approx 0.170845\sqrt[3]{\rho}$, which is in very good agreement with the numerical value $T^{Min}_c=0.170\sqrt[3]{\rho}$ [Phys.Lett.B697:153-158,2011]. This value of $T^{Min}_c$ corresponds to the value of the Weyl's coupling $\gamma=-0.06$ in table (1) of [Phys.Lett.B697:153-158,2011]. We calculate the $T^{Min}_c\approx 0.21408\sqrt[3]{\rho}$ for another Weyl's coupling $\gamma=0.02$ and the the conformal dimension $\triangle_{-}=1$. 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.
Momeni Davood
Setare Mohammad R.
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