A note on holographic superconductors with Weyl Corrections

D. Momeni; M. R. Setare

doi:10.1142/S0217732311037169

paper

A note on holographic superconductors with Weyl Corrections

arXiv:1106.0431 · doi:10.1142/S0217732311037169

Abstract

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 $△_{+} = 3$ , the minimum value of the critical temperature $T_{c}^{M in}$ at which condensation sets, can be obtained directly from the equations of motion as $T_{c}^{M in} \approx 0.170845 3 ρ$ , which is in very good agreement with the numerical value $T_{c}^{M in} = 0.170 3 ρ$ [Phys.Lett.B697:153-158,2011]. This value of $T_{c}^{M in}$ corresponds to the value of the Weyl's coupling $γ = - 0.06$ in table (1) of [Phys.Lett.B697:153-158,2011]. We calculate the $T_{c}^{M in} \approx 0.21408 3 ρ$ for another Weyl's coupling $γ = 0.02$ and the the conformal dimension $△_{-} = 1$ . Further, we show that the critical exponent is $β = 1/2$ . We observe that there is a linear relation between the charge density $ρ$ and the chemical potential difference $μ - μ_{c}$ qualitatively matches the numerical curves.

Accepted for publication in Modern Physics Letters A, 11 pages, Title changed

A note on holographic superconductors with Weyl Corrections

Abstract

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