Holographic superconductors with Weyl Corrections via gauge/gravity duality

Abstract

In this paper, we analytically compute the basic parameters of the p-wave holographic superconductors with Weyl geometrical corrections using the matching method. The explicit correspondence between the critical temperature $T_c$ and the dual charge density $\rho$ has been calculated as $T_c\propto {\rho }^{13}$ and the dependence of the vacuum expectation value for the dual condensate operator $\mathcal{O}$ on the temperature has been found analytically in the form $<{\mathcal{O}}_{+}>\propto T_c^{32}{T}^{\Delta -12}\sqrt{1-(T{T}_c{)}^3}$. The critical exponent $12$ is an universal quantity according to predictions of the mean field theory and independent from the Weyl coupling $\gamma$. Our analytical results confirm the numerical results and also agree on computations using by the variational method.

Published in "Int. J. Mod. Phys. A 28, 1350096 (2013)"

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• Holographic superconductors with Weyl corrections
• Quasi-normal modes of holographic system with Weyl correction and momentum dissipation
• Holographic response from higher derivatives with homogeneous disorder
• The Ginzburg-Landau Theory of a Holographic Superconductor
• Holographic p-wave superconductivity from higher derivative theory
• Momentum dissipation and holographic transport without self-duality
• Higher derivatives driven symmetry breaking in holographic superconductors
• Analytical study of the holographic superconductor from higher derivative theory
• Universality of critical magnetic field in holographic superconductor
• Holographic fermionic spectrum with Weyl correction
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder