Analytic Study of Properties of Holographic Superconductors with Weyl Corrections.

We analytically investigate the properties of holographic superconductors with Weyl corrections in AdS-Schwarzschild background by two approaches, one based on the Sturm-Liouville eigenvalue problem and the other based on the matching of the solutions to the field equations near the horizon and near the asymptotic AdS region. The relation between the critical temperature and the charge density has been obtained and the dependence of the expectation value of the condensation operator on the temperature has been found. We find that the critical temperature of holographic superconductor with Weyl corrections increases as we amplify the Weyl coupling parameter γ, indicating the condensation will be harder when the parameter γ decreases. The critical exponent of the condensation also comes out to be 1/2 which is the universal value in the mean field theory. [ABSTRACT FROM AUTHOR]