1201.6520 (Sunandan Gangopadhyay et al.)

Analytic study of properties of holographic superconductors in
Born-Infeld electrodynamics    [PDF]

Sunandan Gangopadhyay, Dibakar Roychowdhury

In this paper, based on the Sturm-Liouville eigenvalue problem, we
analytically investigate several properties of holographic s-wave
superconductors in the background of a Schwarzschild-AdS spacetime in the
framework of Born-Infeld electrodynamics. Based on a perturbative approach, we
explicitly find the relation between the critical temperature and the charge
density and also the fact that the Born-Infeld coupling parameter indeed
affects the formation of scalar hair at low temperatures. Higher value of the
Born-Infeld parameter results in a harder condensation to form. We further
compute the critical exponent associated with the condensation near the
critical temperature. The analytical results obtained are found to be in good
agreement with the existing numerical results.

View original: http://arxiv.org/abs/1201.6520