https://doi.org/10.1140/epjc/s10052-016-4005-0
Regular Article - Theoretical Physics
Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction
1
S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata, 700098, India
2
Department of Physics, West Bengal State University, Barasat, India
3
Inter University Centre for Astronomy and Astrophysics, Pune, India
* e-mail: sunandan.gangopadhyay@gmail.com
** e-mail: sunandan@iucaa.ernet.in
Received:
4
February
2016
Accepted:
4
March
2016
Published online:
15
March
2016
In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born–Infeld electrodynamics taking into account the back-reaction of the spacetime using the Sturm–Liouville eigenvalue method. In the background of pure Einstein and Gauss–Bonnet gravity, based on a perturbative approach, we obtain the relation between the critical temperature and the charge density. Higher values of the back-reaction and Born–Infeld parameters result in a harder condensation to form in both cases. The analytical results are found to agree with the existing numerical results. We also derive an expression for the condensation operator in d dimensions which yields a critical exponent of 1 / 2.
© The Author(s), 2016
