Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction

The European Physical Journal C

Sunandan Gangopadhyay¹  Debabrata Ghorai² 

[1] Department of Physics, West Bengal State University, Barasat, India;Inter University Centre for Astronomy and Astrophysics, Pune, India;S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, 700098, Kolkata, India;

关键词: Black Hole;    Critical Temperature;    Einstein Gravity;    Conformal Field Theory;    Matter Field;   

DOI  :  10.1140/epjc/s10052-016-4005-0

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY