Volume 118, Number 3, May 2017
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||07 July 2017|
Non-linear effects on the holographic free energy and thermodynamic geometry
1 S.N. Bose National Centre for Basic Sciences, JD Block, Sector III - Salt Lake, Kolkata 700098, India
2 Indian Institute of Science Education and Research, Kolkata Mohanpur - Nadia 741246, India
3 Inter University Centre for Astronomy & Astrophysics, Pune 411007, India
(c) Visiting Associate.; firstname.lastname@example.org
(c) Visiting Associate.; email@example.com
(c) Visiting Associate.; firstname.lastname@example.org
Received: 6 April 2017
Accepted: 16 June 2017
We have analytically investigated the effects of non-linearity on the free energy and thermodynamic geometry of holographic superconductors in -dimensions. The non-linear effect is introduced by considering the coupling of the massive charged scalar field with Born-Infeld electrodynamics. We then calculate the relation between critical temperature and charge density by two different methods, namely, the matching method and the divergence of the scalar curvature which is obtained by investigating the thermodynamic geometry of the model. Both the results indicate a decrease in the critical temperature with increase in the Born-Infeld parameter b.
PACS: 11.10.Kk – Field theories in dimensions other than four
© EPLA, 2017
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