Table of Contents
Journal of Gravity
Volume 2013 (2013), Article ID 782512, 10 pages
http://dx.doi.org/10.1155/2013/782512
Research Article

More on Superconductors via Gauge/Gravity Duality with Nonlinear Maxwell Field

1Eurasian International Center for Theoretical Physics, Eurasian National University, Astana 010008, Kazakhstan
2Department of Mathematics, COMSATS Institute of Information Technology (CIIT), Sahiwal Campus, Pakistan

Received 22 February 2013; Revised 16 March 2013; Accepted 16 March 2013

Academic Editor: Sergei Odintsov

Copyright © 2013 Davood Momeni et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We have developed the recent investigations on the second-order phase transition in the holographic superconductor using the probe limit for a nonlinear Maxwell field strength coupled to a massless scalar field. By analytical methods, based on the variational Sturm-Liouville minimization technique, we study the effects of the spacetime dimension and the nonlinearity parameter on the critical temperature and the scalar condensation of the dual operators on the boundary. Further, as a motivated result, we analytically deduce the DC conductivity in the low and zero temperatures regime. Especially in the zero temperature limit and in two dimensional toy model, we thoroughly compute the conductivity analytically. Our work clarifies more features of the holographic superconductors both in different space dimensions and on the effect of the nonlinearity in Maxwell's strength field.