p-wave holographic superconductors with Weyl corrections

¹ Eurasian International Center for Theoretical Physics, Eurasian National University Astana, 010008, Kazakhstan
² Department of Engineering Science, College of Engineering, University of Tehran Tehran, PO Box 11155-4563, Iran

^a d.momeni@yahoo.com
^b naymajd@ut.ac.ir
^c rmyrzakulov@gmail.com

Received: 1 December 2011
Accepted: 13 February 2012

Abstract

We study the (3+1)-dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of the critical temperature T_c with respect to charge density ρ in a limited range of Weyl coupling parameter γ and we find in general that the condensation becomes harder with the increase of the parameter γ. In the strong-coupling limit of Yang-Mills theory, we show that the minimum value of T_c obtained from the analytical approach is in good agreement with the numerical results, and finally show how we got remarkably a similar result for the critical exponent of the chemical potential μ and the order parameter⟨J¹_x⟩ with the numerical curves of the superconductors.