Effect of external magnetic field on holographic superconductors in presence of nonlinear corrections

In this paper, based on an analytic technique, several properties of holographic s-wave superconductors have been investigated in the presence of various higher derivative (nonlinear) corrections to the usual Maxwell action. Explicit expressions for the critical temperature and the condensation values have been obtained in the probe limit. Finally, the nature of condensate solutions has been investigated by immersing the superconductor in an external magnetic field. It is found that below certain critical magnetic field strength (B_c) there exists a superconducting phase. Most importantly, it has been observed that the value of this critical field strength (B_c) indeed gets affected due to the presence of higher derivative corrections to the usual Maxwell action.