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

TL;DR

This paper analytically explores how nonlinear electromagnetic corrections influence the properties of holographic s-wave superconductors, including critical temperature, condensate behavior, and the critical magnetic field, revealing that higher derivatives affect superconducting phase stability.

Contribution

It provides explicit analytical expressions for critical temperature and magnetic field in holographic superconductors with nonlinear corrections, highlighting the impact of higher derivative terms.

Findings

Critical magnetic field strength is affected by nonlinear corrections.

Superconducting phase exists below a certain magnetic field.

Analytical expressions for critical temperature and condensate values are derived.

Abstract

In this paper, based on analytic technique, several properties of holographic $ s $-wave superconductors have been investigated in the presence of various higher derivative (\textit{non linear}) corrections to the usual Maxwell action. Explicit expressions for the critical temperature and the condensation values have been obtained in the probe limit. Finally, the nature of condensate solutions have been investigated by immersing the superconductor in an external magnetic field. It is found that below certain critical magnetic field strength ($ 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.