Holographic Superconductors with Nonlinear Arcsin‐Electrodynamics

Holographic s‐wave superconductors with nonlinear arcsin‐electrodynamics in the background of Schwarzschild anti‐de Sitter black holes are investigated. The analytical Sturm–Liouville eigenvalue problem is explored and the scalar and electromagnetic fields are assumed not to influence the background metric (the probe limit). The critical temperatures of phase transitions depending on the parameter of the model are obtained. It is shown that in this case, the condensation formation becomes easier compared to Born–Infeld nonlinear electrodynamics. The critical exponent near the critical temperature is calculated, which is 1/2. With the help of the matching method, analytic expressions for the condensation value and the critical temperature are derived. The real and imaginary parts of the conductivity in the model, making use of an analytical method, are computed.