Holographic superconductors for the Power–Maxwell field with backreactions

We investigate the properties of holographic superconductors for the Power–Maxwell field with backreactions in the background of a d-dimensional AdS black hole. Studying the marginally stable modes of the system numerically, we find that stronger backreaction, larger power parameter of the Power–Maxwell field and lower dimension of the spacetime make it harder for the scalar hair to form. We improve the Sturm–Liouville method to confirm the numerical findings and argue that this analytical method is still powerful to study holographic superconductors for the Power–Maxwell field even if we consider the backreactions. Moreover, we observe that the critical exponent for condensation operators always takes the mean-field value, which is independent of the backreactions and Power–Maxwell field. (paper)