Excited states of holographic superconductors in regularized Maxwell theory

We investigate the excited states of holographic superconductors within the framework of regularized Maxwell (RegMax) theory in the probe limit. Through numerical analysis, we find that these excited states emerge at distinct critical temperatures, all of which are lower than that of the ground state. Notably, the critical temperatures for all states are higher than those predicted by linear Maxwell theory, an outcome that contrasts with the behavior observed in other nonlinear electrodynamics models. Our results indicate that both the condensate and optical conductivity in these states are influenced by the characteristic parameter of the theory. Furthermore, we observe that the optical conductivity of the n th-order excited state exhibits additional peaks compared to that of the ground state.