Holographic entanglement entropy in insulator/superconductor transitions with dark matter sector

Abstract

We generalize the Stückelberg holographic superconductor model by including dark matter sector in the five-dimensional AdS soliton space–time beyond the probe limit. We study phase transitions with large charge of the scalar field through the condensation of the scalar operator and the holographic topological entanglement entropy of the system. We find that the entanglement entropy is a good probe of the order of phase transitions and second-order critical phase transition points. By investigating the behaviors of the entanglement entropy, we show that the larger coupling parameter [Formula: see text] makes the first-order phase transition more difficult to happen. In all, we conclude that the entanglement entropy can be used to study the effects of the dark matter sector in this general insulator/superconductor system.