Entanglement Entropy and Wilson Loop in Stückelberg Holographic Insulator/Superconductor Model

Abstract

We study the behaviors of entanglement entropy and vacuum expectation value of Wilson loop in the Stückelberg holographic insulator/superconductor model. This model has rich phase structures depending on model parameters. Both the entanglement entropy for a strip geometry and the heavy quark potential from the Wilson loop show that there exists a "confinement/deconfinement" phase transition. In addition, we find that the non-monotonic behavior of the entanglement entropy with respect to chemical potential is universal in this model. The pseudo potential from the spatial Wilson loop also has a similar non-monotonic behavior. It turns out that the entanglement entropy and Wilson loop are good probes to study the properties of the holographic superconductor phase transition.

23 pages,12 figures. v2: typos corrected, accepted in JHEP

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• Holographic entanglement entropy in general holographic superconductor models
• Time Evolution of Entanglement Entropy in Quenched Holographic Superconductors
• Holographic Entanglement Entropy in 2D Holographic Superconductor via $Ad{S}_3/CF{T}_2$
• Holographic entanglement entropy close to crossover/phase transition in strongly coupled systems
• Very General Holographic Superconductors and Entanglement Thermodynamics
• Holographic entanglement density for spontaneous symmetry breaking
• Holographic entanglement entropy in two-order insulator/superconductor transitions
• A general holographic metal/superconductor phase transition model
• Generalized Superconductors and Holographic Optics - II