Abstract
We investigate the holographic entanglement entropy in the insulator/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction in five-dimensional AdS soliton spacetime. We note that the holographic entanglement entropy is a good probe to study the properties of the phase transition, and the Born-Infeld factor $b$ has no effect on the critical chemical potential $\mu_c$. We find that both in the half space and the belt one, the non-monotonic behavior of the entanglement entropy versus the chemical potential is a general property, and the entanglement entropy increases with the increase of the Born-Infeld factor in the superconductor phase. Particularly, there exists confinement/deconfinement phase transition in the strip geometry and the critical width $\ell_c$ is dependent of the Born-Infeld parameter.
Highlights
We investigate the holographic entanglement entropy in the insulator/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction in five-dimensional AdS soliton spacetime
We would like to study the entanglement entropy in the insulator/superconductor phase transition with Born-Infeld electrodynamics in the two geometry configurations which are descried by the half space and the strip one, respectively
Change with the increase of the factor b, which implies that the critical chemical potentials μc is independent of the Born-Infeld parameter b
Summary
Where L is the radius of AdS spacetime, g is the determinant of the metric, q and m are respectively the charge and the mass of the scalar field, and b is the Born-Infeld coupling parameter. After solving the equations of motion, according to the AdS/CFT correspondence, we can get the chemical potential μ and the charge density ρ from the asymptotic behavior of φ through eq (2.12). In figure 2, we show the numerical behaviors of condensate and the charge density with the changes of the chemical potential and the Born-Infeld parameter b. It can be seen from the left plot of figure 2 that as the chemical potential μ exceeds a critical value μc for the given mass and charge, the condensation of the operators emerges. Change with the increase of the factor b, which implies that the critical chemical potentials μc is independent of the Born-Infeld parameter b
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