Holographic superconductors with hidden Fermi surfaces

TL;DR

This paper explores a holographic superconductor model with hidden Fermi surfaces, analyzing entanglement entropy behavior during phase transitions, revealing a discontinuity in slope and a reorganization of degrees of freedom.

Contribution

It introduces a fully back-reacted Einstein-Maxwell-Dilaton holographic model with a charged scalar field to study entanglement entropy in superconductors with hidden Fermi surfaces.

Findings

Entanglement entropy shows a slope discontinuity at the phase transition.

Entanglement entropy decreases and stabilizes at lower values in the superconducting phase.

The results indicate a reorganization of degrees of freedom across the transition.

Abstract

In this paper, we investigate a holographic model of superconductor with hidden Fermi surfaces, which was defined by the logarithmic violation of area law of entanglement entropy. We works in fully back-reacted background using standard Einstein-Maxwell-Dilaton action with additional complex scalar filed which was charged under the Maxwell field. Particularly, we analyze the behavior of entanglement entropy during the phase transition. At the critical point, the finite part of the entanglement entropy has a discontinuity of slope and tends to a lower value in the superconducting phase all the way down to the zero temperature limit, indicating the reorganization of degrees of freedom of the system across the phase transition.