Holographic Entanglement Entropy and Complexity for D-Wave Superconductors

TL;DR

This paper numerically investigates holographic entanglement entropy and complexity in d-wave superconductors, revealing their effectiveness as probes for phase transitions and how they vary with system parameters.

Contribution

It introduces a numerical study of holographic entanglement entropy and complexity in d-wave superconductors with backreaction, highlighting their roles as phase transition probes.

Findings

HEE decreases in the superconducting phase due to condensation.

HSC behavior depends on strip width and backreaction, showing complex patterns.

Both HEE and HSC serve as effective indicators of phase transitions.

Abstract

By using the RT formula and the subregion CV conjecture respectively, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that both the HEE and HSC can be used as good probes to these two d-wave superconducting phase transitions. The HEE of superconducting phase is always lower than that of the normal phase due to the condensation of degrees of freedom below the critical temperature Tc. However, for the HSC, it behaves differently and interestingly, which depends on both the strip-width Lx and backreaction \k{appa}.