Holographic Entanglement Entropy and Complexity for D-Wave Superconductors

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}.