Holographic entanglement entropy and subregion complexity for excited states of holographic superconductors

We investigate the holographic entanglement entropy (HEE) and subregion complexity (HSC) for superconductors in Einstein gravity Einstein-Gauss-Bonnet gravity. For ground state excited states, we observe that, gravity, HSC decreases as temperature increases normal phase has a smaller than superconducting phase, which is opposite to behavior of HEE. And given $T$ higher leads lager value HEE but HSC. However, significantly different effect on HSC, while always monotonously with increase its larger that phase. The provide richer physics transition condensate scalar hair states.