Abstract
We investigate the holographic subregion complexity (HSC) and compare it with the holographic entanglement entropy (HEE) in the metal/superconductor phase transition for the Born–Infeld (BI) electrodynamics with full backreaction. Based on the subregion CV conjecture, we find that the universal terms of HSC remain finite during phase transitions, and the HSC is a good probe to the critical temperature in the holographic superconducting system. Furthermore, we observe that for the operator mathcal {O}_{+}, the HSC of the superconducting phase decreases first and then increases as the BI parameter increases, which is completely different from that of HEE, and the value of the BI parameter corresponding to the inflection point of HSC is larger than that of HEE. But for the operator mathcal {O}_{-}, the HSC increases monotonically as the BI parameter increases, which is similar to that of HEE.
Highlights
The anti-de Sitter/conformal field theories (AdS/CFT) correspondence [1,2,3,4], as a concrete realization of the holographic principle [5,6], provides us a useful theoretical method to study the strongly coupled systems in various fields of physics
We find that the behavior of holographic subregion complexity (HSC) is quite similar to that of holographic entanglement entropy (HEE) in the superconducting phase, i.e., the effect of BI parameters on the HEE and HSC is monotonic, which is different from the case in the operator O+
We conducted a numerical analysis of HSC and HEE in the metal/superconductor phase transition for the BI electrodynamics with full backreaction by using the subregion CV conjecture
Summary
The anti-de Sitter/conformal field theories (AdS/CFT) correspondence [1,2,3,4], as a concrete realization of the holographic principle [5,6], provides us a useful theoretical method to study the strongly coupled systems in various fields of physics. Two of the most important aspects that have received wide attention in the context of the AdS/CFT correspondence are holographic superconductors [7,8,9,10] and holographic entanglement entropy (HEE) [11,12]. The former exhibits many characteristic properties shared by the real superconductor, which may be inspiring to understand the mechanism of high temperature superconductors in condensed matter physics, see [13,14] for a review.
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