https://doi.org/10.1140/epjc/s10052-023-11327-y
Regular Article - Theoretical Physics
Holographic entanglement entropy and complexity for D-wave superconductors
1
Institute of Astrophysics, Central China Normal University, 430079, Wuhan, Hubei, China
2
School of Physics, Electronics and Intelligent Manufacturing, Huaihua University, 418000, Huaihua, Hunan, China
3
Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University, 410081, Changsha, Hunan, China
Received:
3
December
2022
Accepted:
11
February
2023
Published online:
8
March
2023
Using the RT formula and the subregion CV conjecture, 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 the HEE and HSC can probe these two d-wave superconducting phase transitions. The HEE of the superconducting phase is always lower than that of the normal phase. For the HSC, however, it behaves differently and interestingly, which depends on both the strip-width 
and backreaction 
. More specifically, when the backreaction is larger than a particular critical value, or the strip-width of the boundary subsystem is smaller than a particular critical value, the HSC in the superconducting phase is larger than that in the normal phase, and vice versa.
© The Author(s) 2023
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