https://doi.org/10.1140/epjc/s10052-026-15619-x
Regular Article - Theoretical Physics
Holographic superconductor with dark sector probed by entanglement entropy in higher dimensional AdS spacetime
1
School of Physics and Electrical Engineering, Liupanshui Normal University, 553004, Liupanshui, Guizhou, People’s Republic of China
2
CAS Key Laboratory for Researches in Galaxies and Cosmology/Department of Astronomy, School of Astronomy and Space Science, University of Science and Technology of China, 230026, Hefei, Anhui, People’s Republic of China
3
School of Physics, Hangzhou Normal University, 311121, Hangzhou, Zhejiang, People’s Republic of China
a
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Received:
19
November
2025
Accepted:
28
March
2026
Published online:
9
April
2026
Abstract
We investigate the holographic entanglement entropy (HEE) with dark sector in a higher-dimensional AdS black hole spacetime including full back reaction, revealing its role as a diagnostic tool for critical phenomena in strongly coupled systems. By analyzing the HEE, we uncover distinct signatures of the metal/superconductor phase transition, demonstrating that the critical temperature is dynamically tuned by both the dark sector coupling strength and the chemical potential ratio between visible and dark sectors. Notably, near the criticality, the HEE exhibits a novel scaling behavior: it grows linearly with the dark sector coupling but displays a nonlinear, accelerated enhancement as the chemical potential ratio between the Maxwell and dark sectors increases.
© The Author(s) 2026
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