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Peer-reviewedCC BY 4.0The European Physical Journal C

Quantum criticality and mixed-state entanglement in holographic superconductor–insulator transitions

5 affiliations
  1. 1Yangzhou University
  2. 2Beijing Normal University
  3. 3Chinese Academy of Sciences
  4. 4University of Chinese Academy of Sciences
  5. 5Jinan University

Abstract

We study quantum criticality in a holographic Einstein–Maxwell–Dilaton–Axion (EMDA) p-wave superconductor exhibiting a superconductor–insulator transition (SIT). By tracking the superconducting energy gap, we show that approaching the quantum critical point (QCP) closes the gap and induces incipient insulating features, indicating that enhanced quantum fluctuations suppress superconducting order and trigger the SIT. We suggest that this behavior occurs only when the condensate orientation is aligned with the direction of translational symmetry breaking. To probe the transition, we employ two holographic indicators: holographic entanglement entropy (HEE) and the entanglement wedge cross-section (EWCS), the latter being a mixed-state entanglement measure. In contrast to HEE, which for sufficiently large configuration is dominated by the thermal entropy and is therefore largely insensitive to entanglement along the temperature direction, EWCS displays pronounced critical scaling and provides a robust diagnostic of the quantum phase transition (QPT). We attribute this contrast to the fact that HEE at large scales is controlled by the infrared (IR) geometry, whereas EWCS is governed by deformations of the entire bulk. Our results establish EWCS as a robust probe of holographic quantum criticality in mixed states.

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BibTeX
@article{yang2026quantum,
  title = {{Quantum criticality and mixed-state entanglement in holographic superconductor–insulator transitions}},
  author = {Zhe Yang and Fang-Jing Cheng and Guoyang Fu and Yi Ling and Peng Liu and Jian-Pin Wu},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16510-5},
  url = {https://link.springer.com/article/10.1140/epjc/s10052-026-16510-5},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Quantum criticality and mixed-state entanglement in holographic superconductor–insulator transitions
AU  - Zhe Yang
AU  - Fang-Jing Cheng
AU  - Guoyang Fu
AU  - Yi Ling
AU  - Peng Liu
AU  - Jian-Pin Wu
PY  - 2026
DA  - 2026/10/29
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16510-5
UR  - https://link.springer.com/article/10.1140/epjc/s10052-026-16510-5
AB  - We study quantum criticality in a holographic Einstein–Maxwell–Dilaton–Axion (EMDA) p-wave superconductor exhibiting a superconductor–insulator transition (SIT). By tracking the superconducting energy gap, we show that approaching the quantum critical point (QCP) closes the gap and induces incipient insulating features, indicating that enhanced quantum fluctuations suppress superconducting order and trigger the SIT. We suggest that this behavior occurs only when the condensate orientation is aligned with the direction of translational symmetry breaking. To probe the transition, we employ two holographic indicators: holographic entanglement entropy (HEE) and the entanglement wedge cross-section (EWCS), the latter being a mixed-state entanglement measure. In contrast to HEE, which for sufficiently large configuration is dominated by the thermal entropy and is therefore largely insensitive to entanglement along the temperature direction, EWCS displays pronounced critical scaling and provides a robust diagnostic of the quantum phase transition (QPT). We attribute this contrast to the fact that HEE at large scales is controlled by the infrared (IR) geometry, whereas EWCS is governed by deformations of the entire bulk. Our results establish EWCS as a robust probe of holographic quantum criticality in mixed states.
SN  - 1434-6052
SN  - 1434-6044
ER  -