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PreprintarXiv licencearXiv

Density-driven reversal of flavour-entanglement anisotropy in the D3-D7 holographic conductor

  • Fuminori Okabayashi
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Abstract

We study the leading probe-flavour contribution to equal-time spatial entanglement entropy in a homogeneous 3+1-dimensional strongly coupled conductor at finite temperature and charge density, realised holographically by the D3-D7 system and driven by a constant DC electric field. We compare slab-shaped subregions that are extended in two spatial directions and have finite width parallel or transverse to the field. The difference between the corresponding entropy corrections isolates a homogeneous, spatially traceless response and exhibits a density-driven sign reversal. Over the investigated parameter range, the crossover density increases with the electric-field magnitude and decreases with the strip width. Mutual information shows the same qualitative reversal and provides an ultraviolet-finite check. We trace the effect to a radial sign competition in the full Dirac-Born-Infeld stress anisotropy. The reversal is a smooth response crossover rather than a thermodynamic phase transition.

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Cite

BibTeXRIS
BibTeX
@misc{okabayashi2026densitydriven,
  title = {{Density-driven reversal of flavour-entanglement anisotropy in the D3-D7 holographic conductor}},
  author = {Fuminori Okabayashi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26641},
  eprint = {2609.26641},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26641},
}
RIS
TY  - UNPB
TI  - Density-driven reversal of flavour-entanglement anisotropy in the D3-D7 holographic conductor
AU  - Fuminori Okabayashi
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26641
UR  - https://arxiv.org/abs/2609.26641
AB  - We study the leading probe-flavour contribution to equal-time spatial entanglement entropy in a homogeneous 3+1-dimensional strongly coupled conductor at finite temperature and charge density, realised holographically by the D3-D7 system and driven by a constant DC electric field. We compare slab-shaped subregions that are extended in two spatial directions and have finite width parallel or transverse to the field. The difference between the corresponding entropy corrections isolates a homogeneous, spatially traceless response and exhibits a density-driven sign reversal. Over the investigated parameter range, the crossover density increases with the electric-field magnitude and decreases with the strip width. Mutual information shows the same qualitative reversal and provides an ultraviolet-finite check. We trace the effect to a radial sign competition in the full Dirac-Born-Infeld stress anisotropy. The reversal is a smooth response crossover rather than a thermodynamic phase transition.
ER  -