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PreprintCC BY 4.0arXiv

Dielectric constant of holographic insulator from quantum geometry

Abstract

We study dielectric properties of holographic insulators from the quantum geometry of the ground state. We realize the insulating state by the pseudoscalar interaction of holographic fermions and calculate the fermionic Green function to extract the effective hamiltonian. We then derive the quantum metric and Berry curvature to compute the transports and finally get the dielectric constant from the imaginary part of conductivity.

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BibTeX
@misc{ghorai2026dielectric,
  title = {{Dielectric constant of holographic insulator from quantum geometry}},
  author = {Debabrata Ghorai and Taewon Yuk and Sang-Jin Sin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11635},
  eprint = {2610.11635},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11635},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dielectric constant of holographic insulator from quantum geometry
AU  - Debabrata Ghorai
AU  - Taewon Yuk
AU  - Sang-Jin Sin
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11635
UR  - https://arxiv.org/abs/2610.11635
AB  - We study dielectric properties of holographic insulators from the quantum geometry of the ground state. We realize the insulating state by the pseudoscalar interaction of holographic fermions and calculate the fermionic Green function to extract the effective hamiltonian. We then derive the quantum metric and Berry curvature to compute the transports and finally get the dielectric constant from the imaginary part of conductivity.
ER  -