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This paper investigates the dielectric properties of holographic insulators by deriving quantum geometric quantities like the Berry curvature and quantum metric from strongly correlated electron models. The study utilizes gauge-gravity duality techniques to compute transport coefficients, representing a theoretical advancement in understanding emergent materials via quantum information geometry. While it touches on condensed matter physics, its core methodology relies heavily on quantum field theory principles central to advanced quantum computing research.
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Dielectric constant of holographic insulator from quantum geometry

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arXiv:2610.11635v1 Announce Type: cross 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.

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.

High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2610.11635 [hep-th]

(or arXiv:2610.11635v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2610.11635 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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