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Enhanced quantum metric due to vacancies in graphene

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Random vacancies in a graphene monolayer induce defect states that are known to form a narrow impurity band centered around zero energy at half-filling. We use a space-resolved formulation of the quantum metric and establish a strong enhancement of the electronic correlations in this impurity band. The enhancement is primarily due to strong correlations between pairs of vacancies situated on different sublattices at anomalously large spatial distances. We trace the strong enhancement to both the multifractal vacancy wave functions, which ties the system exactly at the Anderson insulator transition for all defect concentrations, and preserving the chiral symmetry.

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Superdielectrics: Disorder-induced perfect screening in insulators

cond-mat.mes-hall · 2025-08-20 · conditional · novelty 6.0

Bond-disordered chiral insulators, including SSH chains and vacancy-doped Kekulé graphene, can have a divergent static susceptibility with a finite quantum metric and zero dc conductivity, a regime the authors call superdielectric.

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  • Superdielectrics: Disorder-induced perfect screening in insulators cond-mat.mes-hall · 2025-08-20 · conditional · none · ref 14 · internal anchor

    Bond-disordered chiral insulators, including SSH chains and vacancy-doped Kekulé graphene, can have a divergent static susceptibility with a finite quantum metric and zero dc conductivity, a regime the authors call superdielectric.