Enhanced quantum metric due to vacancies in graphene
arXiv:2406.01408 · doi:10.1103/PhysRevLett.133.026002
Abstract
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.
6 pages, 3 figures
References in corpus (21)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Anderson Transitions
- Dirac materials
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Atomic-scale control of graphene magnetism using hydrogen atoms
- Disorder Induced Localized States in Graphene
- Electronic transport in graphene: A semi-classical approach including midgap states
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Electron transport in disordered graphene
- Superconductivity in rhombohedral trilayer graphene
- Resonant scattering by realistic impurities in graphene
- Understanding adsorption of hydrogen atoms on graphene
- Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
- Quantum metric-induced nonlinear transport in a topological antiferromagnet
- Eigenfunction fractality and pseudogap state near superconductor-insulator transition
- Quantum criticality and minimal conductivity in graphene with long-range disorder
- Impurity-induced triple point fermions in twisted bilayer graphene
- Density of states in graphene with vacancies: midgap power law and frozen multifractality
- Superfluid weight in the isolated band limit within the generalized random phase approximation
- Giant boost of the quantum metric in disordered one dimensional flat band systems
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- Exploring Multifractal Critical Phases in Two-Dimensional Quasiperiodic Systems
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- Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
- Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
- Regularized universal topological markers for Dirac systems
- Quantum Critical Dynamics Induced by Topological Zero Modes