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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
Published on: July 24, 2015
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Enhanced Quantum Metric due to Vacancies in Graphene
Quentin Marsal1, Annica M Black-Schaffer1
1Department of Physics and Astronomy, <a href="https://ror.org/048a87296">Uppsala University</a>, Box 516, 751 20 Uppsala, Sweden.
Physical Review Letters
|July 29, 2024
Summary
Random vacancies in graphene create defect states with enhanced electronic correlations. This enhancement arises from long-range interactions between vacancies, linked to multifractal wave functions and chiral symmetry preservation.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Mechanics
Background:
- Graphene monolayers with random vacancies exhibit defect states forming a narrow impurity band around zero energy at half filling.
- Understanding the electronic correlations within these impurity bands is crucial for predicting material properties.
Purpose of the Study:
- To investigate the electronic correlations in the impurity band of graphene with random vacancies.
- To identify the mechanisms responsible for the enhancement of these correlations.
Main Methods:
- Utilized a space-resolved formulation of the quantum metric.
- Analyzed the nature of vacancy wave functions and their spatial correlations.
Main Results:
- Established a strong enhancement of electronic correlations within the impurity band.
- Identified that strong correlations between spatially distant vacancies on different sublattices are the primary cause.
- Linked the enhancement to multifractal vacancy wave functions and preserved chiral symmetry, placing the system at the Anderson insulator transition.
Conclusions:
- The electronic correlations in graphene's vacancy impurity band are significantly enhanced.
- This enhancement is driven by long-range vacancy-vacancy interactions and multifractality.
- The findings provide insights into the electronic behavior of disordered 2D materials.
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