Disorder induced localized States in graphene

Area of Science:

• Condensed Matter Physics
• Materials Science

Background:

• Honeycomb lattices are fundamental structures in condensed matter.
• Understanding electronic states near defects is crucial for material properties.

Purpose of the Study:

• Investigate electronic structure modifications induced by vacancies.
• Analyze the behavior of localized states under broken particle-hole symmetry.
• Examine the impact of vacancy density on electronic localization.

Main Methods:

• Theoretical analysis of electronic structure.
• Calculations of localized states and resonances.
• Study of electronic density of states for finite vacancy concentrations.

Main Results:

• Vacancies induce localized electronic states in the honeycomb lattice.
• Broken particle-hole symmetry transforms localized states into resonances near the Fermi level.
• Finite vacancy densities affect the electronic density of states and lead to electronic localization.

Conclusions:

• Localized states near vacancies are a key feature of honeycomb lattices.
• The interplay between vacancies, symmetry, and electronic states has implications for superconductivity.
• Results provide insights into disorder effects in d-wave superconductors.