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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities

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Scattering by linear defects in graphene: a tight-binding approach.

J N B Rodrigues¹, N M R Peres, J M B Lopes dos Santos

¹CFP and Departamento de Física e Astronomia, Faculdade de Ciências Universidade do Porto, P-4169-007 Porto, Portugal.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|January 24, 2013

Summary

We developed a new method to calculate how light passes through defects in graphene using simple physics. This approach simplifies complex graphene defect analysis for researchers.

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Area of Science:

Condensed Matter Physics
Materials Science
Nanotechnology

Background:

Graphene's unique electronic properties are sensitive to structural defects.
Understanding transmittance through graphene defects is crucial for electronic applications.
Periodic defect lines significantly alter graphene's electronic behavior.

Purpose of the Study:

To develop an analytical scattering formalism for calculating transmittance through periodic defect lines in graphene.
To provide a simplified computational method for analyzing graphene defects.
To investigate transmittance for various defect line configurations.

Main Methods:

Utilized the tight-binding model of graphene.
Developed an analytical scattering formalism.
Reduced the problem to matrix manipulations for computational analysis.
Applied the method to pentagon-only, zz(558), and zz(5757) defect lines.

Main Results:

Successfully computed transmittance through different periodic defect lines in graphene.
Demonstrated the formalism's applicability to simple and complex defect structures.
The method relies on fundamental tight-binding concepts and matrix algebra.

Conclusions:

The developed analytical scattering formalism offers an efficient way to study graphene defects.
This simplified approach facilitates the analysis of transmittance in defective graphene.
The method is accessible for computational implementation using algebraic calculators.