A free-electron model for the Dirac bands in graphene

We present a new method for describing the electronic structure of graphene, by treating the honeycomb lattice as an arrangement of crisscrossing one-dimensional quantum wires. The electrons travel as free particles along the wires and interfere at the three-way junctions formed by the carbon atoms....

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Bibliographic Details
Published in:Physical review. B 2016-11, Vol.94 (20), Article 205126
Main Authors: Kissinger, G. S., Satpathy, S.
Format: Article
Language:English
Subjects:
Electronic structure
Graphene
Honeycomb construction
Lattice vacancies
Quantum theory
Quantum wires
Wave functions
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Summary:We present a new method for describing the electronic structure of graphene, by treating the honeycomb lattice as an arrangement of crisscrossing one-dimensional quantum wires. The electrons travel as free particles along the wires and interfere at the three-way junctions formed by the carbon atoms. The approach produces the linearly dispersive Dirac band structure as well as the chiral pseudo-spin-wave functions. When vacancies are incorporated, the model reproduces the well known zero mode states.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.94.205126