Cristina Bena and Gilles Montambaux 2009 New J. Phys. 11 095003 doi:10.1088/1367-2630/11/9/095003
Remarks on the tight-binding model of graphene
Focus on GrapheneCristina Bena1,2,3 and Gilles Montambaux1
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We address a simple but fundamental issue arising in the study of graphene, as well as of other systems that have a crystalline structure with more than one atom per unit cell. For these systems, the choice of the tight-binding basis is not unique. For monolayer graphene two bases are widely used in the literature. While the expectation values of operators describing physical quantities should be independent of basis, the form of the operators may depend on the basis, especially in the presence of disorder or of an applied magnetic field. Using an inappropriate form of certain operators may lead to erroneous physical predictions. We discuss the two bases used to describe monolayer graphene, as well as the form of the most commonly used operators in the two bases. We repeat our analysis for the case of bilayer graphene.
- PACS
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61.48.-c Structure of fullerenes and related hollow molecular clusters
- Subjects
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Condensed matter: electrical, magnetic and optical
- Dates
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Issue 9 (September 2009)
Received 18 February 2009
Published 30 September 2009
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Remarks on the tight-binding model of graphene
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