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Graphene physics via the Dirac oscillator in (2+1) dimensions

Strange, Paul, Quimbay, Carlos (2013) Graphene physics via the Dirac oscillator in (2+1) dimensions. arXiv.org > cond-mat > arXiv:1311.2021, . (Unpublished) (KAR id:58765)

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Official URL
https://arxiv.org/abs/1311.2021

Abstract

We show how the two-dimensional Dirac oscillator model can describe some properties of

electrons in graphene. This model explains the origin of the left-handed chirality observed for

charge carriers in monolayer and bilayer graphene. The relativistic dispersion relation observed

for monolayer graphene is obtained directly from the energy spectrum, while the parabolic

dispersion relation observed for the case of bilayer graphene is obtained in the non-relativistic

limit. Additionally, if an external magnetic field is applied, the unusual Landau-level spectrum for

monolayer graphene is obtained, but for bilayer graphene the model predicts the existence of a magnetic

field-dependent gap. Finally, this model also leads to the existence of a chiral phase transition.

Item Type: Article
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Natural Sciences > Physics and Astronomy
Depositing User: Paul Strange
Date Deposited: 17 Nov 2016 17:52 UTC
Last Modified: 16 Nov 2021 10:23 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/58765 (The current URI for this page, for reference purposes)
Strange, Paul: https://orcid.org/0000-0001-5818-8032
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