Chiral phase transition and quantum revivals in graphene

We explain the dynamics of charge carriers in graphene using a two dimensional Dirac oscillator in the presence of an external magnetic field. The energy dispersion relation with linear behavior corresponds to monolayer graphene in a relativistic regime, whereas parabolic behavior appears in the cas...

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Bibliographic Details
Published inMaterials research express Vol. 2; no. 9; pp. 95602 - 8
Main Authors Ali, Rfaqat, Saif, Farhan
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2015
Subjects
chirality
Collapse
Dispersions
Energy gap
Graphene
Magnetic fields
Monolayers
Oscillators
Phase transformations
quantum revivals
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Summary:We explain the dynamics of charge carriers in graphene using a two dimensional Dirac oscillator in the presence of an external magnetic field. The energy dispersion relation with linear behavior corresponds to monolayer graphene in a relativistic regime, whereas parabolic behavior appears in the case of bilayer graphene in a non-relativistic regime. We show that in the bilayer graphene model, a magnetic field-dependent energy gap exists, whereas a changing external magnetic field leads to a chiral phase transition. Our model explains the phenomenon of collapse and revivals and chiral phase transition in the presence of a magnetic field in monolayer and bilayer graphene. The displayed collapses and revivals occur due to Zitterbewegung and classical cyclotron motion.
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ISSN:2053-1591
2053-1591
DOI:10.1088/2053-1591/2/9/095602