A Kaluza-Klein description of geometric phases in graphene

Journal Article · Fri Dec 14 23:00:00 EST 2012 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2012.08.005· OSTI ID:22157017

In this paper, we use the Kaluza-Klein approach to describe topological defects in a graphene layer. Using this approach, we propose a geometric model allowing us to discuss the quantum flux in K-spin subspace. Within this model, the graphene layer with a topological defect is described using a four-dimensional metric, where the deformation produced by the topological defect is introduced via the three-dimensional part of a metric tensor, while an Abelian gauge field is introduced via an extra dimension. We use this new geometric model to discuss the arising of topological quantum phases in a graphene layer with a topological defect. - Highlights: Black-Right-Pointing-Pointer Application of the Kaluza-Klein theory for graphene. Black-Right-Pointing-Pointer A geometrical model describing the Fermi points in a graphene layer. Black-Right-Pointing-Pointer A geometric description of the quantum phases of the K-spin subspace in the presence of a disclination.

• OSTI ID: 22157017
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 12 Vol. 327; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
77 NANOSCIENCE AND NANOTECHNOLOGY
DEFECTS
DEFORMATION
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GRAPHENE
KALUZA-KLEIN THEORY
LAYERS
METRICS
NANOSTRUCTURES
QUANTUM FIELD THEORY
SPIN
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY