Kaluza-Klein description of geometric phases in graphene

Abstract

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 to discuss the quantum flux in $K$-spin subspace. Within this model, the graphene layer with a topological defect is described by a four-dimensional metric, where the deformation produced by the topological defect is introduced via the three-dimensional part of 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.

16 pages, version accepted to Annals of Physics

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• Description for rotating $C_{60}$ fullerenes via Gödel-type metric
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• Graphene-based topological insulator in the presence of a disclination submitted to a uniform magnetic field
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time
• Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation
• Effects of Kaluza-Klein theory and potential on a generalized Klein-Gordon oscillator in the cosmic string space-time
• On one-loop corrections in the non-minimal dimension-five extension of QED
• Quantum Holonomy based in a Kaluza-Klein description for defects in $C_{60}$ fullerenes
• Rotation effects on the graphene wormhole energy levels