Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model

Abstract

It is shown that exciton swapping between two graphene sheets may occur under specific conditions. A magnetically tunable optical filter is described to demonstrate this new effect. Mathematically, it is shown that two turbostratic graphene layers can be described as a "noncommutative" two-sheeted (2+1)-spacetime thanks to a formalism previously introduced for the study of braneworlds in high energy physics. The Hamiltonian of the model contains a coupling term connecting the two layers which is similar to the coupling existing between two braneworlds at a quantum level. In the present case, this term is related to a K-K' intervalley coupling. In addition, the experimental observation of this effect could be a way to assess the relevance of some theoretical concepts of the braneworld hypothesis.

15 pages, 3 figures, final version published in European Physical Journal B

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• Doping graphene with metal contacts
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• Exciton formation in graphene bilayer
• Noncommutative Graphene
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Cited by in corpus (6)

• Electron-phonon scattering and in-plane electric conductivity in twisted bilayer graphene
• Sub-GeV-scale signatures of hidden braneworlds up to the Planck scale in a $SO(3,1)$-broken bulk
• Non-Commutativity effects in the Dirac equation in crossed electric and magnetic fields
• Violation of C/CP Symmetry Induced by a Scalar Field Emerging from a Two-Brane Universe: A Gateway to Baryogenesis
• Magnetoresistance of composites based on graphitic disks and cones
• Exciton Binding Energies in 2D Materials: Insights from Braneworld Physics