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arXiv · 1209.1712

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

Michael Sarrazin·Fabrice Petit
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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.

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Michael Sarrazin, Fabrice Petit. 2013-12-19. Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model. https://doi.org/10.1140/epjb%2Fe2013-40492-5

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