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

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  • Michaël Sarrazin
  • Fabrice Petit

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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Michaël Sarrazin & Fabrice Petit, 2014. "Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(1), pages 1-11, January.
  • Handle: RePEc:spr:eurphb:v:87:y:2014:i:1:p:1-11:10.1140/epjb/e2013-40492-5
    DOI: 10.1140/epjb/e2013-40492-5
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    Mesoscopic and Nanoscale Systems;

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