https://doi.org/10.1140/epjb/e2013-40492-5
Regular Article
Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model
1
Research Center in Physics of Matter and Radiation, University of
Namur, 61 rue de
Bruxelles, 5000
Namur,
Belgium
2
BCRC (Member of EMRA), 4 avenue du gouverneur
Cornez, 7000
Mons,
Belgium
a
e-mail: michael.sarrazin@unamur.be
Received: 15 May 2013
Received in final form: 24 September 2013
Published online: 27 January 2014
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.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2014
