English

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

High Energy Physics - Phenomenology 2014-02-06 v3 Mesoscale and Nanoscale Physics

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.

Keywords

Cite

@article{arxiv.1209.1712,
  title  = {Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model},
  author = {Michael Sarrazin and Fabrice Petit},
  journal= {arXiv preprint arXiv:1209.1712},
  year   = {2014}
}

Comments

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