Qualitative analysis of trapped Dirac fermions in graphene
Mesoscale and Nanoscale Physics
2015-01-08 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
We study the confinement of Dirac fermions in graphene and in carbon nanotubes by an external magnetic field, mechanical deformations or inhomogeneities in the substrate. By applying variational principles to the square of the Dirac operator, we obtain sufficient and necessary conditions for confinement of the quasi-particles. The rigorous theoretical results are illustrated on the realistic examples of the three classes of traps.
Cite
@article{arxiv.1405.2535,
title = {Qualitative analysis of trapped Dirac fermions in graphene},
author = {Vit Jakubsky and David Krejcirik},
journal= {arXiv preprint arXiv:1405.2535},
year = {2015}
}
Comments
17 pages, analysis of the systems with the non-vanishing mass corrected