Boundary conditions in the Dirac approach to graphene devices

Details Boundary conditions in the Dirac approach to graphene devices Boundary conditions in the Dirac approach to graphene devices

2010-11-11

arxiv.org/abs/1011.2772v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, no figure. Section on Casimir energy added

Scientific paper

We study a family of local boundary conditions for the Dirac problem corresponding to the continuum limit of graphene, both for nanoribbons and nanodots. We show that, among the members of such family, MIT bag boundary conditions are the ones which are in closest agreement with available experiments. For nanotubes of arbitrary chirality satisfying these last boundary conditions, we evaluate the Casimir energy via zeta function regularization, in such a way that the limit of nanoribbons is clearly determined.

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