An Index Theorem for Graphene

Details An Index Theorem for Graphene An Index Theorem for Graphene

2006-07-15

arxiv.org/abs/cond-mat/0607394v4

Int.J.Mod.Phys.B21:5113-5120,2007

Physics

Condensed Matter

Materials Science

4 pages, 1 figure, new version to appear in IJMPB

Scientific paper

10.1142/S0217979207038228

We consider a graphene sheet folded in an arbitrary geometry, compact or with nanotube-like open boundaries. In the continuous limit, the Hamiltonian takes the form of the Dirac operator, which provides a good description of the low energy spectrum of the lattice system. We derive an index theorem that relates the zero energy modes of the graphene sheet with the topology of the lattice. The result coincides with analytical and numerical studies for the known cases of fullerene molecules and carbon nanotubes and it extend to more complicated molecules. Potential applications to topological quantum computation are discussed.

Affiliated with

Also associated with

No associations

Rating

An Index Theorem for Graphene does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Index Theorem for Graphene, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Index Theorem for Graphene will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-331388