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- Title
Spectra of graphene nanoribbons with armchair and zigzag boundary conditions.
- Authors
Freitas, Pedro; Siegl, Petr
- Abstract
We study the spectral properties of the two-dimensional Dirac operator on bounded domains together with the appropriate boundary conditions which provide a (continuous) model for graphene nanoribbons. These are of two types, namely, the so-called armchair and zigzag boundary conditions, depending on the line along which the material was cut. In the former case, we show that the spectrum behaves in what might be called a classical way; while in the latter, we prove the existence of a sequence of finite multiplicity eigenvalues converging to zero and which correspond to edge states.
- Subjects
SPECTRUM analysis; GRAPHENE; NANORIBBONS; ARMCHAIRS; BOUNDARY value problems; EIGENVALUES
- Publication
Reviews in Mathematical Physics, 2014, Vol 26, Issue 10, p-1
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X14500184