Spectral gaps in Graphene antidot lattices

Jean-Marie Barbaroux (1, 2) , Horia D. Cornean (3) , Edgardo Stockmeyer (4)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CPT - E8 Dynamique quantique et analyse spectrale
3 MATH. DEPT., AALBORG UNIVERSITY - Institut for Matematiske Fag, Aalborg university
4 UC - Pontificia Universidad Católica de Chile

We consider the gap creation problem in an antidot graphene lattice, i.e. a sheet of graphene with periodically distributed obstacles. We prove several spectral results concerning the size of the gap and its dependence on different natural parameters related to the antidot lattice.

Mots clés: Dirac operator; antidot lattices; Graphene; Periodic mass potential

Domaines: Physique mathématique [math-ph]

Jean-Marie Barbaroux, Horia D. Cornean, Edgardo Stockmeyer. Spectral gaps in Graphene antidot lattices. Integral Equations and Operator Theory, 2017, 89 (4), pp.631-646. ⟨10.1007/s00020-017-2411-9⟩. ⟨hal-01546056⟩