3 papers
math-ph2024
Localization for quasi-one-dimensional Dirac operators
Hakim Boumaza, Sylvain Zalczer
We consider a random family of Dirac operators on parallel real lines, modelling for example a graphene nanoribbon. We establish a localization criterion involving properties o…
math-ph2020
Gap opening in the spectrum of some Dirac-like pseudo-differential operators
J. -M. Barbaroux, H. D. Cornean, S. Zalczer
In this paper, we study the opening of a spectral gap for a class of 2-dimensional periodic Hamiltonians which include those modelling multilayer graphene. The kinetic part of the…
math-ph2018
Localization for gapped Dirac Hamiltionians with random perturbations: Application to graphene antidot lattices
Jean-Marie Barbaroux, Horia D. Cornean, Sylvain Zalczer
In this paper we study random perturbations of first order elliptic operators with periodic potentials. We are mostly interested in Hamiltonians modeling graphene antidot lattices…