42 citations · 189 across the 22 of their papers we have counts for
3 papers · 1 filter
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…
Resolvent convergence to Dirac operators on planar domains
Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust +1
Consider a Dirac operator defined on the whole plane with a mass term of size m supported outside a domain Omega. We give a simple proof for the norm resolvent convergence, as m go…
On the semiclassical spectrum of the Dirichlet-Pauli operator
Jean-Marie Barbaroux, Loïc Le Treust, Nicolas Raymond +1
This paper is devoted to semiclassical estimates of the eigenvalues of the Pauli operator on a bounded open set whose boundary carries Dirichlet conditions. Assuming that the magne…