42 citations · 622 across the 80 of their papers we have counts for
7 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…
Beyond Diophantine Wannier diagrams: Gap labelling for Bloch-Landau Hamiltonians
Horia D. Cornean, Domenico Monaco, Massimo Moscolari
It is well known that, given a purely magnetic Landau Hamiltonian with a constant magnetic field which generates a magnetic flux per unit area, then any spectral islan…
Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices
Horia D. Cornean, Henrik Garde, Benjamin Støttrup +1
First, we reconsider the magnetic pseudodifferential calculus and show that for a large class of non-decaying symbols, their corresponding magnetic pseudodifferential operators can…
Impurity-bound excitons in one and two dimensions
Horia Cornean, Hynek Kovarik, Thomas G. Pederesen
We study three-body Schrödinger operators in one and two dimensions modelling an exciton interacting with a charged impurity. We consider certain classes of multiplicative interact…
Two dimensional Schr{\" o}dinger operators with point interactions: threshold expansions, zero modes and -boundedness of wave operators
Horia D. Cornean, Alessandro Michelangeli, Kenji Yajima
We study the threshold behaviour of two dimensional Schr{\" o}dinger operators with finitely many local point interactions. We show that the resolvent can either be continuously ex…