2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
On boundedness of isomerization paths for non- and semirelativistic molecules
Ioannis Anapolitanos, Marco Olivieri, Sylvain Zalczer
This article focuses on isomerizations of molecules, i.e. chemical reactions during which a molecule is transformed into another one with the same atoms in a different spatial conf…
Localization for one-dimensional Anderson-Dirac models
Sylvain Zalczer
We prove spectral and dynamical localization for a one-dimensional Dirac operator to which is added an ergodic random potential, with a discussion on the different types of potenti…
Regularity of the density of states for random Dirac operators
Sylvain Zalczer
We consider the random Dirac operators for which we have proved Anderson localization in arXiv:1812.01868. We use the Wegner estimate we have got in that paper to prove Lipschitz r…
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…
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…