3 papers
math-ph2024
Dynamical localization for random scattering zippers
Amine Khouildi, Hakim Boumaza
This article establishes a proof of dynamical localization for a random scattering zipper model. The scattering zipper operator is the product of two unitary by blocks operators, m…
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-ph2024
Analytic expression of the DOS for a new model of 1d-potential and its random perturbation
Hakim Boumaza, Olivier Lafitte
In this article we present comparisons between the spectrum of a one-dimensional Schrödinger operator for a particular periodic potential and for its restriction to a finite numbe…