Soutenance de thèse de Sylvain Zalczer dont le directeur de thèse est Jean-Marie Barbaroux.

La soutenance aura lieu en visioconférence (Crise sanitaire - Covid-19)

This thesis deals with various aspects of spectral theory of operators used to model graphene. It is made of two parts. The first parts deals with the periodic case. I begin by presenting a general theory of periodic systems. I introduce then different models of graphene and compare them. Finally, I look at various ways to make graphene a semiconductor. In particular, I study different types of nanoribbons and I give a result of gap opening for a pseudodifferential operator. The second part deals with the disordered case. I begin by presenting a general theory of random operators. Then, I briefly explain multiscale analysis, which is the method used to prove the main result of this theory, which is called Anderson localization. Finally, I give a proof of this localization for a model of graphene and a result on the integrated density of states

Informations pratiques