Agenda
Jeudi 18 juin 2020
TBA
Chiara Saffirio, Université de Basel, Suisse
Propriétés spectrales de modèles de graphène périodique et désordonné
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
Agenda
