Dynamical localization of Dirac particles in electromagnetic fields with dominating magnetic potentials

Abstract

We consider two-dimensional massless Dirac operators in a radially symmetric electromagnetic field. In this case the fields may be described by one-dimensional electric and magnetic potentials $V$ and $A$. We show dynamical localization in the regime when $\underset{r\to \infty }{\lim }|V|/|A|<1$, where dense point spectrum occurs.

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene