Orthogonality catastrophe and Kondo effect in graphene

TL;DR

This paper investigates how the orthogonality catastrophe and Kondo effect behave in graphene near the Dirac point, revealing suppression in clean systems and similarities to metals with localized states, impacting tunneling and magnetic impurity phenomena.

Contribution

It provides a detailed analysis of orthogonality catastrophe in graphene, highlighting the effects of the Dirac point and localized states on many-body phenomena.

Findings

Orthogonality catastrophe is suppressed near the Dirac point in clean graphene.

Localized states at the Dirac energy restore features similar to normal metals.

Implications for Kondo effect and Fermi edge singularities in graphene are discussed.

Abstract

Anderson's orthogonality catastrophe in graphene, at energies close to the Dirac point, is analyzed. It is shown that, in clean systems, the orthogonality catastrophe is suppressed, due to the vanishing density of states at the Dirac point. In the presence of preexisting localized states at the Dirac energy, the orthogonality catastrophe shows similar features to those found in normal metals with a finite density of states at the Fermi level. The implications for the Kondo effect induced by magnetic impurities, and for the Fermi edge singularities in tunneling processes are also discussed.