The Fermi edge singularity in the SU(N) Wolff model

TL;DR

This paper investigates the low temperature behavior of the SU(N) Wolff impurity model using Abelian bosonization, revealing local Fermi liquid behavior and the impact of impurity on correlation functions and X-ray absorption.

Contribution

It provides an exact evaluation of low temperature properties of the SU(N) Wolff model, highlighting the effects of impurity on Green's functions and correlation functions.

Findings

Single particle Green's function is enhanced by local correlations.

Charge and spin correlators exhibit local Fermi liquid behavior.

X-ray absorption exponent is modified by Hubbard interactions.

Abstract

The low temperature properties of the SU(N) Wolff impurity model are studied via Abelian bosonization. The path integral treatment of the problem allows for an exact evaluation of low temperature properties of the model. The single particle Green's function enhances due to the presence of local correlation. The basic correlation function such as the charge or spin correlator are also influenced by the presence of impurity, and show local Fermi liquid behaviour. The X-ray absorption is affected by the presence of local Hubbard interaction. The exponent is decreased (increased) for repulsive (attractive) interactions.