Critical properties of the Fermi-Bose Kondo and pseudogap Kondo models: Renormalized perturbation theory

TL;DR

This paper uses renormalized perturbation theory to analyze critical properties of Fermi-Bose and pseudogap Kondo models, revealing non-Fermi liquid behavior and local quantum criticality near intermediate fixed points.

Contribution

It provides a detailed calculation of impurity properties near critical points in Fermi-Bose and pseudogap Kondo models using renormalization group and perturbation methods.

Findings

Calculated impurity susceptibility and residual entropy at critical points

Identified non-Fermi liquid behavior in impurity models

Linked impurity properties to local quantum criticality scenarios

Abstract

Magnetic impurities coupled to both fermionic and bosonic baths or to a fermionic bath with pseudogap density of states, described by the Fermi-Bose Kondo and pseudogap Kondo models, display non-trivial intermediate coupling fixed points associated with critical local-moment fluctuations and local non-Fermi liquid behavior. Based on renormalization group together with a renormalized perturbation expansion around the free-impurity limit, we calculate various impurity properties in the vicinity of those intermediate-coupling fixed points. In particular, we compute the conduction electron T matrix, the impurity susceptibility, and the residual impurity entropy, and relate our findings to certain scenarios of local quantum criticality in strongly correlated lattice models.