The Kondo-lattice state in the presence of Van Hove singularities: a next-leading order scaling description

TL;DR

This paper uses next-leading order renormalization group scaling to analyze the Kondo model with Van Hove singularities, revealing extensive non-Fermi-liquid behavior and magnetic phase effects.

Contribution

It introduces a next-leading order scaling approach to the Kondo model with Van Hove singularities, advancing understanding of magnetic phases and non-Fermi-liquid regions.

Findings

Effective coupling remains small during scaling

Magnetic moment and spin-fluctuation frequency decrease significantly

Wide regions of non-Fermi-liquid behavior are identified

Abstract

A renormalization group treatment of the Kondo model with logarithmic Van Hove singularity in the electron density of states is performed within next-leading order scaling, different magnetic phases being considered. The effective coupling constant remains small, renormalized magnetic moment and spin-fluctuation frequency decreasing by several orders of magnitude. Thus wide non-Fermi-liquid behavior regions are found from the scaling trajectories in a broad interval of the bare coupling parameter. Applications to itinerant magnetism theory are discussed.