On magnetic susceptibility of a spin-S impurity in nearly ferromagnetic Fermi liquid

TL;DR

This paper uses renormalization group analysis to study the magnetic susceptibility of a spin-S impurity in nearly ferromagnetic Fermi liquids, revealing temperature-dependent behavior and a maximum in the susceptibility derivative.

Contribution

It provides a second-order renormalization group analysis of impurity susceptibility in nearly ferromagnetic Fermi liquids, including weak and strong coupling regimes.

Findings

Susceptibility derivative with temperature has a maximum.

Behavior of impurity susceptibility at low and high temperatures.

Renormalization group functions are evaluated to second order.

Abstract

We present the renormalization group analysis for the problem of a spin-S impurity in nearly ferromagnetic Fermi liquid. We evaluate the renormalization group function that governs the temperature behavior of the invariant charge to the second order of both weak and strong coupling expansions. It allows us to determine behavior of the zero field magnetic susceptibility of impurity at low and high temperatures. We predict that derivative of the susceptibility with temperature should always have the maximum.