The ground state of the Kondo model with large spin

TL;DR

This paper proves the uniqueness of the ground state in the large-spin Kondo model, characterizes its spin, discusses energy levels, and demonstrates ferrimagnetism in certain cases.

Contribution

It provides a rigorous proof of ground state properties and spin characteristics for the large-spin Kondo model, including conditions for ferrimagnetism.

Findings

Ground state is nondegenerate except for SU(2) symmetry at half filling.

Ground state spin is explicitly determined.

Ferrimagnetism exists in specific parameter regimes.

Abstract

In this paper, we prove that the ground state of the Kondo model with large spin is nondegenerate, apart from a SU(2) spin degeneracy in the case of half filling. The ground state spin is found for the system, and the energy level orderings are discussed. Finally, the existence of ferrimagnetism in some cases is proved.