Theory of ground states for classical Heisenberg spin systems VI

TL;DR

This paper extends a rigorous theory of ground states for classical Heisenberg spin systems by analyzing susceptibility at saturation, distinguishing between different system types, and verifying results with examples.

Contribution

It introduces analytical calculations of susceptibility at saturation for various ground state classes, expanding the theoretical framework of classical Heisenberg spin systems.

Findings

Susceptibility at saturation calculated analytically.

Distinction between parabolic and non-parabolic systems.

Verification of theoretical results with examples.

Abstract

We formulate part VI of a rigorous theory of ground states for classical, finite, Heisenberg spin systems. After recapitulating the central results of the parts I - V previously published we consider a magnetic field and analytically calculate the susceptibility at the saturation point. To this end we have to distinguish between parabolic and non-parabolic systems, and for the latter ones between two- and three-dimensional ground states. These results are checked for a couple of examples.