Supplementary material to Heavy electrons and the symplectic symmetry of spin

TL;DR

This supplementary material elaborates on the symplectic symmetry of spin in heavy electron systems, detailing theoretical foundations, model derivations, and applications to specific compounds and frustrated magnetism.

Contribution

It provides detailed theoretical and computational methods for symplectic spin symmetry and its application to heavy electron materials and frustrated magnetic systems.

Findings

Development of a two-channel model for heavy electron systems

Application of symplectic-N mean field theory to NMR relaxation rates

Analysis of frustrated magnetism in J1-J2 model

Abstract

This online material provides the technical detail for ``Heavy electrons and the symplectic symmetry of spin",(arXiv 0710.1122). Three parts. Part I - symplectic spins, their properties and gauge symmetries. Part II - derivation of two-chanel model for tetragonal heavy electron systems with the view to application to PuCoGa5 and NpPd_5Al_2, symplectic-N mean field theory and computation of NMR relaxation rate. Part III - brief discussion of the application to frustrated magnetism in the J1-J2 model, mainly used to test the method.