Theory of Kondo lattice

Abstract

In order to understand the low temperature anomalous properties of some rare-earth compounds (such as CeAl2, CeAl3, TmSe), we introduce a Kondo lattice hamiltonian in which a localized 1/2 spin per site interacts antiferromagnetically with the conduction electron spins. We investigate the ground state properties of this hamiltonian by using a real space renormalization group method. After studying a simpler one dimensional analog we study the original hamiltonian in one dimension when there is one conduction electron per site.