Kondo lattice 


Introduction to the kondo latticeThe Kondo lattice model is a quantum mechanical toy model of solid state physics to model interactions between conduction electrons and localized spin degrees of freedom in one (1D), two (2D) and three (3D) dimensions. It has been studied for more than three decades up to now and its applications are found for many physical systems, e.g., GaAs quantum dots (2D), quantum wires (1D), carbo nanotubes (1D), manganites (3D) and many other systems.The interaction between the local spin degrees of freedom is dynamically generated by means of the conduction electrons, which can hop to their nearest neighbor lattice sites and exchange spin with the onsite local spin degree of freedom. Typically, all spins are taken to be one half. The model can be extended, e.g., by Coulomb interaction between the conduction electrons and by dipole interaction between the localized spins. 