Exact Diagonalization of the RKKY Lattice Reduced from the Anderson Lattice

Abstract

The effective RKKY coupling constants are derived from the one dimensional 22-site Anderson lattice model with various band fillings in the fourth order perturbation with respect to d-f mixing element, assuming that the other parameters belong to the Kondo regime. The resulting RKKY lattice model has been exactly diagonalized in terms of Lanczos method. The ground state f-spin correlation functions are studied in detail. It is shown that a long range correlation is stabilized in the case of general filling of conduction band compared to the nearest-neighbor antiferromagnetic Heisenberg model, reflecting the coherent nature of RKKY coupling based on the Anderson lattice model.