LOCALIZED MAGNETIC MOMENT IN METAL

The effects of the orbital degeneracy on the condition of the existence of a localized moment are discussed by using Anderson's model Hamiltonian, and essentially different characters between the singlet orbital case and the degenerate orbital case are emphasized. It is shown that the lowest energy solution of the Hartree-Fock approximation is restricted to the low density limit—(all the levels are nearly filled or nearly empty)—for sufficiently small s-d mixing, and the magnetic moment on the impurity atom changes the value with a step of nearly 1 Bohr's magneton. The correlation effect is also estimated for the low density limit, and it is shown that the Hartree-Fock solution is a good first order approximation for the degenerate orbital case. © 1968, THE PHYSICAL SOCIETY OF JAPAN. All rights reserved.