The derivation of the analytic expressions of the dynamical susceptibility based on the Hubbard-Hirsch Hamiltonian

Abstract

Investigation have been carried out on the spin wave energy of a ferromagnet using the random-phase approximation (RPA) in the Stoner model. Based on the Hubbard-Hirsch Hamiltonian, in this paper we study the spin excitation in an itinerant-electron system with the Hartree-Fock Approximation (HFA) to derive the analytic expressions of the dynamical susceptibility of the spin system, by setting up the equation of motion and solving it in a generalized HFA of the susceptibility tensor, Χ^-+, and quoting the result for the first derivative of the Green's function.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 579-582