Abstract
A unified theory of ferromagnetism is developed for a system containing a single electronic energy band with delta-function interactions between electrons. Using a Green function technique an approximate solution of the correlation problem is obtained, the decoupling scheme being uniquely determined from the random phase approximation. Spin waves are thus taken into account. Conditions are derived for the existence of saturated solutions to the self-consistency equations, and these appear to be satisfied in nickel. The mechanism for the existence of ferromagnetism in nickel is then simply explained on the basis of the theory. An analytic expression for the low-temperature magnetization of a saturated ferromagnet is calculated.
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