Abstract

A self-consistent method for studying quantum spin fluctuations in the Mott-Hubbard antiferromagnet is presented within a diagrammatic scheme. The treatment involves the self-consistently renormalized one-particle Green's function (including its incoherent spectral part), and the renormalized spin-wave propagator, the exact long-wavelength form of which follows from an identity related to the commutation properties of spin-angular-momentum operators. In two dimensions, for the square-lattice case, we obtain M(0)=0.62 for the zero-temperature sublattice magnetization.

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