Abstract
An application of the method developed in our previous papers to a two-dimensional isotropic Heisenberg antiferromagnet of S= 1/2 on a square lattice is presented. A self-consistent independent spin-wave representation (SCISWR) is proposed in which we have performed the renormalization from both the dynamic and kinematics interaction and calculated the corrections from the correlation of the nearest-neighbour and next-nearest-neighbour sites. An anisotropy spin-wave excitation energy in unrestricted space is found self-consistently and has a gap. The difficulty of divergence of higher-order terms in usual spin-wave theory seems to have been overcome. Our calculation shows gives a ground-state energy E approximately=-0.659NJ.
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